https://www.math.wisc.edu/wiki/api.php?action=feedcontributions&user=Spagnolie&feedformat=atomUW-Math Wiki - User contributions [en]2020-02-29T10:43:20ZUser contributionsMediaWiki 1.30.1https://www.math.wisc.edu/wiki/index.php?title=Applied/Physical_Applied_Math&diff=19051Applied/Physical Applied Math2020-02-18T15:22:34Z<p>Spagnolie: /* Spring 2020 */</p>
<hr />
<div>= Physical Applied Math Group Meeting =<br />
<br />
*'''When:''' Thursdays at 4:00pm (unless there is a [https://www.math.wisc.edu/deptmeetings Department Meeting])<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~spagnolie Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the Physical Applied Math mailing list:''' See the [https://admin.lists.wisc.edu/index.php?p=11&l=phys_appl_math mailing list website].<br />
<br />
== Spring 2020 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Jan. 30<br />
|Jean-Luc<br />
|Organizational meeting; [https://www.dropbox.com/s/bnjpyud6h8u3lav/homog_periodic_lattice_group_meeting.pdf?dl=0 Homogenization of a periodic lattice]<br />
|-<br />
|Feb. 6<br />
|Gage<br />
|Krasilov et al., [https://bura.brunel.ac.uk/bitstream/2438/419/1/Growing%20Random%20Sequences.pdf Growing random sequences]<br> Makover and McGowan, [https://arxiv.org/abs/math/0510159 An elementary proof that random Fibonacci sequences grow exponentially]<br />
|-<br />
|Feb. 13<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Feb. 20<br />
|Saverio<br />
|Greengard and Jiang, [https://epubs.siam.org/doi/abs/10.1137/18M1216158 A New Mixed Potential Representation for Unsteady, Incompressible Flow]<br />
|-<br />
|Feb. 27<br />
|Wil<br />
|''EC?''<br />
|-<br />
|Mar. 5<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Mar. 12<br />
|Ruifu<br />
|''EC?''<br />
|-<br />
|Mar. 19<br />
|<br />
|''Spring Break''<br />
|-<br />
|Mar. 26<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Apr. 2<br />
|Keaton Burns?<br />
|<br />
|-<br />
|Apr. 9<br />
|<br />
|<br />
|-<br />
|Apr. 16<br />
|<br />
|<br />
|-<br />
|Apr. 23<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Apr. 30<br />
|<br />
|<br />
|-<br />
|}<br />
<br />
== Archived semesters ==<br />
*[[Applied/Physical_Applied_Math/Fall2019|Fall 2019]]<br />
*[[Applied/Physical_Applied_Math/Spring2019|Spring 2019]]<br />
*[[Applied/Physical_Applied_Math/Fall2018|Fall 2018]]<br />
*[[Applied/Physical_Applied_Math/Spring2018|Spring 2018]]<br />
*[[Applied/Physical_Applied_Math/Fall2017|Fall 2017]]<br />
*[[Applied/Physical_Applied_Math/Spring2017|Spring 2017]]<br />
*[[Applied/Physical_Applied_Math/Fall2016|Fall 2016]]<br />
*[[Applied/Physical_Applied_Math/Spring2016|Spring 2016]]<br />
*[[Applied/Physical_Applied_Math/Fall2015|Fall 2015]]<br />
*[[Applied/Physical_Applied_Math/Spring2015|Spring 2015]]<br />
*[[Applied/Physical_Applied_Math/Summer2014|Summer 2014]]<br />
*[[Applied/Physical_Applied_Math/Spring2014|Spring 2014]]<br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Colloquia&diff=18960Colloquia2020-02-09T18:08:13Z<p>Spagnolie: </p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
<br />
<br />
==Fall 2019==<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 6 '''Room 911'''<br />
| Will Sawin (Columbia)<br />
| [[#Will Sawin (Columbia) | On Chowla's Conjecture over F_q[T] ]]<br />
| Marshall<br />
|-<br />
|Sept 13<br />
| [https://www.math.ksu.edu/~soibel/ Yan Soibelman] (Kansas State)<br />
|[[#Yan Soibelman (Kansas State)| Riemann-Hilbert correspondence and Fukaya categories ]]<br />
| Caldararu<br />
|<br />
|-<br />
|Sept 16 '''Monday Room 911'''<br />
| [http://mate.dm.uba.ar/~alidick/ Alicia Dickenstein] (Buenos Aires)<br />
|[[#Alicia Dickenstein (Buenos Aires)| Algebra and geometry in the study of enzymatic cascades ]]<br />
| Craciun<br />
|<br />
|-<br />
|Sept 20<br />
| [https://math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|[[#Jianfeng Lu (Duke) | How to "localize" the computation?]]<br />
| Qin<br />
|<br />
|-<br />
|Sept 26 '''Thursday 3-4 pm Room 911'''<br />
| [http://eugeniacheng.com/ Eugenia Cheng] (School of the Art Institute of Chicago)<br />
| [[#Eugenia Cheng (School of the Art Institute of Chicago)| Character vs gender in mathematics and beyond ]]<br />
| Marshall / Friends of UW Madison Libraries<br />
|<br />
|-<br />
|Sept 27<br />
|<br />
|<br />
|-<br />
|Oct 4<br />
|<br />
|<br />
|-<br />
|Oct 11<br />
| Omer Mermelstein (Madison)<br />
| [[#Omer Mermelstein (Madison)| Generic flat pregeometries ]]<br />
|Andrews<br />
|<br />
|-<br />
|Oct 18<br />
| Shamgar Gurevich (Madison)<br />
| [[#Shamgar Gurevich (Madison) | Harmonic Analysis on GL(n) over Finite Fields ]]<br />
| Marshall<br />
|-<br />
|Oct 25<br />
|<br />
|-<br />
|Nov 1<br />
|Elchanan Mossel (MIT)<br />
|Distinguished Lecture<br />
|Roch<br />
|-<br />
|Nov 8<br />
|Jose Rodriguez (UW-Madison)<br />
|[[#Jose Rodriguez (UW-Madison) | Nearest Point Problems and Euclidean Distance Degrees]]<br />
|Erman<br />
|-<br />
|Nov 13 '''Wednesday 4-5pm'''<br />
|Ananth Shankar (MIT)<br />
|Exceptional splitting of abelian surfaces<br />
|-<br />
|Nov 20 '''Wednesday 4-5pm'''<br />
|Franca Hoffman (Caltech)<br />
|[[#Franca Hoffman (Caltech) | Gradient Flows: From PDE to Data Analysis]]<br />
|Smith<br />
|-<br />
|Nov 22<br />
| Jeffrey Danciger (UT Austin)<br />
| [[#Jeffrey Danciger (UT Austin) | "Affine geometry and the Auslander Conjecture"]]<br />
| Kent<br />
|-<br />
|Nov 25 '''Monday 4-5 pm Room 911'''<br />
|Tatyana Shcherbina (Princeton)<br />
| [[# Tatyana Shcherbina (Princeton)| "Random matrix theory and supersymmetry techniques"]]<br />
|Roch<br />
|-<br />
|Nov 29<br />
|Thanksgiving<br />
|<br />
|-<br />
|Dec 2 '''Monday 4-5pm'''<br />
|Tingran Gao (University of Chicago)<br />
| [[#Tingran Gao (University of Chicago)| "Manifold Learning on Fibre Bundles"]]<br />
|Smith<br />
|-<br />
|Dec 4 '''Wednesday 4-5 pm Room 911'''<br />
|Andrew Zimmer (LSU)<br />
|[[#Andrew Zimmer (LSU)| "Intrinsic and extrinsic geometries in several complex variables"]]<br />
|Gong<br />
|-<br />
|Dec 6<br />
|Charlotte Chan (MIT)<br />
|[[#Charlotte Chan (MIT)|"Flag varieties and representations of p-adic groups"]]<br />
|Erman<br />
|-<br />
|Dec 9 '''Monday 4-5 pm'''<br />
|Hui Yu (Columbia)<br />
|[[#Hui Yu (Columbia)|Singular sets in obstacle problems]]<br />
|Tran<br />
|-<br />
|Dec 11 '''Wednesday 2:30-3:30pm Room 911'''<br />
|Alex Waldron (Michigan)<br />
|[[#Alex Waldron (Michigan)|Gauge theory and geometric flows]]<br />
|Paul<br />
|-<br />
|Dec 11 '''Wednesday 4-5pm'''<br />
|Nick Higham (Manchester)<br />
|[[#Nick Higham (Manchester)|LAA lecture: Challenges in Multivalued Matrix Functions]]<br />
|Brualdi<br />
|-<br />
|Dec 13 <br />
|Chenxi Wu (Rutgers)<br />
|[[#Chenxi Wu (Rutgers)|Kazhdan's theorem on metric graphs]]<br />
|Ellenberg<br />
|-<br />
|Dec 18 '''Wednesday 4-5pm'''<br />
|Ruobing Zhang (Stony Brook)<br />
|[[#Ruobing Zhang (Stony Brook)|Geometry and analysis of degenerating Calabi-Yau manifolds]]<br />
|Paul<br />
|-<br />
|}<br />
<br />
==Spring 2020==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|<br />
|-<br />
|Jan 10<br />
|Thomas Lam (Michigan) <br />
|[[#Thomas Lam (Michigan) |Positive geometries and string theory amplitudes]]<br />
|Erman<br />
|-<br />
|Jan 21 '''Tuesday 4-5 pm in B139'''<br />
|[http://www.nd.edu/~cholak/ Peter Cholak] (Notre Dame) <br />
|[[#Peter Cholak (Notre Dame) |What can we compute from solutions to combinatorial problems?]]<br />
|Lempp<br />
|-<br />
|Jan 24<br />
|[https://math.duke.edu/people/saulo-orizaga Saulo Orizaga] (Duke)<br />
|[[#Saulo Orizaga (Duke) | Introduction to phase field models and their efficient numerical implementation ]]<br />
|<br />
|-<br />
|Jan 27 '''Monday 4-5 pm in 911'''<br />
|[https://math.yale.edu/people/caglar-uyanik Caglar Uyanik] (Yale)<br />
|[[#Caglar Uyanik (Yale) | Hausdorff dimension and gap distribution in billiards ]]<br />
|Ellenberg<br />
|-<br />
|Jan 29 '''Wednesday 4-5 pm'''<br />
|[https://ajzucker.wordpress.com/ Andy Zucker] (Lyon)<br />
|[[#Andy Zucker (Lyon) |Topological dynamics of countable groups and structures]]<br />
|Soskova/Lempp<br />
|-<br />
|Jan 31 <br />
|[https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke)<br />
|[[#Lillian Pierce (Duke) |On Bourgain’s counterexample for the Schrödinger maximal function]]<br />
|Marshall/Seeger<br />
|-<br />
|Feb 7<br />
|[https://web.math.princeton.edu/~jkileel/ Joe Kileel] (Princeton)<br />
|[[#Joe Kileel (Princeton) |Inverse Problems, Imaging and Tensor Decomposition]]<br />
|Roch<br />
|-<br />
|Feb 10<br />
|[https://clvinzan.math.ncsu.edu/ Cynthia Vinzant] (NCSU)<br />
|[[#Cynthia Vinzant (NCSU) |Matroids, log-concavity, and expanders]]<br />
|Roch/Erman<br />
|-<br />
|Feb 12 '''Wednesday 4-5 pm in VV 911'''<br />
|[https://www.machuang.org/ Jinzi Mac Huang] (UCSD)<br />
|[[#Jinzi Mac Huang (UCSD) |Mass transfer through fluid-structure interactions]]<br />
|Spagnolie<br />
|-<br />
|Feb 14<br />
|[https://math.unt.edu/people/william-chan/ William Chan] (University of North Texas)<br />
|[[#William Chan (University of North Texas) |Definable infinitary combinatorics under determinacy]]<br />
|Soskova/Lempp<br />
|-<br />
|Feb 17<br />
|[https://yisun.io/ Yi Sun] (Columbia)<br />
|[[#Yi Sun (Columbia) |TBA]]<br />
|Roch<br />
|-<br />
|Feb 21<br />
|Shai Evra (IAS)<br />
|<br />
|Gurevich<br />
|<br />
|-<br />
|Feb 28<br />
|Brett Wick (Washington University, St. Louis)<br />
|<br />
|Seeger<br />
|-<br />
|March 6<br />
| Jessica Fintzen (Michigan)<br />
|<br />
|Marshall<br />
|-<br />
|March 13<br />
|<br />
|-<br />
|March 20<br />
|Spring break<br />
|<br />
|-<br />
|March 27<br />
|[https://max.lieblich.us/ Max Lieblich] (Univ. of Washington, Seattle)<br />
|<br />
|Boggess, Sankar<br />
|-<br />
|April 3<br />
|Caroline Turnage-Butterbaugh (Carleton College)<br />
|<br />
|Marshall<br />
|-<br />
|April 10<br />
| Sarah Koch (Michigan)<br />
|<br />
| Bruce (WIMAW)<br />
|-<br />
|April 17<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|Martin Hairer (Imperial College London)<br />
|Wolfgang Wasow Lecture<br />
|Hao Shen<br />
|-<br />
|April 24<br />
|Natasa Sesum (Rutgers University)<br />
|<br />
|Angenent<br />
|-<br />
|May 1<br />
|Robert Lazarsfeld (Stony Brook)<br />
|Distinguished lecture<br />
|Erman<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
<br />
===Will Sawin (Columbia)===<br />
<br />
Title: On Chowla's Conjecture over F_q[T]<br />
<br />
Abstract: The Mobius function in number theory is a sequences of 1s, <br />
-1s, and 0s, which is simple to define and closely related to the <br />
prime numbers. Its behavior seems highly random. Chowla's conjecture <br />
is one precise formalization of this randomness, and has seen recent <br />
work by Matomaki, Radziwill, Tao, and Teravainen making progress on <br />
it. In joint work with Mark Shusterman, we modify this conjecture by <br />
replacing the natural numbers parameterizing this sequence with <br />
polynomials over a finite field. Under mild conditions on the finite <br />
field, we are able to prove a strong form of this conjecture. The <br />
proof is based on taking a geometric perspective on the problem, and <br />
succeeds because we are able to simplify the geometry using a trick <br />
based on the strange properties of polynomial derivatives over finite <br />
fields.<br />
<br />
<br />
===Yan Soibelman (Kansas State)===<br />
<br />
Title: Riemann-Hilbert correspondence and Fukaya categories<br />
<br />
Abstract: In this talk I am going to discuss the role of Fukaya categories in the Riemann-Hilbert correspondence<br />
for differential, q-difference and elliptic difference equations in dimension one.<br />
This approach not only gives a unified answer for several versions of the Riemann-Hilbert correspondence but also leads to a natural formulation<br />
of the non-abelian Hodge theory in dimension one. It also explains why periodic monopoles<br />
should appear as harmonic objects in this generalized non-abelian Hodge theory.<br />
All that is a part of the bigger project ``Holomorphic Floer theory",<br />
joint with Maxim Kontsevich.<br />
<br />
<br />
===Alicia Dickenstein (Buenos Aires)===<br />
<br />
Title: Algebra and geometry in the study of enzymatic cascades<br />
<br />
Abstract: In recent years, techniques from computational and real algebraic geometry have been successfully used to address mathematical challenges in systems biology. The algebraic theory of chemical reaction systems aims to understand their dynamic behavior by taking advantage of the inherent algebraic structure in the kinetic equations, and does not need the determination of the parameters a priori, which can be theoretically or practically impossible.<br />
I will give a gentle introduction to general results based on the network structure. In particular, I will describe a general framework for biological systems, called MESSI systems, that describe Modifications of type Enzyme-Substrate or Swap with Intermediates, and include many networks that model post-translational modifications of proteins inside the cell. I will also outline recent methods to address the important question of multistationarity, in particular in the study of enzymatic cascades, and will point out some of the mathematical challenges that arise from this application.<br />
<br />
<br />
=== Jianfeng Lu (Duke) ===<br />
Title: How to ``localize" the computation?<br />
<br />
It is often desirable to restrict the numerical computation to a local region to achieve best balance between accuracy and affordability in scientific computing. It is important to avoid artifacts and guarantee predictable modelling while artificial boundary conditions have to be introduced to restrict the computation. In this talk, we will discuss some recent understanding on how to achieve such local computation in the context of topological edge states and elliptic random media.<br />
<br />
<br />
===Eugenia Cheng (School of the Art Institute of Chicago)===<br />
<br />
Title: Character vs gender in mathematics and beyond<br />
<br />
Abstract: This presentation will be based on my experience of being a female mathematician, and teaching mathematics at all levels from elementary school to grad school. The question of why women are under-represented in mathematics is complex and there are no simple answers, only many many contributing factors. I will focus on character traits, and argue that if we focus on this rather than gender we can have a more productive and less divisive conversation. To try and focus on characters rather than genders I will introduce gender-neutral character adjectives "ingressive" and "congressive" to replace masculine and feminine. I will share my experience of teaching congressive abstract mathematics to art students, in a congressive way, and the possible effects this could have for everyone in mathematics, not just women.<br />
<br />
<br />
===Omer Mermelstein (Madison)===<br />
<br />
Title: Generic flat pregeometries<br />
<br />
Abstract: In model theory, the tamest of structures are the strongly minimal ones -- those in which every equation in a single variable has either finitely many or cofinitely many solution. Algebraically closed fields and vector spaces are the canonical examples. Zilber’s conjecture, later refuted by Hrushovski, states that the source of geometric complexity in a strongly minimal structure must be algebraic. The property of "flatness" (strict gammoid) of a geometry (matroid) is that which guarantees Hrushovski's construction is devoid of any associative structure.<br />
The majority of the talk will explain what flatness is, how it should be thought of, and how closely it relates to hypergraphs and Hrushovski's construction method. Model theory makes an appearance only in the second part, where I will share results pertaining to the specific family of geometries arising from Hrushovski's methods.<br />
<br />
<br />
===Shamgar Gurevich (Madison)===<br />
<br />
Title: Harmonic Analysis on GL(n) over Finite Fields.<br />
<br />
Abstract: There are many formulas that express interesting properties of a finite group G in terms of sums over its characters. For evaluating or estimating these sums, one of the most salient quantities to understand is the character ratio:<br />
<br />
trace(ρ(g)) / dim(ρ),<br />
<br />
for an irreducible representation ρ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of the mentioned type for analyzing certain random walks on G.<br />
<br />
Recently, we discovered that for classical groups G over finite fields there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant rank. <br />
<br />
This talk will discuss the notion of rank for the group GLn over finite fields, demonstrate how it controls the character ratio, and explain how one can apply the results to verify mixing time and rate for certain random walks.<br />
<br />
This is joint work with Roger Howe (Yale and Texas AM). The numerics for this work was carried by Steve Goldstein (Madison)<br />
<br />
<br />
===Jose Rodriguez (UW-Madison)===<br />
<br />
Abstract: Determining the closest point to a model (subset of Euclidean space) is an important problem in many applications in science,<br />
engineering, and statistics. One way to solve this problem is by minimizing the squared Euclidean distance function using a gradient<br />
descent approach. However, when there are multiple local minima, there is no guarantee of convergence to the true global minimizer.<br />
An alternative method is to determine the critical points of an objective function on the model.<br />
In algebraic statistics, the models of interest are algebraic sets, i.e., solution sets to a system of multivariate polynomial equations. In this situation, the number of critical points of the squared Euclidean distance function on the model’s Zariski closure is a topological invariant called the Euclidean distance degree (ED degree).<br />
In this talk, I will present some models from computer vision and statistics that may be described as algebraic sets. Moreover,<br />
I will describe a topological method for determining a Euclidean distance degree and a numerical algebraic geometry approach for<br />
determining critical points of the squared Euclidean distance function.<br />
<br />
<br />
===Ananth Shankar (MIT)===<br />
<br />
Abstract: An abelian surface 'splits' if it admits a non-trivial map to some elliptic curve. It is well known that the set of abelian surfaces that split are sparse in the set of all abelian surfaces. Nevertheless, we prove that there are infinitely many split abelian surfaces in arithmetic one-parameter families of generically non-split abelian surfaces. I will describe this work, and if time permits, mention generalizations of this result to the setting of K3 surfaces, as well as applications to the dynamics of hecke orbits. This is joint work with Tang, Maulik-Tang, and Shankar-Tang-Tayou.<br />
<br />
<br />
===Franca Hoffman (Caltech)===<br />
<br />
Title: Gradient Flows: From PDE to Data Analysis.<br />
<br />
Abstract: Certain diffusive PDEs can be viewed as infinite-dimensional gradient flows. This fact has led to the development of new tools in various areas of mathematics ranging from PDE theory to data science. In this talk, we focus on two different directions: model-driven approaches and data-driven approaches.<br />
In the first part of the talk we use gradient flows for analyzing non-linear and non-local aggregation-diffusion equations when the corresponding energy functionals are not necessarily convex. Moreover, the gradient flow structure enables us to make connections to well-known functional inequalities, revealing possible links between the optimizers of these inequalities and the equilibria of certain aggregation-diffusion PDEs.<br />
In the second part, we use and develop gradient flow theory to design novel tools for data analysis. We draw a connection between gradient flows and Ensemble Kalman methods for parameter estimation. We introduce the Ensemble Kalman Sampler - a derivative-free methodology for model calibration and uncertainty quantification in expensive black-box models. The interacting particle dynamics underlying our algorithm can be approximated by a novel gradient flow structure in a modified Wasserstein metric which reflects particle correlations. The geometry of this modified Wasserstein metric is of independent theoretical interest.<br />
<br />
<br />
=== Jeffrey Danciger (UT Austin) ===<br />
<br />
Title: Affine geometry and the Auslander Conjecture<br />
<br />
Abstract: The Auslander Conjecture is an analogue of Bieberbach’s theory of Euclidean crystallographic groups in the setting of affine geometry. It predicts that a complete affine manifold (a manifold equipped with a complete torsion-free flat affine connection) which is compact must have virtually solvable fundamental group. The conjecture is known up to dimension six, but is known to fail if the compactness assumption is removed, even in low dimensions. We discuss some history of this conjecture, give some basic examples, and then survey some recent advances in the study of non-compact complete affine manifolds with non-solvable fundamental group. <br />
Tools from the deformation theory of pseudo-Riemannian hyperbolic manifolds and also from higher Teichm&uuml;ller theory will enter the picture.<br />
<br />
<br />
=== Tatyana Shcherbina (Princeton) ===<br />
<br />
Title: Random matrix theory and supersymmetry techniques<br />
<br />
Abstract: Starting from the works of Erdos, Yau, Schlein with coauthors, the significant progress in understanding the universal behavior of many random graph and random matrix models were achieved. However for the random matrices with a special structure our understanding is still very limited. In this talk I am going to overview applications of another approach to the study of the local eigenvalues statistics in random matrix theory based on so-called supersymmetry techniques (SUSY). SUSY approach is based on the representation of the determinant as an integral over the Grassmann (anticommuting) variables. Combining this representation with the representation of an inverse determinant as an integral over the Gaussian complex field, SUSY allows to obtain an integral representation for the main spectral characteristics of random matrices such as limiting density, correlation functions, the resolvent's elements, etc. This method is widely (and successfully) used in the physics literature and is potentially very powerful but the rigorous control of the integral representations, which can be obtained by this method, is quite difficult, and it requires powerful analytic and statistical mechanics tools. In this talk we will discuss some recent progress in application of SUSY to the analysis of local spectral characteristics of the prominent ensemble of random band matrices, i.e. random matrices<br />
whose entries become negligible if their distance from the main diagonal exceeds a certain parameter called the band width. <br />
<br />
<br />
=== Tingran Gao (University of Chicago) ===<br />
<br />
Title: Manifold Learning on Fibre Bundles<br />
<br />
Abstract: Spectral geometry has played an important role in modern geometric data analysis, where the technique is widely known as Laplacian eigenmaps or diffusion maps. In this talk, we present a geometric framework that studies graph representations of complex datasets, where each edge of the graph is equipped with a non-scalar transformation or correspondence. This new framework models such a dataset as a fibre bundle with a connection, and interprets the collection of pairwise functional relations as defining a horizontal diffusion process on the bundle driven by its projection on the base. The eigenstates of this horizontal diffusion process encode the “consistency” among objects in the dataset, and provide a lens through which the geometry of the dataset can be revealed. We demonstrate an application of this geometric framework on evolutionary anthropology.<br />
<br />
<br />
=== Andrew Zimmer (LSU) ===<br />
<br />
Title: Intrinsic and extrinsic geometries in several complex variables<br />
<br />
Abstract: A bounded domain in complex Euclidean space, despite being one of the simplest types of manifolds, has a number of interesting geometric structures. When the domain is pseudoconvex, it has a natural intrinsic geometry: the complete Kaehler-Einstein metric constructed by Cheng-Yau and Mok-Yau. When the domain is smoothly bounded, there is also a natural extrinsic structure: the CR-geometry of the boundary. In this talk, I will describe connections between these intrinsic and extrinsic geometries. Then, I will discuss how these connections can lead to new analytic results.<br />
<br />
=== Charlotte Chan (MIT) ===<br />
<br />
Title: Flag varieties and representations of p-adic groups<br />
<br />
Abstract: In the 1950s, Borel, Weil, and Bott showed that the<br />
irreducible representations of a complex reductive group can be<br />
realized in the cohomology of line bundles on flag varieties. In the<br />
1970s, Deligne and Lusztig constructed a family of subvarieties of<br />
flag varieties whose cohomology realizes the irreducible<br />
representations of reductive groups over finite fields. I will survey<br />
these stories, explain recent progress towards finding geometric<br />
constructions of representations of p-adic groups, and discuss<br />
interactions with the Langlands program.<br />
<br />
=== Hui Yu (Columbia) ===<br />
<br />
Title: Singular sets in obstacle problems<br />
<br />
Abstract: One of the most important free boundary problems is the obstacle problem. The regularity of its free boundary has been studied for over half a century. In this talk, we review some classical results as well as exciting new developments. In particular, we discuss the recent resolution of the regularity of the singular set for the fully nonlinear obstacle problem. This talk is based on a joint work with Ovidiu Savin at Columbia University.<br />
<br />
=== Alex Waldron (Michigan) ===<br />
<br />
Title: Gauge theory and geometric flows<br />
<br />
Abstract: I will give a brief introduction to two major areas of research in differential geometry: gauge theory and geometric flows. I'll then introduce a geometric flow (Yang-Mills flow) arising from a variational problem with origins in physics, which has been studied by geometric analysts since the early 1980s. I'll conclude by discussing my own work on the behavior of Yang-Mills flow in the critical dimension (n = 4).<br />
<br />
=== Nick Higham (Manchester) ===<br />
<br />
Title: Challenges in Multivalued Matrix Functions<br />
<br />
Abstract: In this lecture I will discuss multivalued matrix functions that arise in solving various kinds of matrix equations. The matrix logarithm is the prototypical example, and my first interaction with Hans Schneider was about this function. Another example is the Lambert W function of a matrix, which is much less well known but has been attracting recent interest. A theme of the talk is the importance of choosing appropriate principal values and making sure that the correct choices of signs and branches are used,<br />
both in theory and in computation. I will give examples where incorrect results have previously been obtained.<br />
<br />
I focus on matrix inverse trigonometric and inverse hyperbolic functions, beginning by investigating existence and characterization. Turning to the principal values, various functional identities are derived, some of which are new even in the scalar case, including a “round trip” formula that relates acos(cos A) to A and similar formulas for the other inverse functions. Key tools used in the derivations are the matrix unwinding function and the matrix sign function.<br />
<br />
A new inverse scaling and squaring type algorithm employing a Schur decomposition and variable-degree Pade approximation is derived for computing acos, and it is shown how it can also be used to compute asin, acosh, and asinh.<br />
<br />
=== Chenxi Wu (Rutgers) ===<br />
<br />
Title: Kazhdan's theorem on metric graphs<br />
<br />
Abstract: I will give an introduction to the concept of canonical (arakelov) metric on a metric graph, which is related to combinatorial questions like the counting of spanning trees, and generalizes the corresponding concept on Riemann surfaces. I will also present a recent result in collaboration with Farbod Shokrieh on the convergence of canonical metric under normal covers.<br />
<br />
=== Ruobing Zhang (Stony Brook) ===<br />
<br />
Title: Geometry and analysis of degenerating Calabi-Yau manifolds<br />
<br />
Abstract: This talk concerns a naturally occurring family of degenerating Calabi-Yau manifolds. A primary tool in analyzing their behavior is to combine the recently developed structure theory for Einstein manifolds and multi-scale singularity analysis for degenerating nonlinear PDEs in the collapsed setting. Based on the algebraic degeneration, we will give precise and more quantitative descriptions of singularity formation from both metric and analytic points of view.<br />
<br />
=== Thomas Lam (Michigan) === <br />
<br />
Title: Positive geometries and string theory amplitudes<br />
<br />
Abstract: Inspired by developments in quantum field theory, we<br />
recently defined the notion of a positive geometry, a class of spaces<br />
that includes convex polytopes, positive parts of projective toric<br />
varieties, and positive parts of flag varieties. I will discuss some<br />
basic features of the theory and an application to genus zero string<br />
theory amplitudes. As a special case, we obtain the Euler beta<br />
function, familiar to mathematicians, as the "stringy canonical form"<br />
of the closed interval.<br />
<br />
This talk is based on joint work with Arkani-Hamed, Bai, and He.<br />
<br />
=== Peter Cholak (Notre Dame) ===<br />
<br />
Title: What can we compute from solutions to combinatorial problems?<br />
<br />
Abstract: This will be an introductory talk to an exciting current <br />
research area in mathematical logic. Mostly we are interested in <br />
solutions to Ramsey's Theorem. Ramsey's Theorem says for colorings <br />
C of pairs of natural numbers, there is an infinite set H such that <br />
all pairs from H have the same constant color. H is called a homogeneous <br />
set for C. What can we compute from H? If you are not sure, come to <br />
the talk and find out!<br />
<br />
=== Saulo Orizaga (Duke) ===<br />
<br />
Title: Introduction to phase field models and their efficient numerical implementation<br />
<br />
Abstract: In this talk we will provide an introduction to phase field models. We will focus in models<br />
related to the Cahn-Hilliard (CH) type of partial differential equation (PDE). We will discuss the<br />
challenges associated in solving such higher order parabolic problems. We will present several<br />
new numerical methods that are fast and efficient for solving CH or CH-extended type of problems.<br />
The new methods and their energy-stability properties will be discussed and tested with several computational examples commonly found in material science problems. If time allows, we will talk about more applications in which phase field models are useful and applicable.<br />
<br />
=== Caglar Uyanik (Yale) ===<br />
<br />
Title: Hausdorff dimension and gap distribution in billiards<br />
<br />
Abstract: A classical “unfolding” procedure allows one to turn questions about billiard trajectories in a Euclidean polygon into questions about the geodesic flow on a surface equipped with a certain geometric structure. Surprisingly, the flow on the surface is in turn related to the geodesic flow on the classical moduli spaces of Riemann surfaces. Building on recent breakthrough results of Eskin-Mirzakhani-Mohammadi, we prove a large deviations result for Birkhoff averages as well as generalize a classical theorem of Masur on geodesics in the moduli spaces of translation surfaces. <br />
<br />
=== Andy Zucker (Lyon) ===<br />
<br />
Title: Topological dynamics of countable groups and structures<br />
<br />
Abstract: We give an introduction to the abstract topological dynamics <br />
of topological groups, i.e. the study of the continuous actions of a <br />
topological group on a compact space. We are particularly interested <br />
in the minimal actions, those for which every orbit is dense. <br />
The study of minimal actions is aided by a classical theorem of Ellis, <br />
who proved that for any topological group G, there exists a universal <br />
minimal flow (UMF), a minimal G-action which factors onto every other <br />
minimal G-action. Here, we will focus on two classes of groups: <br />
a countable discrete group and the automorphism group of a countable <br />
first-order structure. In the case of a countable discrete group, <br />
Baire category methods can be used to show that the collection of <br />
minimal flows is quite rich and that the UMF is rather complicated. <br />
For an automorphism group G of a countable structure, combinatorial <br />
methods can be used to show that sometimes, the UMF is trivial, or <br />
equivalently that every continuous action of G on a compact space <br />
admits a global fixed point.<br />
<br />
=== Lillian Pierce (Duke) ===<br />
<br />
Title: On Bourgain’s counterexample for the Schrödinger maximal function<br />
<br />
Abstract: In 1980, Carleson asked a question in harmonic analysis: to which Sobolev space $H^s$ must an initial data function belong, for a pointwise a.e. convergence result to hold for the solution to the associated linear Schrödinger equation? Over the next decades, many people developed counterexamples to push the (necessary) range of s up, and positive results to push the (sufficient) range of s down. Now, these ranges are finally meeting: Bourgain’s 2016 counterexample showed s < n/(2(n+1)) fails, and Du and Zhang’s 2019 paper shows that s>n/(2(n+1)) suffices. <br />
In this talk, we will give an overview of how to rigorously derive Bourgain’s 2016 counterexample, based on simple facts from number theory. We will show how to build Bourgain’s counterexample starting from “zero knowledge," and how to gradually optimize the set-up to arrive at the final counterexample. The talk will be broadly accessible, particularly if we live up to the claim of starting from “zero knowledge.”<br />
<br />
=== Joe Kileel (Princeton) ===<br />
<br />
Title: Inverse Problems, Imaging and Tensor Decomposition<br />
<br />
Abstract: Perspectives from computational algebra and optimization are brought <br />
to bear on a scientific application and a data science application. <br />
In the first part of the talk, I will discuss cryo-electron microscopy <br />
(cryo-EM), an imaging technique to determine the 3-D shape of <br />
macromolecules from many noisy 2-D projections, recognized by the 2017 <br />
Chemistry Nobel Prize. Mathematically, cryo-EM presents a <br />
particularly rich inverse problem, with unknown orientations, extreme <br />
noise, big data and conformational heterogeneity. In particular, this <br />
motivates a general framework for statistical estimation under compact <br />
group actions, connecting information theory and group invariant <br />
theory. In the second part of the talk, I will discuss tensor rank <br />
decomposition, a higher-order variant of PCA broadly applicable in <br />
data science. A fast algorithm is introduced and analyzed, combining <br />
ideas of Sylvester and the power method.<br />
<br />
=== Cynthia Vinzant (NCSU) ===<br />
<br />
Title: Matroids, log-concavity, and expanders<br />
<br />
Abstract: Matroids are combinatorial objects that model various types of independence. They appear several fields mathematics, including graph theory, combinatorial optimization, and algebraic geometry. In this talk, I will introduce the theory of matroids along with the closely related class of polynomials called strongly log-concave polynomials. Strong log-concavity is a functional property of a real multivariate polynomial that translates to useful conditions on its coefficients. Discrete probability distributions defined by these coefficients inherit several of these nice properties. I will discuss the beautiful real and combinatorial geometry underlying these polynomials and describe applications to random walks on the faces of simplicial complexes. Consequences include proofs of Mason's conjecture that the sequence of numbers of independent sets of a matroid is ultra log-concave and the Mihail-Vazirani conjecture that the basis exchange graph of a matroid has expansion at least one. This is based on joint work with Nima Anari, Kuikui Liu, and Shayan Oveis Gharan.<br />
<br />
=== Jinzi Mac Huang (UCSD) ===<br />
<br />
Title: Mass transfer through fluid-structure interactions<br />
<br />
Abstract: The advancement of mathematics is closely associated with new discoveries from physical experiments. On one hand, mathematical tools like numerical simulation can help explain observations from experiments. On the other hand, experimental discoveries of physical phenomena, such as Brownian motion, can inspire the development of new mathematical approaches. In this talk, we focus on the interplay between applied math and experiments involving fluid-structure interactions -- a fascinating topic with both physical relevance and mathematical complexity. One such problem, inspired by geophysical fluid dynamics, is the experimental and numerical study of the dissolution of solid bodies in a fluid flow. The results of this study allow us to sketch mathematical answers to some long standing questions like the formation of stone forests in China and Madagascar, and how many licks it takes to get to the center of a Tootsie Pop. We will also talk about experimental math problems at the micro-scale, focusing on the mass transport process of diffusiophoresis, where colloidal particles are advected by a concentration gradient of salt solution. Exploiting this phenomenon, we see that colloids are able to navigate a micro-maze that has a salt concentration gradient across the exit and entry points. We further demonstrate that their ability to solve the maze is closely associated with the properties of a harmonic function – the salt concentration.<br />
<br />
=== William Chan (University of North Texas) ===<br />
<br />
Title: Definable infinitary combinatorics under determinacy<br />
<br />
Abstract: The axiom of determinacy, AD, states that in any infinite two player integer game of a certain form, one of the two players must have a winning strategy. It is incompatible with the ZFC set theory axioms with choice; however, it is a succinct extension of ZF which implies many subsets of the real line possess familiar regularity properties and eliminates many pathological sets. For instance, AD implies all sets of reals are Lebesgue measurable and every function from the reals to the reals is continuous on a comeager set. Determinacy also implies that the first uncountable cardinal has the strong partition property which can be used to define the partition measures. This talk will give an overview of the axiom of determinacy and will discuss recent results on the infinitary combinatorics surrounding the first uncountable cardinal and its partition measures. I will discuss the almost everywhere continuity phenomenon for functions outputting countable ordinals and the almost-everywhere uniformization results for closed and unbounded subsets of the first uncountable cardinal. These will be used to describe the rich structure of the cardinals below the powerset of the first and second uncountable cardinals under determinacy assumptions and to investigate the ultrapowers by these partition measures.<br />
<br />
== Future Colloquia ==<br />
[[Colloquia/Fall 2020| Fall 2020]]<br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Spring2019|Spring 2019]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Colloquia&diff=18953Colloquia2020-02-07T18:02:01Z<p>Spagnolie: /* Abstracts */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
<br />
<br />
==Fall 2019==<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 6 '''Room 911'''<br />
| Will Sawin (Columbia)<br />
| [[#Will Sawin (Columbia) | On Chowla's Conjecture over F_q[T] ]]<br />
| Marshall<br />
|-<br />
|Sept 13<br />
| [https://www.math.ksu.edu/~soibel/ Yan Soibelman] (Kansas State)<br />
|[[#Yan Soibelman (Kansas State)| Riemann-Hilbert correspondence and Fukaya categories ]]<br />
| Caldararu<br />
|<br />
|-<br />
|Sept 16 '''Monday Room 911'''<br />
| [http://mate.dm.uba.ar/~alidick/ Alicia Dickenstein] (Buenos Aires)<br />
|[[#Alicia Dickenstein (Buenos Aires)| Algebra and geometry in the study of enzymatic cascades ]]<br />
| Craciun<br />
|<br />
|-<br />
|Sept 20<br />
| [https://math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|[[#Jianfeng Lu (Duke) | How to "localize" the computation?]]<br />
| Qin<br />
|<br />
|-<br />
|Sept 26 '''Thursday 3-4 pm Room 911'''<br />
| [http://eugeniacheng.com/ Eugenia Cheng] (School of the Art Institute of Chicago)<br />
| [[#Eugenia Cheng (School of the Art Institute of Chicago)| Character vs gender in mathematics and beyond ]]<br />
| Marshall / Friends of UW Madison Libraries<br />
|<br />
|-<br />
|Sept 27<br />
|<br />
|<br />
|-<br />
|Oct 4<br />
|<br />
|<br />
|-<br />
|Oct 11<br />
| Omer Mermelstein (Madison)<br />
| [[#Omer Mermelstein (Madison)| Generic flat pregeometries ]]<br />
|Andrews<br />
|<br />
|-<br />
|Oct 18<br />
| Shamgar Gurevich (Madison)<br />
| [[#Shamgar Gurevich (Madison) | Harmonic Analysis on GL(n) over Finite Fields ]]<br />
| Marshall<br />
|-<br />
|Oct 25<br />
|<br />
|-<br />
|Nov 1<br />
|Elchanan Mossel (MIT)<br />
|Distinguished Lecture<br />
|Roch<br />
|-<br />
|Nov 8<br />
|Jose Rodriguez (UW-Madison)<br />
|[[#Jose Rodriguez (UW-Madison) | Nearest Point Problems and Euclidean Distance Degrees]]<br />
|Erman<br />
|-<br />
|Nov 13 '''Wednesday 4-5pm'''<br />
|Ananth Shankar (MIT)<br />
|Exceptional splitting of abelian surfaces<br />
|-<br />
|Nov 20 '''Wednesday 4-5pm'''<br />
|Franca Hoffman (Caltech)<br />
|[[#Franca Hoffman (Caltech) | Gradient Flows: From PDE to Data Analysis]]<br />
|Smith<br />
|-<br />
|Nov 22<br />
| Jeffrey Danciger (UT Austin)<br />
| [[#Jeffrey Danciger (UT Austin) | "Affine geometry and the Auslander Conjecture"]]<br />
| Kent<br />
|-<br />
|Nov 25 '''Monday 4-5 pm Room 911'''<br />
|Tatyana Shcherbina (Princeton)<br />
| [[# Tatyana Shcherbina (Princeton)| "Random matrix theory and supersymmetry techniques"]]<br />
|Roch<br />
|-<br />
|Nov 29<br />
|Thanksgiving<br />
|<br />
|-<br />
|Dec 2 '''Monday 4-5pm'''<br />
|Tingran Gao (University of Chicago)<br />
| [[#Tingran Gao (University of Chicago)| "Manifold Learning on Fibre Bundles"]]<br />
|Smith<br />
|-<br />
|Dec 4 '''Wednesday 4-5 pm Room 911'''<br />
|Andrew Zimmer (LSU)<br />
|[[#Andrew Zimmer (LSU)| "Intrinsic and extrinsic geometries in several complex variables"]]<br />
|Gong<br />
|-<br />
|Dec 6<br />
|Charlotte Chan (MIT)<br />
|[[#Charlotte Chan (MIT)|"Flag varieties and representations of p-adic groups"]]<br />
|Erman<br />
|-<br />
|Dec 9 '''Monday 4-5 pm'''<br />
|Hui Yu (Columbia)<br />
|[[#Hui Yu (Columbia)|Singular sets in obstacle problems]]<br />
|Tran<br />
|-<br />
|Dec 11 '''Wednesday 2:30-3:30pm Room 911'''<br />
|Alex Waldron (Michigan)<br />
|[[#Alex Waldron (Michigan)|Gauge theory and geometric flows]]<br />
|Paul<br />
|-<br />
|Dec 11 '''Wednesday 4-5pm'''<br />
|Nick Higham (Manchester)<br />
|[[#Nick Higham (Manchester)|LAA lecture: Challenges in Multivalued Matrix Functions]]<br />
|Brualdi<br />
|-<br />
|Dec 13 <br />
|Chenxi Wu (Rutgers)<br />
|[[#Chenxi Wu (Rutgers)|Kazhdan's theorem on metric graphs]]<br />
|Ellenberg<br />
|-<br />
|Dec 18 '''Wednesday 4-5pm'''<br />
|Ruobing Zhang (Stony Brook)<br />
|[[#Ruobing Zhang (Stony Brook)|Geometry and analysis of degenerating Calabi-Yau manifolds]]<br />
|Paul<br />
|-<br />
|}<br />
<br />
==Spring 2020==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|<br />
|-<br />
|Jan 10<br />
|Thomas Lam (Michigan) <br />
|[[#Thomas Lam (Michigan) |Positive geometries and string theory amplitudes]]<br />
|Erman<br />
|-<br />
|Jan 21 '''Tuesday 4-5 pm in B139'''<br />
|[http://www.nd.edu/~cholak/ Peter Cholak] (Notre Dame) <br />
|[[#Peter Cholak (Notre Dame) |What can we compute from solutions to combinatorial problems?]]<br />
|Lempp<br />
|-<br />
|Jan 24<br />
|[https://math.duke.edu/people/saulo-orizaga Saulo Orizaga] (Duke)<br />
|[[#Saulo Orizaga (Duke) | Introduction to phase field models and their efficient numerical implementation ]]<br />
|<br />
|-<br />
|Jan 27 '''Monday 4-5 pm in 911'''<br />
|[https://math.yale.edu/people/caglar-uyanik Caglar Uyanik] (Yale)<br />
|[[#Caglar Uyanik (Yale) | Hausdorff dimension and gap distribution in billiards ]]<br />
|Ellenberg<br />
|-<br />
|Jan 29 '''Wednesday 4-5 pm'''<br />
|[https://ajzucker.wordpress.com/ Andy Zucker] (Lyon)<br />
|[[#Andy Zucker (Lyon) |Topological dynamics of countable groups and structures]]<br />
|Soskova/Lempp<br />
|-<br />
|Jan 31 <br />
|[https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke)<br />
|[[#Lillian Pierce (Duke) |On Bourgain’s counterexample for the Schrödinger maximal function]]<br />
|Marshall/Seeger<br />
|-<br />
|Feb 7<br />
|[https://web.math.princeton.edu/~jkileel/ Joe Kileel] (Princeton)<br />
|[[#Joe Kileel (Princeton) |Inverse Problems, Imaging and Tensor Decomposition]]<br />
|Roch<br />
|-<br />
|Feb 10<br />
|[https://clvinzan.math.ncsu.edu/ Cynthia Vinzant] (NCSU)<br />
|[[#Cynthia Vinzant (NCSU) |Matroids, log-concavity, and expanders]]<br />
|Roch/Erman<br />
|-<br />
|Feb 12 '''Wednesday 4-5 pm in VV 911'''<br />
|[https://www.machuang.org/ Jinzi Mac Huang] (UCSD)<br />
|[[#Jinzi Mac Huang (UCSD) |Mass transfer through fluid-structure interactions]]<br />
|Spagnolie<br />
|-<br />
|Feb 14<br />
|[https://math.unt.edu/people/william-chan/ William Chan] (University of North Texas)<br />
|[[#William Chan (University of North Texas) |Definable infinitary combinatorics under determinacy]]<br />
|Soskova/Lempp<br />
|-<br />
|Feb 17<br />
|[https://yisun.io/ Yi Sun] (Columbia)<br />
|[[#Yi Sun (Columbia) |TBA]]<br />
|Roch<br />
|-<br />
|Feb 21<br />
|Shai Evra (IAS)<br />
|<br />
|Gurevich<br />
|<br />
|-<br />
|Feb 28<br />
|Brett Wick (Washington University, St. Louis)<br />
|<br />
|Seeger<br />
|-<br />
|March 6<br />
| Jessica Fintzen (Michigan)<br />
|<br />
|Marshall<br />
|-<br />
|March 13<br />
|<br />
|-<br />
|March 20<br />
|Spring break<br />
|<br />
|-<br />
|March 27<br />
|(Moduli Spaces Conference)<br />
|<br />
|Boggess, Sankar<br />
|-<br />
|April 3<br />
|Caroline Turnage-Butterbaugh (Carleton College)<br />
|<br />
|Marshall<br />
|-<br />
|April 10<br />
| Sarah Koch (Michigan)<br />
|<br />
| Bruce (WIMAW)<br />
|-<br />
|April 17<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|Martin Hairer (Imperial College London)<br />
|Wolfgang Wasow Lecture<br />
|Hao Shen<br />
|-<br />
|April 24<br />
|Natasa Sesum (Rutgers University)<br />
|<br />
|Angenent<br />
|-<br />
|May 1<br />
|Robert Lazarsfeld (Stony Brook)<br />
|Distinguished lecture<br />
|Erman<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
<br />
===Will Sawin (Columbia)===<br />
<br />
Title: On Chowla's Conjecture over F_q[T]<br />
<br />
Abstract: The Mobius function in number theory is a sequences of 1s, <br />
-1s, and 0s, which is simple to define and closely related to the <br />
prime numbers. Its behavior seems highly random. Chowla's conjecture <br />
is one precise formalization of this randomness, and has seen recent <br />
work by Matomaki, Radziwill, Tao, and Teravainen making progress on <br />
it. In joint work with Mark Shusterman, we modify this conjecture by <br />
replacing the natural numbers parameterizing this sequence with <br />
polynomials over a finite field. Under mild conditions on the finite <br />
field, we are able to prove a strong form of this conjecture. The <br />
proof is based on taking a geometric perspective on the problem, and <br />
succeeds because we are able to simplify the geometry using a trick <br />
based on the strange properties of polynomial derivatives over finite <br />
fields.<br />
<br />
<br />
===Yan Soibelman (Kansas State)===<br />
<br />
Title: Riemann-Hilbert correspondence and Fukaya categories<br />
<br />
Abstract: In this talk I am going to discuss the role of Fukaya categories in the Riemann-Hilbert correspondence<br />
for differential, q-difference and elliptic difference equations in dimension one.<br />
This approach not only gives a unified answer for several versions of the Riemann-Hilbert correspondence but also leads to a natural formulation<br />
of the non-abelian Hodge theory in dimension one. It also explains why periodic monopoles<br />
should appear as harmonic objects in this generalized non-abelian Hodge theory.<br />
All that is a part of the bigger project ``Holomorphic Floer theory",<br />
joint with Maxim Kontsevich.<br />
<br />
<br />
===Alicia Dickenstein (Buenos Aires)===<br />
<br />
Title: Algebra and geometry in the study of enzymatic cascades<br />
<br />
Abstract: In recent years, techniques from computational and real algebraic geometry have been successfully used to address mathematical challenges in systems biology. The algebraic theory of chemical reaction systems aims to understand their dynamic behavior by taking advantage of the inherent algebraic structure in the kinetic equations, and does not need the determination of the parameters a priori, which can be theoretically or practically impossible.<br />
I will give a gentle introduction to general results based on the network structure. In particular, I will describe a general framework for biological systems, called MESSI systems, that describe Modifications of type Enzyme-Substrate or Swap with Intermediates, and include many networks that model post-translational modifications of proteins inside the cell. I will also outline recent methods to address the important question of multistationarity, in particular in the study of enzymatic cascades, and will point out some of the mathematical challenges that arise from this application.<br />
<br />
<br />
=== Jianfeng Lu (Duke) ===<br />
Title: How to ``localize" the computation?<br />
<br />
It is often desirable to restrict the numerical computation to a local region to achieve best balance between accuracy and affordability in scientific computing. It is important to avoid artifacts and guarantee predictable modelling while artificial boundary conditions have to be introduced to restrict the computation. In this talk, we will discuss some recent understanding on how to achieve such local computation in the context of topological edge states and elliptic random media.<br />
<br />
<br />
===Eugenia Cheng (School of the Art Institute of Chicago)===<br />
<br />
Title: Character vs gender in mathematics and beyond<br />
<br />
Abstract: This presentation will be based on my experience of being a female mathematician, and teaching mathematics at all levels from elementary school to grad school. The question of why women are under-represented in mathematics is complex and there are no simple answers, only many many contributing factors. I will focus on character traits, and argue that if we focus on this rather than gender we can have a more productive and less divisive conversation. To try and focus on characters rather than genders I will introduce gender-neutral character adjectives "ingressive" and "congressive" to replace masculine and feminine. I will share my experience of teaching congressive abstract mathematics to art students, in a congressive way, and the possible effects this could have for everyone in mathematics, not just women.<br />
<br />
<br />
===Omer Mermelstein (Madison)===<br />
<br />
Title: Generic flat pregeometries<br />
<br />
Abstract: In model theory, the tamest of structures are the strongly minimal ones -- those in which every equation in a single variable has either finitely many or cofinitely many solution. Algebraically closed fields and vector spaces are the canonical examples. Zilber’s conjecture, later refuted by Hrushovski, states that the source of geometric complexity in a strongly minimal structure must be algebraic. The property of "flatness" (strict gammoid) of a geometry (matroid) is that which guarantees Hrushovski's construction is devoid of any associative structure.<br />
The majority of the talk will explain what flatness is, how it should be thought of, and how closely it relates to hypergraphs and Hrushovski's construction method. Model theory makes an appearance only in the second part, where I will share results pertaining to the specific family of geometries arising from Hrushovski's methods.<br />
<br />
<br />
===Shamgar Gurevich (Madison)===<br />
<br />
Title: Harmonic Analysis on GL(n) over Finite Fields.<br />
<br />
Abstract: There are many formulas that express interesting properties of a finite group G in terms of sums over its characters. For evaluating or estimating these sums, one of the most salient quantities to understand is the character ratio:<br />
<br />
trace(ρ(g)) / dim(ρ),<br />
<br />
for an irreducible representation ρ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of the mentioned type for analyzing certain random walks on G.<br />
<br />
Recently, we discovered that for classical groups G over finite fields there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant rank. <br />
<br />
This talk will discuss the notion of rank for the group GLn over finite fields, demonstrate how it controls the character ratio, and explain how one can apply the results to verify mixing time and rate for certain random walks.<br />
<br />
This is joint work with Roger Howe (Yale and Texas AM). The numerics for this work was carried by Steve Goldstein (Madison)<br />
<br />
<br />
===Jose Rodriguez (UW-Madison)===<br />
<br />
Abstract: Determining the closest point to a model (subset of Euclidean space) is an important problem in many applications in science,<br />
engineering, and statistics. One way to solve this problem is by minimizing the squared Euclidean distance function using a gradient<br />
descent approach. However, when there are multiple local minima, there is no guarantee of convergence to the true global minimizer.<br />
An alternative method is to determine the critical points of an objective function on the model.<br />
In algebraic statistics, the models of interest are algebraic sets, i.e., solution sets to a system of multivariate polynomial equations. In this situation, the number of critical points of the squared Euclidean distance function on the model’s Zariski closure is a topological invariant called the Euclidean distance degree (ED degree).<br />
In this talk, I will present some models from computer vision and statistics that may be described as algebraic sets. Moreover,<br />
I will describe a topological method for determining a Euclidean distance degree and a numerical algebraic geometry approach for<br />
determining critical points of the squared Euclidean distance function.<br />
<br />
<br />
===Ananth Shankar (MIT)===<br />
<br />
Abstract: An abelian surface 'splits' if it admits a non-trivial map to some elliptic curve. It is well known that the set of abelian surfaces that split are sparse in the set of all abelian surfaces. Nevertheless, we prove that there are infinitely many split abelian surfaces in arithmetic one-parameter families of generically non-split abelian surfaces. I will describe this work, and if time permits, mention generalizations of this result to the setting of K3 surfaces, as well as applications to the dynamics of hecke orbits. This is joint work with Tang, Maulik-Tang, and Shankar-Tang-Tayou.<br />
<br />
<br />
===Franca Hoffman (Caltech)===<br />
<br />
Title: Gradient Flows: From PDE to Data Analysis.<br />
<br />
Abstract: Certain diffusive PDEs can be viewed as infinite-dimensional gradient flows. This fact has led to the development of new tools in various areas of mathematics ranging from PDE theory to data science. In this talk, we focus on two different directions: model-driven approaches and data-driven approaches.<br />
In the first part of the talk we use gradient flows for analyzing non-linear and non-local aggregation-diffusion equations when the corresponding energy functionals are not necessarily convex. Moreover, the gradient flow structure enables us to make connections to well-known functional inequalities, revealing possible links between the optimizers of these inequalities and the equilibria of certain aggregation-diffusion PDEs.<br />
In the second part, we use and develop gradient flow theory to design novel tools for data analysis. We draw a connection between gradient flows and Ensemble Kalman methods for parameter estimation. We introduce the Ensemble Kalman Sampler - a derivative-free methodology for model calibration and uncertainty quantification in expensive black-box models. The interacting particle dynamics underlying our algorithm can be approximated by a novel gradient flow structure in a modified Wasserstein metric which reflects particle correlations. The geometry of this modified Wasserstein metric is of independent theoretical interest.<br />
<br />
<br />
=== Jeffrey Danciger (UT Austin) ===<br />
<br />
Title: Affine geometry and the Auslander Conjecture<br />
<br />
Abstract: The Auslander Conjecture is an analogue of Bieberbach’s theory of Euclidean crystallographic groups in the setting of affine geometry. It predicts that a complete affine manifold (a manifold equipped with a complete torsion-free flat affine connection) which is compact must have virtually solvable fundamental group. The conjecture is known up to dimension six, but is known to fail if the compactness assumption is removed, even in low dimensions. We discuss some history of this conjecture, give some basic examples, and then survey some recent advances in the study of non-compact complete affine manifolds with non-solvable fundamental group. <br />
Tools from the deformation theory of pseudo-Riemannian hyperbolic manifolds and also from higher Teichm&uuml;ller theory will enter the picture.<br />
<br />
<br />
=== Tatyana Shcherbina (Princeton) ===<br />
<br />
Title: Random matrix theory and supersymmetry techniques<br />
<br />
Abstract: Starting from the works of Erdos, Yau, Schlein with coauthors, the significant progress in understanding the universal behavior of many random graph and random matrix models were achieved. However for the random matrices with a special structure our understanding is still very limited. In this talk I am going to overview applications of another approach to the study of the local eigenvalues statistics in random matrix theory based on so-called supersymmetry techniques (SUSY). SUSY approach is based on the representation of the determinant as an integral over the Grassmann (anticommuting) variables. Combining this representation with the representation of an inverse determinant as an integral over the Gaussian complex field, SUSY allows to obtain an integral representation for the main spectral characteristics of random matrices such as limiting density, correlation functions, the resolvent's elements, etc. This method is widely (and successfully) used in the physics literature and is potentially very powerful but the rigorous control of the integral representations, which can be obtained by this method, is quite difficult, and it requires powerful analytic and statistical mechanics tools. In this talk we will discuss some recent progress in application of SUSY to the analysis of local spectral characteristics of the prominent ensemble of random band matrices, i.e. random matrices<br />
whose entries become negligible if their distance from the main diagonal exceeds a certain parameter called the band width. <br />
<br />
<br />
=== Tingran Gao (University of Chicago) ===<br />
<br />
Title: Manifold Learning on Fibre Bundles<br />
<br />
Abstract: Spectral geometry has played an important role in modern geometric data analysis, where the technique is widely known as Laplacian eigenmaps or diffusion maps. In this talk, we present a geometric framework that studies graph representations of complex datasets, where each edge of the graph is equipped with a non-scalar transformation or correspondence. This new framework models such a dataset as a fibre bundle with a connection, and interprets the collection of pairwise functional relations as defining a horizontal diffusion process on the bundle driven by its projection on the base. The eigenstates of this horizontal diffusion process encode the “consistency” among objects in the dataset, and provide a lens through which the geometry of the dataset can be revealed. We demonstrate an application of this geometric framework on evolutionary anthropology.<br />
<br />
<br />
=== Andrew Zimmer (LSU) ===<br />
<br />
Title: Intrinsic and extrinsic geometries in several complex variables<br />
<br />
Abstract: A bounded domain in complex Euclidean space, despite being one of the simplest types of manifolds, has a number of interesting geometric structures. When the domain is pseudoconvex, it has a natural intrinsic geometry: the complete Kaehler-Einstein metric constructed by Cheng-Yau and Mok-Yau. When the domain is smoothly bounded, there is also a natural extrinsic structure: the CR-geometry of the boundary. In this talk, I will describe connections between these intrinsic and extrinsic geometries. Then, I will discuss how these connections can lead to new analytic results.<br />
<br />
=== Charlotte Chan (MIT) ===<br />
<br />
Title: Flag varieties and representations of p-adic groups<br />
<br />
Abstract: In the 1950s, Borel, Weil, and Bott showed that the<br />
irreducible representations of a complex reductive group can be<br />
realized in the cohomology of line bundles on flag varieties. In the<br />
1970s, Deligne and Lusztig constructed a family of subvarieties of<br />
flag varieties whose cohomology realizes the irreducible<br />
representations of reductive groups over finite fields. I will survey<br />
these stories, explain recent progress towards finding geometric<br />
constructions of representations of p-adic groups, and discuss<br />
interactions with the Langlands program.<br />
<br />
=== Hui Yu (Columbia) ===<br />
<br />
Title: Singular sets in obstacle problems<br />
<br />
Abstract: One of the most important free boundary problems is the obstacle problem. The regularity of its free boundary has been studied for over half a century. In this talk, we review some classical results as well as exciting new developments. In particular, we discuss the recent resolution of the regularity of the singular set for the fully nonlinear obstacle problem. This talk is based on a joint work with Ovidiu Savin at Columbia University.<br />
<br />
=== Alex Waldron (Michigan) ===<br />
<br />
Title: Gauge theory and geometric flows<br />
<br />
Abstract: I will give a brief introduction to two major areas of research in differential geometry: gauge theory and geometric flows. I'll then introduce a geometric flow (Yang-Mills flow) arising from a variational problem with origins in physics, which has been studied by geometric analysts since the early 1980s. I'll conclude by discussing my own work on the behavior of Yang-Mills flow in the critical dimension (n = 4).<br />
<br />
=== Nick Higham (Manchester) ===<br />
<br />
Title: Challenges in Multivalued Matrix Functions<br />
<br />
Abstract: In this lecture I will discuss multivalued matrix functions that arise in solving various kinds of matrix equations. The matrix logarithm is the prototypical example, and my first interaction with Hans Schneider was about this function. Another example is the Lambert W function of a matrix, which is much less well known but has been attracting recent interest. A theme of the talk is the importance of choosing appropriate principal values and making sure that the correct choices of signs and branches are used,<br />
both in theory and in computation. I will give examples where incorrect results have previously been obtained.<br />
<br />
I focus on matrix inverse trigonometric and inverse hyperbolic functions, beginning by investigating existence and characterization. Turning to the principal values, various functional identities are derived, some of which are new even in the scalar case, including a “round trip” formula that relates acos(cos A) to A and similar formulas for the other inverse functions. Key tools used in the derivations are the matrix unwinding function and the matrix sign function.<br />
<br />
A new inverse scaling and squaring type algorithm employing a Schur decomposition and variable-degree Pade approximation is derived for computing acos, and it is shown how it can also be used to compute asin, acosh, and asinh.<br />
<br />
=== Chenxi Wu (Rutgers) ===<br />
<br />
Title: Kazhdan's theorem on metric graphs<br />
<br />
Abstract: I will give an introduction to the concept of canonical (arakelov) metric on a metric graph, which is related to combinatorial questions like the counting of spanning trees, and generalizes the corresponding concept on Riemann surfaces. I will also present a recent result in collaboration with Farbod Shokrieh on the convergence of canonical metric under normal covers.<br />
<br />
=== Ruobing Zhang (Stony Brook) ===<br />
<br />
Title: Geometry and analysis of degenerating Calabi-Yau manifolds<br />
<br />
Abstract: This talk concerns a naturally occurring family of degenerating Calabi-Yau manifolds. A primary tool in analyzing their behavior is to combine the recently developed structure theory for Einstein manifolds and multi-scale singularity analysis for degenerating nonlinear PDEs in the collapsed setting. Based on the algebraic degeneration, we will give precise and more quantitative descriptions of singularity formation from both metric and analytic points of view.<br />
<br />
=== Thomas Lam (Michigan) === <br />
<br />
Title: Positive geometries and string theory amplitudes<br />
<br />
Abstract: Inspired by developments in quantum field theory, we<br />
recently defined the notion of a positive geometry, a class of spaces<br />
that includes convex polytopes, positive parts of projective toric<br />
varieties, and positive parts of flag varieties. I will discuss some<br />
basic features of the theory and an application to genus zero string<br />
theory amplitudes. As a special case, we obtain the Euler beta<br />
function, familiar to mathematicians, as the "stringy canonical form"<br />
of the closed interval.<br />
<br />
This talk is based on joint work with Arkani-Hamed, Bai, and He.<br />
<br />
=== Peter Cholak (Notre Dame) ===<br />
<br />
Title: What can we compute from solutions to combinatorial problems?<br />
<br />
Abstract: This will be an introductory talk to an exciting current <br />
research area in mathematical logic. Mostly we are interested in <br />
solutions to Ramsey's Theorem. Ramsey's Theorem says for colorings <br />
C of pairs of natural numbers, there is an infinite set H such that <br />
all pairs from H have the same constant color. H is called a homogeneous <br />
set for C. What can we compute from H? If you are not sure, come to <br />
the talk and find out!<br />
<br />
=== Saulo Orizaga (Duke) ===<br />
<br />
Title: Introduction to phase field models and their efficient numerical implementation<br />
<br />
Abstract: In this talk we will provide an introduction to phase field models. We will focus in models<br />
related to the Cahn-Hilliard (CH) type of partial differential equation (PDE). We will discuss the<br />
challenges associated in solving such higher order parabolic problems. We will present several<br />
new numerical methods that are fast and efficient for solving CH or CH-extended type of problems.<br />
The new methods and their energy-stability properties will be discussed and tested with several computational examples commonly found in material science problems. If time allows, we will talk about more applications in which phase field models are useful and applicable.<br />
<br />
=== Caglar Uyanik (Yale) ===<br />
<br />
Title: Hausdorff dimension and gap distribution in billiards<br />
<br />
Abstract: A classical “unfolding” procedure allows one to turn questions about billiard trajectories in a Euclidean polygon into questions about the geodesic flow on a surface equipped with a certain geometric structure. Surprisingly, the flow on the surface is in turn related to the geodesic flow on the classical moduli spaces of Riemann surfaces. Building on recent breakthrough results of Eskin-Mirzakhani-Mohammadi, we prove a large deviations result for Birkhoff averages as well as generalize a classical theorem of Masur on geodesics in the moduli spaces of translation surfaces. <br />
<br />
=== Andy Zucker (Lyon) ===<br />
<br />
Title: Topological dynamics of countable groups and structures<br />
<br />
Abstract: We give an introduction to the abstract topological dynamics <br />
of topological groups, i.e. the study of the continuous actions of a <br />
topological group on a compact space. We are particularly interested <br />
in the minimal actions, those for which every orbit is dense. <br />
The study of minimal actions is aided by a classical theorem of Ellis, <br />
who proved that for any topological group G, there exists a universal <br />
minimal flow (UMF), a minimal G-action which factors onto every other <br />
minimal G-action. Here, we will focus on two classes of groups: <br />
a countable discrete group and the automorphism group of a countable <br />
first-order structure. In the case of a countable discrete group, <br />
Baire category methods can be used to show that the collection of <br />
minimal flows is quite rich and that the UMF is rather complicated. <br />
For an automorphism group G of a countable structure, combinatorial <br />
methods can be used to show that sometimes, the UMF is trivial, or <br />
equivalently that every continuous action of G on a compact space <br />
admits a global fixed point.<br />
<br />
=== Lillian Pierce (Duke) ===<br />
<br />
Title: On Bourgain’s counterexample for the Schrödinger maximal function<br />
<br />
Abstract: In 1980, Carleson asked a question in harmonic analysis: to which Sobolev space $H^s$ must an initial data function belong, for a pointwise a.e. convergence result to hold for the solution to the associated linear Schrödinger equation? Over the next decades, many people developed counterexamples to push the (necessary) range of s up, and positive results to push the (sufficient) range of s down. Now, these ranges are finally meeting: Bourgain’s 2016 counterexample showed s < n/(2(n+1)) fails, and Du and Zhang’s 2019 paper shows that s>n/(2(n+1)) suffices. <br />
In this talk, we will give an overview of how to rigorously derive Bourgain’s 2016 counterexample, based on simple facts from number theory. We will show how to build Bourgain’s counterexample starting from “zero knowledge," and how to gradually optimize the set-up to arrive at the final counterexample. The talk will be broadly accessible, particularly if we live up to the claim of starting from “zero knowledge.”<br />
<br />
=== Joe Kileel (Princeton) ===<br />
<br />
Title: Inverse Problems, Imaging and Tensor Decomposition<br />
<br />
Abstract: Perspectives from computational algebra and optimization are brought <br />
to bear on a scientific application and a data science application. <br />
In the first part of the talk, I will discuss cryo-electron microscopy <br />
(cryo-EM), an imaging technique to determine the 3-D shape of <br />
macromolecules from many noisy 2-D projections, recognized by the 2017 <br />
Chemistry Nobel Prize. Mathematically, cryo-EM presents a <br />
particularly rich inverse problem, with unknown orientations, extreme <br />
noise, big data and conformational heterogeneity. In particular, this <br />
motivates a general framework for statistical estimation under compact <br />
group actions, connecting information theory and group invariant <br />
theory. In the second part of the talk, I will discuss tensor rank <br />
decomposition, a higher-order variant of PCA broadly applicable in <br />
data science. A fast algorithm is introduced and analyzed, combining <br />
ideas of Sylvester and the power method.<br />
<br />
=== Cynthia Vinzant (NCSU) ===<br />
<br />
Title: Matroids, log-concavity, and expanders<br />
<br />
Abstract: Matroids are combinatorial objects that model various types of independence. They appear several fields mathematics, including graph theory, combinatorial optimization, and algebraic geometry. In this talk, I will introduce the theory of matroids along with the closely related class of polynomials called strongly log-concave polynomials. Strong log-concavity is a functional property of a real multivariate polynomial that translates to useful conditions on its coefficients. Discrete probability distributions defined by these coefficients inherit several of these nice properties. I will discuss the beautiful real and combinatorial geometry underlying these polynomials and describe applications to random walks on the faces of simplicial complexes. Consequences include proofs of Mason's conjecture that the sequence of numbers of independent sets of a matroid is ultra log-concave and the Mihail-Vazirani conjecture that the basis exchange graph of a matroid has expansion at least one. This is based on joint work with Nima Anari, Kuikui Liu, and Shayan Oveis Gharan.<br />
<br />
=== Jinz Mac Huang (UCSD) ===<br />
<br />
Title: Mass transfer through fluid-structure interactions<br />
<br />
Abstract: The advancement of mathematics is closely associated with new discoveries from physical experiments. On one hand, mathematical tools like numerical simulation can help explain observations from experiments. On the other hand, experimental discoveries of physical phenomena, such as Brownian motion, can inspire the development of new mathematical approaches. In this talk, we focus on the interplay between applied math and experiments involving fluid-structure interactions -- a fascinating topic with both physical relevance and mathematical complexity. One such problem, inspired by geophysical fluid dynamics, is the experimental and numerical study of the dissolution of solid bodies in a fluid flow. The results of this study allow us to sketch mathematical answers to some long standing questions like the formation of stone forests in China and Madagascar, and how many licks it takes to get to the center of a Tootsie Pop. We will also talk about experimental math problems at the micro-scale, focusing on the mass transport process of diffusiophoresis, where colloidal particles are advected by a concentration gradient of salt solution. Exploiting this phenomenon, we see that colloids are able to navigate a micro-maze that has a salt concentration gradient across the exit and entry points. We further demonstrate that their ability to solve the maze is closely associated with the properties of a harmonic function – the salt concentration.<br />
<br />
=== William Chan (University of North Texas) ===<br />
<br />
Title: Definable infinitary combinatorics under determinacy<br />
<br />
Abstract: The axiom of determinacy, AD, states that in any infinite two player integer game of a certain form, one of the two players must have a winning strategy. It is incompatible with the ZFC set theory axioms with choice; however, it is a succinct extension of ZF which implies many subsets of the real line possess familiar regularity properties and eliminates many pathological sets. For instance, AD implies all sets of reals are Lebesgue measurable and every function from the reals to the reals is continuous on a comeager set. Determinacy also implies that the first uncountable cardinal has the strong partition property which can be used to define the partition measures. This talk will give an overview of the axiom of determinacy and will discuss recent results on the infinitary combinatorics surrounding the first uncountable cardinal and its partition measures. I will discuss the almost everywhere continuity phenomenon for functions outputting countable ordinals and the almost-everywhere uniformization results for closed and unbounded subsets of the first uncountable cardinal. These will be used to describe the rich structure of the cardinals below the powerset of the first and second uncountable cardinals under determinacy assumptions and to investigate the ultrapowers by these partition measures.<br />
<br />
== Future Colloquia ==<br />
[[Colloquia/Fall 2020| Fall 2020]]<br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Spring2019|Spring 2019]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Colloquia&diff=18874Colloquia2020-02-03T17:48:54Z<p>Spagnolie: /* Spring 2020 */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
<br />
<br />
==Fall 2019==<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 6 '''Room 911'''<br />
| Will Sawin (Columbia)<br />
| [[#Will Sawin (Columbia) | On Chowla's Conjecture over F_q[T] ]]<br />
| Marshall<br />
|-<br />
|Sept 13<br />
| [https://www.math.ksu.edu/~soibel/ Yan Soibelman] (Kansas State)<br />
|[[#Yan Soibelman (Kansas State)| Riemann-Hilbert correspondence and Fukaya categories ]]<br />
| Caldararu<br />
|<br />
|-<br />
|Sept 16 '''Monday Room 911'''<br />
| [http://mate.dm.uba.ar/~alidick/ Alicia Dickenstein] (Buenos Aires)<br />
|[[#Alicia Dickenstein (Buenos Aires)| Algebra and geometry in the study of enzymatic cascades ]]<br />
| Craciun<br />
|<br />
|-<br />
|Sept 20<br />
| [https://math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|[[#Jianfeng Lu (Duke) | How to "localize" the computation?]]<br />
| Qin<br />
|<br />
|-<br />
|Sept 26 '''Thursday 3-4 pm Room 911'''<br />
| [http://eugeniacheng.com/ Eugenia Cheng] (School of the Art Institute of Chicago)<br />
| [[#Eugenia Cheng (School of the Art Institute of Chicago)| Character vs gender in mathematics and beyond ]]<br />
| Marshall / Friends of UW Madison Libraries<br />
|<br />
|-<br />
|Sept 27<br />
|<br />
|<br />
|-<br />
|Oct 4<br />
|<br />
|<br />
|-<br />
|Oct 11<br />
| Omer Mermelstein (Madison)<br />
| [[#Omer Mermelstein (Madison)| Generic flat pregeometries ]]<br />
|Andrews<br />
|<br />
|-<br />
|Oct 18<br />
| Shamgar Gurevich (Madison)<br />
| [[#Shamgar Gurevich (Madison) | Harmonic Analysis on GL(n) over Finite Fields ]]<br />
| Marshall<br />
|-<br />
|Oct 25<br />
|<br />
|-<br />
|Nov 1<br />
|Elchanan Mossel (MIT)<br />
|Distinguished Lecture<br />
|Roch<br />
|-<br />
|Nov 8<br />
|Jose Rodriguez (UW-Madison)<br />
|[[#Jose Rodriguez (UW-Madison) | Nearest Point Problems and Euclidean Distance Degrees]]<br />
|Erman<br />
|-<br />
|Nov 13 '''Wednesday 4-5pm'''<br />
|Ananth Shankar (MIT)<br />
|Exceptional splitting of abelian surfaces<br />
|-<br />
|Nov 20 '''Wednesday 4-5pm'''<br />
|Franca Hoffman (Caltech)<br />
|[[#Franca Hoffman (Caltech) | Gradient Flows: From PDE to Data Analysis]]<br />
|Smith<br />
|-<br />
|Nov 22<br />
| Jeffrey Danciger (UT Austin)<br />
| [[#Jeffrey Danciger (UT Austin) | "Affine geometry and the Auslander Conjecture"]]<br />
| Kent<br />
|-<br />
|Nov 25 '''Monday 4-5 pm Room 911'''<br />
|Tatyana Shcherbina (Princeton)<br />
| [[# Tatyana Shcherbina (Princeton)| "Random matrix theory and supersymmetry techniques"]]<br />
|Roch<br />
|-<br />
|Nov 29<br />
|Thanksgiving<br />
|<br />
|-<br />
|Dec 2 '''Monday 4-5pm'''<br />
|Tingran Gao (University of Chicago)<br />
| [[#Tingran Gao (University of Chicago)| "Manifold Learning on Fibre Bundles"]]<br />
|Smith<br />
|-<br />
|Dec 4 '''Wednesday 4-5 pm Room 911'''<br />
|Andrew Zimmer (LSU)<br />
|[[#Andrew Zimmer (LSU)| "Intrinsic and extrinsic geometries in several complex variables"]]<br />
|Gong<br />
|-<br />
|Dec 6<br />
|Charlotte Chan (MIT)<br />
|[[#Charlotte Chan (MIT)|"Flag varieties and representations of p-adic groups"]]<br />
|Erman<br />
|-<br />
|Dec 9 '''Monday 4-5 pm'''<br />
|Hui Yu (Columbia)<br />
|[[#Hui Yu (Columbia)|Singular sets in obstacle problems]]<br />
|Tran<br />
|-<br />
|Dec 11 '''Wednesday 2:30-3:30pm Room 911'''<br />
|Alex Waldron (Michigan)<br />
|[[#Alex Waldron (Michigan)|Gauge theory and geometric flows]]<br />
|Paul<br />
|-<br />
|Dec 11 '''Wednesday 4-5pm'''<br />
|Nick Higham (Manchester)<br />
|[[#Nick Higham (Manchester)|LAA lecture: Challenges in Multivalued Matrix Functions]]<br />
|Brualdi<br />
|-<br />
|Dec 13 <br />
|Chenxi Wu (Rutgers)<br />
|[[#Chenxi Wu (Rutgers)|Kazhdan's theorem on metric graphs]]<br />
|Ellenberg<br />
|-<br />
|Dec 18 '''Wednesday 4-5pm'''<br />
|Ruobing Zhang (Stony Brook)<br />
|[[#Ruobing Zhang (Stony Brook)|Geometry and analysis of degenerating Calabi-Yau manifolds]]<br />
|Paul<br />
|-<br />
|}<br />
<br />
==Spring 2020==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|<br />
|-<br />
|Jan 10<br />
|Thomas Lam (Michigan) <br />
|[[#Thomas Lam (Michigan) |Positive geometries and string theory amplitudes]]<br />
|Erman<br />
|-<br />
|Jan 21 '''Tuesday 4-5 pm in B139'''<br />
|[http://www.nd.edu/~cholak/ Peter Cholak] (Notre Dame) <br />
|[[#Peter Cholak (Notre Dame) |What can we compute from solutions to combinatorial problems?]]<br />
|Lempp<br />
|-<br />
|Jan 24<br />
|[https://math.duke.edu/people/saulo-orizaga Saulo Orizaga] (Duke)<br />
|[[#Saulo Orizaga (Duke) | Introduction to phase field models and their efficient numerical implementation ]]<br />
|<br />
|-<br />
|Jan 27 '''Monday 4-5 pm in 911'''<br />
|[https://math.yale.edu/people/caglar-uyanik Caglar Uyanik] (Yale)<br />
|[[#Caglar Uyanik (Yale) | Hausdorff dimension and gap distribution in billiards ]]<br />
|Ellenberg<br />
|-<br />
|Jan 29 '''Wednesday 4-5 pm'''<br />
|[https://ajzucker.wordpress.com/ Andy Zucker] (Lyon)<br />
|[[#Andy Zucker (Lyon) |Topological dynamics of countable groups and structures]]<br />
|Soskova/Lempp<br />
|-<br />
|Jan 31 <br />
|[https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke)<br />
|[[#Lillian Pierce (Duke) |On Bourgain’s counterexample for the Schrödinger maximal function]]<br />
|Marshall/Seeger<br />
|-<br />
|Feb 7<br />
|[https://web.math.princeton.edu/~jkileel/ Joe Kileel] (Princeton)<br />
|[[#Joe Kileel (Princeton) |Inverse Problems, Imaging and Tensor Decomposition]]<br />
|Roch<br />
|-<br />
|Feb 10<br />
|[https://clvinzan.math.ncsu.edu/ Cynthia Vinzant] (NCSU)<br />
|[[#Cynthia Vinzant (NCSU) |Matroids, log-concavity, and expanders]]<br />
|Roch/Erman<br />
|-<br />
|Feb 12 '''Wednesday 4-5 pm in VV 911'''<br />
|[https://www.machuang.org/ Jinzi Mac Huang] (UCSD)<br />
|[[#Jinzi Mac Huang (UCSD) |Mass transfer through fluid-structure interactions]]<br />
|Spagnolie<br />
|-<br />
|Feb 14<br />
|Reserved for job talk<br />
|<br />
|-<br />
|Feb 21<br />
|Shai Evra (IAS)<br />
|<br />
|Gurevich<br />
|<br />
|-<br />
|Feb 28<br />
|Brett Wick (Washington University, St. Louis)<br />
|<br />
|Seeger<br />
|-<br />
|March 6<br />
| Jessica Fintzen (Michigan)<br />
|<br />
|Marshall<br />
|-<br />
|March 13<br />
|<br />
|-<br />
|March 20<br />
|Spring break<br />
|<br />
|-<br />
|March 27<br />
|(Moduli Spaces Conference)<br />
|<br />
|Boggess, Sankar<br />
|-<br />
|April 3<br />
|Caroline Turnage-Butterbaugh (Carleton College)<br />
|<br />
|Marshall<br />
|-<br />
|April 10<br />
| Sarah Koch (Michigan)<br />
|<br />
| Bruce (WIMAW)<br />
|-<br />
|April 17<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|Martin Hairer (Imperial College London)<br />
|Wolfgang Wasow Lecture<br />
|Hao Shen<br />
|-<br />
|April 24<br />
|Natasa Sesum (Rutgers University)<br />
|<br />
|Angenent<br />
|-<br />
|May 1<br />
|Robert Lazarsfeld (Stony Brook)<br />
|Distinguished lecture<br />
|Erman<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
<br />
===Will Sawin (Columbia)===<br />
<br />
Title: On Chowla's Conjecture over F_q[T]<br />
<br />
Abstract: The Mobius function in number theory is a sequences of 1s, <br />
-1s, and 0s, which is simple to define and closely related to the <br />
prime numbers. Its behavior seems highly random. Chowla's conjecture <br />
is one precise formalization of this randomness, and has seen recent <br />
work by Matomaki, Radziwill, Tao, and Teravainen making progress on <br />
it. In joint work with Mark Shusterman, we modify this conjecture by <br />
replacing the natural numbers parameterizing this sequence with <br />
polynomials over a finite field. Under mild conditions on the finite <br />
field, we are able to prove a strong form of this conjecture. The <br />
proof is based on taking a geometric perspective on the problem, and <br />
succeeds because we are able to simplify the geometry using a trick <br />
based on the strange properties of polynomial derivatives over finite <br />
fields.<br />
<br />
<br />
===Yan Soibelman (Kansas State)===<br />
<br />
Title: Riemann-Hilbert correspondence and Fukaya categories<br />
<br />
Abstract: In this talk I am going to discuss the role of Fukaya categories in the Riemann-Hilbert correspondence<br />
for differential, q-difference and elliptic difference equations in dimension one.<br />
This approach not only gives a unified answer for several versions of the Riemann-Hilbert correspondence but also leads to a natural formulation<br />
of the non-abelian Hodge theory in dimension one. It also explains why periodic monopoles<br />
should appear as harmonic objects in this generalized non-abelian Hodge theory.<br />
All that is a part of the bigger project ``Holomorphic Floer theory",<br />
joint with Maxim Kontsevich.<br />
<br />
<br />
===Alicia Dickenstein (Buenos Aires)===<br />
<br />
Title: Algebra and geometry in the study of enzymatic cascades<br />
<br />
Abstract: In recent years, techniques from computational and real algebraic geometry have been successfully used to address mathematical challenges in systems biology. The algebraic theory of chemical reaction systems aims to understand their dynamic behavior by taking advantage of the inherent algebraic structure in the kinetic equations, and does not need the determination of the parameters a priori, which can be theoretically or practically impossible.<br />
I will give a gentle introduction to general results based on the network structure. In particular, I will describe a general framework for biological systems, called MESSI systems, that describe Modifications of type Enzyme-Substrate or Swap with Intermediates, and include many networks that model post-translational modifications of proteins inside the cell. I will also outline recent methods to address the important question of multistationarity, in particular in the study of enzymatic cascades, and will point out some of the mathematical challenges that arise from this application.<br />
<br />
<br />
=== Jianfeng Lu (Duke) ===<br />
Title: How to ``localize" the computation?<br />
<br />
It is often desirable to restrict the numerical computation to a local region to achieve best balance between accuracy and affordability in scientific computing. It is important to avoid artifacts and guarantee predictable modelling while artificial boundary conditions have to be introduced to restrict the computation. In this talk, we will discuss some recent understanding on how to achieve such local computation in the context of topological edge states and elliptic random media.<br />
<br />
<br />
===Eugenia Cheng (School of the Art Institute of Chicago)===<br />
<br />
Title: Character vs gender in mathematics and beyond<br />
<br />
Abstract: This presentation will be based on my experience of being a female mathematician, and teaching mathematics at all levels from elementary school to grad school. The question of why women are under-represented in mathematics is complex and there are no simple answers, only many many contributing factors. I will focus on character traits, and argue that if we focus on this rather than gender we can have a more productive and less divisive conversation. To try and focus on characters rather than genders I will introduce gender-neutral character adjectives "ingressive" and "congressive" to replace masculine and feminine. I will share my experience of teaching congressive abstract mathematics to art students, in a congressive way, and the possible effects this could have for everyone in mathematics, not just women.<br />
<br />
<br />
===Omer Mermelstein (Madison)===<br />
<br />
Title: Generic flat pregeometries<br />
<br />
Abstract: In model theory, the tamest of structures are the strongly minimal ones -- those in which every equation in a single variable has either finitely many or cofinitely many solution. Algebraically closed fields and vector spaces are the canonical examples. Zilber’s conjecture, later refuted by Hrushovski, states that the source of geometric complexity in a strongly minimal structure must be algebraic. The property of "flatness" (strict gammoid) of a geometry (matroid) is that which guarantees Hrushovski's construction is devoid of any associative structure.<br />
The majority of the talk will explain what flatness is, how it should be thought of, and how closely it relates to hypergraphs and Hrushovski's construction method. Model theory makes an appearance only in the second part, where I will share results pertaining to the specific family of geometries arising from Hrushovski's methods.<br />
<br />
<br />
===Shamgar Gurevich (Madison)===<br />
<br />
Title: Harmonic Analysis on GL(n) over Finite Fields.<br />
<br />
Abstract: There are many formulas that express interesting properties of a finite group G in terms of sums over its characters. For evaluating or estimating these sums, one of the most salient quantities to understand is the character ratio:<br />
<br />
trace(ρ(g)) / dim(ρ),<br />
<br />
for an irreducible representation ρ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of the mentioned type for analyzing certain random walks on G.<br />
<br />
Recently, we discovered that for classical groups G over finite fields there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant rank. <br />
<br />
This talk will discuss the notion of rank for the group GLn over finite fields, demonstrate how it controls the character ratio, and explain how one can apply the results to verify mixing time and rate for certain random walks.<br />
<br />
This is joint work with Roger Howe (Yale and Texas AM). The numerics for this work was carried by Steve Goldstein (Madison)<br />
<br />
<br />
===Jose Rodriguez (UW-Madison)===<br />
<br />
Abstract: Determining the closest point to a model (subset of Euclidean space) is an important problem in many applications in science,<br />
engineering, and statistics. One way to solve this problem is by minimizing the squared Euclidean distance function using a gradient<br />
descent approach. However, when there are multiple local minima, there is no guarantee of convergence to the true global minimizer.<br />
An alternative method is to determine the critical points of an objective function on the model.<br />
In algebraic statistics, the models of interest are algebraic sets, i.e., solution sets to a system of multivariate polynomial equations. In this situation, the number of critical points of the squared Euclidean distance function on the model’s Zariski closure is a topological invariant called the Euclidean distance degree (ED degree).<br />
In this talk, I will present some models from computer vision and statistics that may be described as algebraic sets. Moreover,<br />
I will describe a topological method for determining a Euclidean distance degree and a numerical algebraic geometry approach for<br />
determining critical points of the squared Euclidean distance function.<br />
<br />
<br />
===Ananth Shankar (MIT)===<br />
<br />
Abstract: An abelian surface 'splits' if it admits a non-trivial map to some elliptic curve. It is well known that the set of abelian surfaces that split are sparse in the set of all abelian surfaces. Nevertheless, we prove that there are infinitely many split abelian surfaces in arithmetic one-parameter families of generically non-split abelian surfaces. I will describe this work, and if time permits, mention generalizations of this result to the setting of K3 surfaces, as well as applications to the dynamics of hecke orbits. This is joint work with Tang, Maulik-Tang, and Shankar-Tang-Tayou.<br />
<br />
<br />
===Franca Hoffman (Caltech)===<br />
<br />
Title: Gradient Flows: From PDE to Data Analysis.<br />
<br />
Abstract: Certain diffusive PDEs can be viewed as infinite-dimensional gradient flows. This fact has led to the development of new tools in various areas of mathematics ranging from PDE theory to data science. In this talk, we focus on two different directions: model-driven approaches and data-driven approaches.<br />
In the first part of the talk we use gradient flows for analyzing non-linear and non-local aggregation-diffusion equations when the corresponding energy functionals are not necessarily convex. Moreover, the gradient flow structure enables us to make connections to well-known functional inequalities, revealing possible links between the optimizers of these inequalities and the equilibria of certain aggregation-diffusion PDEs.<br />
In the second part, we use and develop gradient flow theory to design novel tools for data analysis. We draw a connection between gradient flows and Ensemble Kalman methods for parameter estimation. We introduce the Ensemble Kalman Sampler - a derivative-free methodology for model calibration and uncertainty quantification in expensive black-box models. The interacting particle dynamics underlying our algorithm can be approximated by a novel gradient flow structure in a modified Wasserstein metric which reflects particle correlations. The geometry of this modified Wasserstein metric is of independent theoretical interest.<br />
<br />
<br />
=== Jeffrey Danciger (UT Austin) ===<br />
<br />
Title: Affine geometry and the Auslander Conjecture<br />
<br />
Abstract: The Auslander Conjecture is an analogue of Bieberbach’s theory of Euclidean crystallographic groups in the setting of affine geometry. It predicts that a complete affine manifold (a manifold equipped with a complete torsion-free flat affine connection) which is compact must have virtually solvable fundamental group. The conjecture is known up to dimension six, but is known to fail if the compactness assumption is removed, even in low dimensions. We discuss some history of this conjecture, give some basic examples, and then survey some recent advances in the study of non-compact complete affine manifolds with non-solvable fundamental group. <br />
Tools from the deformation theory of pseudo-Riemannian hyperbolic manifolds and also from higher Teichm&uuml;ller theory will enter the picture.<br />
<br />
<br />
=== Tatyana Shcherbina (Princeton) ===<br />
<br />
Title: Random matrix theory and supersymmetry techniques<br />
<br />
Abstract: Starting from the works of Erdos, Yau, Schlein with coauthors, the significant progress in understanding the universal behavior of many random graph and random matrix models were achieved. However for the random matrices with a special structure our understanding is still very limited. In this talk I am going to overview applications of another approach to the study of the local eigenvalues statistics in random matrix theory based on so-called supersymmetry techniques (SUSY). SUSY approach is based on the representation of the determinant as an integral over the Grassmann (anticommuting) variables. Combining this representation with the representation of an inverse determinant as an integral over the Gaussian complex field, SUSY allows to obtain an integral representation for the main spectral characteristics of random matrices such as limiting density, correlation functions, the resolvent's elements, etc. This method is widely (and successfully) used in the physics literature and is potentially very powerful but the rigorous control of the integral representations, which can be obtained by this method, is quite difficult, and it requires powerful analytic and statistical mechanics tools. In this talk we will discuss some recent progress in application of SUSY to the analysis of local spectral characteristics of the prominent ensemble of random band matrices, i.e. random matrices<br />
whose entries become negligible if their distance from the main diagonal exceeds a certain parameter called the band width. <br />
<br />
<br />
=== Tingran Gao (University of Chicago) ===<br />
<br />
Title: Manifold Learning on Fibre Bundles<br />
<br />
Abstract: Spectral geometry has played an important role in modern geometric data analysis, where the technique is widely known as Laplacian eigenmaps or diffusion maps. In this talk, we present a geometric framework that studies graph representations of complex datasets, where each edge of the graph is equipped with a non-scalar transformation or correspondence. This new framework models such a dataset as a fibre bundle with a connection, and interprets the collection of pairwise functional relations as defining a horizontal diffusion process on the bundle driven by its projection on the base. The eigenstates of this horizontal diffusion process encode the “consistency” among objects in the dataset, and provide a lens through which the geometry of the dataset can be revealed. We demonstrate an application of this geometric framework on evolutionary anthropology.<br />
<br />
<br />
=== Andrew Zimmer (LSU) ===<br />
<br />
Title: Intrinsic and extrinsic geometries in several complex variables<br />
<br />
Abstract: A bounded domain in complex Euclidean space, despite being one of the simplest types of manifolds, has a number of interesting geometric structures. When the domain is pseudoconvex, it has a natural intrinsic geometry: the complete Kaehler-Einstein metric constructed by Cheng-Yau and Mok-Yau. When the domain is smoothly bounded, there is also a natural extrinsic structure: the CR-geometry of the boundary. In this talk, I will describe connections between these intrinsic and extrinsic geometries. Then, I will discuss how these connections can lead to new analytic results.<br />
<br />
=== Charlotte Chan (MIT) ===<br />
<br />
Title: Flag varieties and representations of p-adic groups<br />
<br />
Abstract: In the 1950s, Borel, Weil, and Bott showed that the<br />
irreducible representations of a complex reductive group can be<br />
realized in the cohomology of line bundles on flag varieties. In the<br />
1970s, Deligne and Lusztig constructed a family of subvarieties of<br />
flag varieties whose cohomology realizes the irreducible<br />
representations of reductive groups over finite fields. I will survey<br />
these stories, explain recent progress towards finding geometric<br />
constructions of representations of p-adic groups, and discuss<br />
interactions with the Langlands program.<br />
<br />
=== Hui Yu (Columbia) ===<br />
<br />
Title: Singular sets in obstacle problems<br />
<br />
Abstract: One of the most important free boundary problems is the obstacle problem. The regularity of its free boundary has been studied for over half a century. In this talk, we review some classical results as well as exciting new developments. In particular, we discuss the recent resolution of the regularity of the singular set for the fully nonlinear obstacle problem. This talk is based on a joint work with Ovidiu Savin at Columbia University.<br />
<br />
=== Alex Waldron (Michigan) ===<br />
<br />
Title: Gauge theory and geometric flows<br />
<br />
Abstract: I will give a brief introduction to two major areas of research in differential geometry: gauge theory and geometric flows. I'll then introduce a geometric flow (Yang-Mills flow) arising from a variational problem with origins in physics, which has been studied by geometric analysts since the early 1980s. I'll conclude by discussing my own work on the behavior of Yang-Mills flow in the critical dimension (n = 4).<br />
<br />
=== Nick Higham (Manchester) ===<br />
<br />
Title: Challenges in Multivalued Matrix Functions<br />
<br />
Abstract: In this lecture I will discuss multivalued matrix functions that arise in solving various kinds of matrix equations. The matrix logarithm is the prototypical example, and my first interaction with Hans Schneider was about this function. Another example is the Lambert W function of a matrix, which is much less well known but has been attracting recent interest. A theme of the talk is the importance of choosing appropriate principal values and making sure that the correct choices of signs and branches are used,<br />
both in theory and in computation. I will give examples where incorrect results have previously been obtained.<br />
<br />
I focus on matrix inverse trigonometric and inverse hyperbolic functions, beginning by investigating existence and characterization. Turning to the principal values, various functional identities are derived, some of which are new even in the scalar case, including a “round trip” formula that relates acos(cos A) to A and similar formulas for the other inverse functions. Key tools used in the derivations are the matrix unwinding function and the matrix sign function.<br />
<br />
A new inverse scaling and squaring type algorithm employing a Schur decomposition and variable-degree Pade approximation is derived for computing acos, and it is shown how it can also be used to compute asin, acosh, and asinh.<br />
<br />
=== Chenxi Wu (Rutgers) ===<br />
<br />
Title: Kazhdan's theorem on metric graphs<br />
<br />
Abstract: I will give an introduction to the concept of canonical (arakelov) metric on a metric graph, which is related to combinatorial questions like the counting of spanning trees, and generalizes the corresponding concept on Riemann surfaces. I will also present a recent result in collaboration with Farbod Shokrieh on the convergence of canonical metric under normal covers.<br />
<br />
=== Ruobing Zhang (Stony Brook) ===<br />
<br />
Title: Geometry and analysis of degenerating Calabi-Yau manifolds<br />
<br />
Abstract: This talk concerns a naturally occurring family of degenerating Calabi-Yau manifolds. A primary tool in analyzing their behavior is to combine the recently developed structure theory for Einstein manifolds and multi-scale singularity analysis for degenerating nonlinear PDEs in the collapsed setting. Based on the algebraic degeneration, we will give precise and more quantitative descriptions of singularity formation from both metric and analytic points of view.<br />
<br />
=== Thomas Lam (Michigan) === <br />
<br />
Title: Positive geometries and string theory amplitudes<br />
<br />
Abstract: Inspired by developments in quantum field theory, we<br />
recently defined the notion of a positive geometry, a class of spaces<br />
that includes convex polytopes, positive parts of projective toric<br />
varieties, and positive parts of flag varieties. I will discuss some<br />
basic features of the theory and an application to genus zero string<br />
theory amplitudes. As a special case, we obtain the Euler beta<br />
function, familiar to mathematicians, as the "stringy canonical form"<br />
of the closed interval.<br />
<br />
This talk is based on joint work with Arkani-Hamed, Bai, and He.<br />
<br />
=== Peter Cholak (Notre Dame) ===<br />
<br />
Title: What can we compute from solutions to combinatorial problems?<br />
<br />
Abstract: This will be an introductory talk to an exciting current <br />
research area in mathematical logic. Mostly we are interested in <br />
solutions to Ramsey's Theorem. Ramsey's Theorem says for colorings <br />
C of pairs of natural numbers, there is an infinite set H such that <br />
all pairs from H have the same constant color. H is called a homogeneous <br />
set for C. What can we compute from H? If you are not sure, come to <br />
the talk and find out!<br />
<br />
=== Saulo Orizaga (Duke) ===<br />
<br />
Title: Introduction to phase field models and their efficient numerical implementation<br />
<br />
Abstract: In this talk we will provide an introduction to phase field models. We will focus in models<br />
related to the Cahn-Hilliard (CH) type of partial differential equation (PDE). We will discuss the<br />
challenges associated in solving such higher order parabolic problems. We will present several<br />
new numerical methods that are fast and efficient for solving CH or CH-extended type of problems.<br />
The new methods and their energy-stability properties will be discussed and tested with several computational examples commonly found in material science problems. If time allows, we will talk about more applications in which phase field models are useful and applicable.<br />
<br />
=== Caglar Uyanik (Yale) ===<br />
<br />
Title: Hausdorff dimension and gap distribution in billiards<br />
<br />
Abstract: A classical “unfolding” procedure allows one to turn questions about billiard trajectories in a Euclidean polygon into questions about the geodesic flow on a surface equipped with a certain geometric structure. Surprisingly, the flow on the surface is in turn related to the geodesic flow on the classical moduli spaces of Riemann surfaces. Building on recent breakthrough results of Eskin-Mirzakhani-Mohammadi, we prove a large deviations result for Birkhoff averages as well as generalize a classical theorem of Masur on geodesics in the moduli spaces of translation surfaces. <br />
<br />
=== Andy Zucker (Lyon) ===<br />
<br />
Title: Topological dynamics of countable groups and structures<br />
<br />
Abstract: We give an introduction to the abstract topological dynamics <br />
of topological groups, i.e. the study of the continuous actions of a <br />
topological group on a compact space. We are particularly interested <br />
in the minimal actions, those for which every orbit is dense. <br />
The study of minimal actions is aided by a classical theorem of Ellis, <br />
who proved that for any topological group G, there exists a universal <br />
minimal flow (UMF), a minimal G-action which factors onto every other <br />
minimal G-action. Here, we will focus on two classes of groups: <br />
a countable discrete group and the automorphism group of a countable <br />
first-order structure. In the case of a countable discrete group, <br />
Baire category methods can be used to show that the collection of <br />
minimal flows is quite rich and that the UMF is rather complicated. <br />
For an automorphism group G of a countable structure, combinatorial <br />
methods can be used to show that sometimes, the UMF is trivial, or <br />
equivalently that every continuous action of G on a compact space <br />
admits a global fixed point.<br />
<br />
=== Lillian Pierce (Duke) ===<br />
<br />
Title: On Bourgain’s counterexample for the Schrödinger maximal function<br />
<br />
Abstract: In 1980, Carleson asked a question in harmonic analysis: to which Sobolev space $H^s$ must an initial data function belong, for a pointwise a.e. convergence result to hold for the solution to the associated linear Schrödinger equation? Over the next decades, many people developed counterexamples to push the (necessary) range of s up, and positive results to push the (sufficient) range of s down. Now, these ranges are finally meeting: Bourgain’s 2016 counterexample showed s < n/(2(n+1)) fails, and Du and Zhang’s 2019 paper shows that s>n/(2(n+1)) suffices. <br />
In this talk, we will give an overview of how to rigorously derive Bourgain’s 2016 counterexample, based on simple facts from number theory. We will show how to build Bourgain’s counterexample starting from “zero knowledge," and how to gradually optimize the set-up to arrive at the final counterexample. The talk will be broadly accessible, particularly if we live up to the claim of starting from “zero knowledge.”<br />
<br />
=== Joe Kileel (Princeton) ===<br />
<br />
Title: Inverse Problems, Imaging and Tensor Decomposition<br />
<br />
Abstract: Perspectives from computational algebra and optimization are brought <br />
to bear on a scientific application and a data science application. <br />
In the first part of the talk, I will discuss cryo-electron microscopy <br />
(cryo-EM), an imaging technique to determine the 3-D shape of <br />
macromolecules from many noisy 2-D projections, recognized by the 2017 <br />
Chemistry Nobel Prize. Mathematically, cryo-EM presents a <br />
particularly rich inverse problem, with unknown orientations, extreme <br />
noise, big data and conformational heterogeneity. In particular, this <br />
motivates a general framework for statistical estimation under compact <br />
group actions, connecting information theory and group invariant <br />
theory. In the second part of the talk, I will discuss tensor rank <br />
decomposition, a higher-order variant of PCA broadly applicable in <br />
data science. A fast algorithm is introduced and analyzed, combining <br />
ideas of Sylvester and the power method.<br />
<br />
=== Cynthia Vinzant (NCSU) ===<br />
<br />
Title: Matroids, log-concavity, and expanders<br />
<br />
Abstract: Matroids are combinatorial objects that model various types of independence. They appear several fields mathematics, including graph theory, combinatorial optimization, and algebraic geometry. In this talk, I will introduce the theory of matroids along with the closely related class of polynomials called strongly log-concave polynomials. Strong log-concavity is a functional property of a real multivariate polynomial that translates to useful conditions on its coefficients. Discrete probability distributions defined by these coefficients inherit several of these nice properties. I will discuss the beautiful real and combinatorial geometry underlying these polynomials and describe applications to random walks on the faces of simplicial complexes. Consequences include proofs of Mason's conjecture that the sequence of numbers of independent sets of a matroid is ultra log-concave and the Mihail-Vazirani conjecture that the basis exchange graph of a matroid has expansion at least one. This is based on joint work with Nima Anari, Kuikui Liu, and Shayan Oveis Gharan.<br />
<br />
== Future Colloquia ==<br />
[[Colloquia/Fall 2020| Fall 2020]]<br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Spring2019|Spring 2019]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Colloquia&diff=18873Colloquia2020-02-03T17:48:23Z<p>Spagnolie: /* Spring 2020 */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
<br />
<br />
==Fall 2019==<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 6 '''Room 911'''<br />
| Will Sawin (Columbia)<br />
| [[#Will Sawin (Columbia) | On Chowla's Conjecture over F_q[T] ]]<br />
| Marshall<br />
|-<br />
|Sept 13<br />
| [https://www.math.ksu.edu/~soibel/ Yan Soibelman] (Kansas State)<br />
|[[#Yan Soibelman (Kansas State)| Riemann-Hilbert correspondence and Fukaya categories ]]<br />
| Caldararu<br />
|<br />
|-<br />
|Sept 16 '''Monday Room 911'''<br />
| [http://mate.dm.uba.ar/~alidick/ Alicia Dickenstein] (Buenos Aires)<br />
|[[#Alicia Dickenstein (Buenos Aires)| Algebra and geometry in the study of enzymatic cascades ]]<br />
| Craciun<br />
|<br />
|-<br />
|Sept 20<br />
| [https://math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|[[#Jianfeng Lu (Duke) | How to "localize" the computation?]]<br />
| Qin<br />
|<br />
|-<br />
|Sept 26 '''Thursday 3-4 pm Room 911'''<br />
| [http://eugeniacheng.com/ Eugenia Cheng] (School of the Art Institute of Chicago)<br />
| [[#Eugenia Cheng (School of the Art Institute of Chicago)| Character vs gender in mathematics and beyond ]]<br />
| Marshall / Friends of UW Madison Libraries<br />
|<br />
|-<br />
|Sept 27<br />
|<br />
|<br />
|-<br />
|Oct 4<br />
|<br />
|<br />
|-<br />
|Oct 11<br />
| Omer Mermelstein (Madison)<br />
| [[#Omer Mermelstein (Madison)| Generic flat pregeometries ]]<br />
|Andrews<br />
|<br />
|-<br />
|Oct 18<br />
| Shamgar Gurevich (Madison)<br />
| [[#Shamgar Gurevich (Madison) | Harmonic Analysis on GL(n) over Finite Fields ]]<br />
| Marshall<br />
|-<br />
|Oct 25<br />
|<br />
|-<br />
|Nov 1<br />
|Elchanan Mossel (MIT)<br />
|Distinguished Lecture<br />
|Roch<br />
|-<br />
|Nov 8<br />
|Jose Rodriguez (UW-Madison)<br />
|[[#Jose Rodriguez (UW-Madison) | Nearest Point Problems and Euclidean Distance Degrees]]<br />
|Erman<br />
|-<br />
|Nov 13 '''Wednesday 4-5pm'''<br />
|Ananth Shankar (MIT)<br />
|Exceptional splitting of abelian surfaces<br />
|-<br />
|Nov 20 '''Wednesday 4-5pm'''<br />
|Franca Hoffman (Caltech)<br />
|[[#Franca Hoffman (Caltech) | Gradient Flows: From PDE to Data Analysis]]<br />
|Smith<br />
|-<br />
|Nov 22<br />
| Jeffrey Danciger (UT Austin)<br />
| [[#Jeffrey Danciger (UT Austin) | "Affine geometry and the Auslander Conjecture"]]<br />
| Kent<br />
|-<br />
|Nov 25 '''Monday 4-5 pm Room 911'''<br />
|Tatyana Shcherbina (Princeton)<br />
| [[# Tatyana Shcherbina (Princeton)| "Random matrix theory and supersymmetry techniques"]]<br />
|Roch<br />
|-<br />
|Nov 29<br />
|Thanksgiving<br />
|<br />
|-<br />
|Dec 2 '''Monday 4-5pm'''<br />
|Tingran Gao (University of Chicago)<br />
| [[#Tingran Gao (University of Chicago)| "Manifold Learning on Fibre Bundles"]]<br />
|Smith<br />
|-<br />
|Dec 4 '''Wednesday 4-5 pm Room 911'''<br />
|Andrew Zimmer (LSU)<br />
|[[#Andrew Zimmer (LSU)| "Intrinsic and extrinsic geometries in several complex variables"]]<br />
|Gong<br />
|-<br />
|Dec 6<br />
|Charlotte Chan (MIT)<br />
|[[#Charlotte Chan (MIT)|"Flag varieties and representations of p-adic groups"]]<br />
|Erman<br />
|-<br />
|Dec 9 '''Monday 4-5 pm'''<br />
|Hui Yu (Columbia)<br />
|[[#Hui Yu (Columbia)|Singular sets in obstacle problems]]<br />
|Tran<br />
|-<br />
|Dec 11 '''Wednesday 2:30-3:30pm Room 911'''<br />
|Alex Waldron (Michigan)<br />
|[[#Alex Waldron (Michigan)|Gauge theory and geometric flows]]<br />
|Paul<br />
|-<br />
|Dec 11 '''Wednesday 4-5pm'''<br />
|Nick Higham (Manchester)<br />
|[[#Nick Higham (Manchester)|LAA lecture: Challenges in Multivalued Matrix Functions]]<br />
|Brualdi<br />
|-<br />
|Dec 13 <br />
|Chenxi Wu (Rutgers)<br />
|[[#Chenxi Wu (Rutgers)|Kazhdan's theorem on metric graphs]]<br />
|Ellenberg<br />
|-<br />
|Dec 18 '''Wednesday 4-5pm'''<br />
|Ruobing Zhang (Stony Brook)<br />
|[[#Ruobing Zhang (Stony Brook)|Geometry and analysis of degenerating Calabi-Yau manifolds]]<br />
|Paul<br />
|-<br />
|}<br />
<br />
==Spring 2020==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|<br />
|-<br />
|Jan 10<br />
|Thomas Lam (Michigan) <br />
|[[#Thomas Lam (Michigan) |Positive geometries and string theory amplitudes]]<br />
|Erman<br />
|-<br />
|Jan 21 '''Tuesday 4-5 pm in B139'''<br />
|[http://www.nd.edu/~cholak/ Peter Cholak] (Notre Dame) <br />
|[[#Peter Cholak (Notre Dame) |What can we compute from solutions to combinatorial problems?]]<br />
|Lempp<br />
|-<br />
|Jan 24<br />
|[https://math.duke.edu/people/saulo-orizaga Saulo Orizaga] (Duke)<br />
|[[#Saulo Orizaga (Duke) | Introduction to phase field models and their efficient numerical implementation ]]<br />
|<br />
|-<br />
|Jan 27 '''Monday 4-5 pm in 911'''<br />
|[https://math.yale.edu/people/caglar-uyanik Caglar Uyanik] (Yale)<br />
|[[#Caglar Uyanik (Yale) | Hausdorff dimension and gap distribution in billiards ]]<br />
|Ellenberg<br />
|-<br />
|Jan 29 '''Wednesday 4-5 pm'''<br />
|[https://ajzucker.wordpress.com/ Andy Zucker] (Lyon)<br />
|[[#Andy Zucker (Lyon) |Topological dynamics of countable groups and structures]]<br />
|Soskova/Lempp<br />
|-<br />
|Jan 31 <br />
|[https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke)<br />
|[[#Lillian Pierce (Duke) |On Bourgain’s counterexample for the Schrödinger maximal function]]<br />
|Marshall/Seeger<br />
|-<br />
|Feb 7<br />
|[https://web.math.princeton.edu/~jkileel/ Joe Kileel] (Princeton)<br />
|[[#Joe Kileel (Princeton) |Inverse Problems, Imaging and Tensor Decomposition]]<br />
|Roch<br />
|-<br />
|Feb 10<br />
|[https://clvinzan.math.ncsu.edu/ Cynthia Vinzant] (NCSU)<br />
|[[#Cynthia Vinzant (NCSU) |Matroids, log-concavity, and expanders]]<br />
|Roch/Erman<br />
|-<br />
|Feb 12 '''Wednesday 4-5 pm in VV 911'''<br />
|[https://www.machuang.org/ Jinzi Mac Huang] (UCSD)<br />
|[[#Jinzi Mac Huang (UCSD) |Math in the lab: mass transfer through fluid-structure interactions]]<br />
|Spagnolie<br />
|-<br />
|Feb 14<br />
|Reserved for job talk<br />
|<br />
|-<br />
|Feb 21<br />
|Shai Evra (IAS)<br />
|<br />
|Gurevich<br />
|<br />
|-<br />
|Feb 28<br />
|Brett Wick (Washington University, St. Louis)<br />
|<br />
|Seeger<br />
|-<br />
|March 6<br />
| Jessica Fintzen (Michigan)<br />
|<br />
|Marshall<br />
|-<br />
|March 13<br />
|<br />
|-<br />
|March 20<br />
|Spring break<br />
|<br />
|-<br />
|March 27<br />
|(Moduli Spaces Conference)<br />
|<br />
|Boggess, Sankar<br />
|-<br />
|April 3<br />
|Caroline Turnage-Butterbaugh (Carleton College)<br />
|<br />
|Marshall<br />
|-<br />
|April 10<br />
| Sarah Koch (Michigan)<br />
|<br />
| Bruce (WIMAW)<br />
|-<br />
|April 17<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|Martin Hairer (Imperial College London)<br />
|Wolfgang Wasow Lecture<br />
|Hao Shen<br />
|-<br />
|April 24<br />
|Natasa Sesum (Rutgers University)<br />
|<br />
|Angenent<br />
|-<br />
|May 1<br />
|Robert Lazarsfeld (Stony Brook)<br />
|Distinguished lecture<br />
|Erman<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
<br />
===Will Sawin (Columbia)===<br />
<br />
Title: On Chowla's Conjecture over F_q[T]<br />
<br />
Abstract: The Mobius function in number theory is a sequences of 1s, <br />
-1s, and 0s, which is simple to define and closely related to the <br />
prime numbers. Its behavior seems highly random. Chowla's conjecture <br />
is one precise formalization of this randomness, and has seen recent <br />
work by Matomaki, Radziwill, Tao, and Teravainen making progress on <br />
it. In joint work with Mark Shusterman, we modify this conjecture by <br />
replacing the natural numbers parameterizing this sequence with <br />
polynomials over a finite field. Under mild conditions on the finite <br />
field, we are able to prove a strong form of this conjecture. The <br />
proof is based on taking a geometric perspective on the problem, and <br />
succeeds because we are able to simplify the geometry using a trick <br />
based on the strange properties of polynomial derivatives over finite <br />
fields.<br />
<br />
<br />
===Yan Soibelman (Kansas State)===<br />
<br />
Title: Riemann-Hilbert correspondence and Fukaya categories<br />
<br />
Abstract: In this talk I am going to discuss the role of Fukaya categories in the Riemann-Hilbert correspondence<br />
for differential, q-difference and elliptic difference equations in dimension one.<br />
This approach not only gives a unified answer for several versions of the Riemann-Hilbert correspondence but also leads to a natural formulation<br />
of the non-abelian Hodge theory in dimension one. It also explains why periodic monopoles<br />
should appear as harmonic objects in this generalized non-abelian Hodge theory.<br />
All that is a part of the bigger project ``Holomorphic Floer theory",<br />
joint with Maxim Kontsevich.<br />
<br />
<br />
===Alicia Dickenstein (Buenos Aires)===<br />
<br />
Title: Algebra and geometry in the study of enzymatic cascades<br />
<br />
Abstract: In recent years, techniques from computational and real algebraic geometry have been successfully used to address mathematical challenges in systems biology. The algebraic theory of chemical reaction systems aims to understand their dynamic behavior by taking advantage of the inherent algebraic structure in the kinetic equations, and does not need the determination of the parameters a priori, which can be theoretically or practically impossible.<br />
I will give a gentle introduction to general results based on the network structure. In particular, I will describe a general framework for biological systems, called MESSI systems, that describe Modifications of type Enzyme-Substrate or Swap with Intermediates, and include many networks that model post-translational modifications of proteins inside the cell. I will also outline recent methods to address the important question of multistationarity, in particular in the study of enzymatic cascades, and will point out some of the mathematical challenges that arise from this application.<br />
<br />
<br />
=== Jianfeng Lu (Duke) ===<br />
Title: How to ``localize" the computation?<br />
<br />
It is often desirable to restrict the numerical computation to a local region to achieve best balance between accuracy and affordability in scientific computing. It is important to avoid artifacts and guarantee predictable modelling while artificial boundary conditions have to be introduced to restrict the computation. In this talk, we will discuss some recent understanding on how to achieve such local computation in the context of topological edge states and elliptic random media.<br />
<br />
<br />
===Eugenia Cheng (School of the Art Institute of Chicago)===<br />
<br />
Title: Character vs gender in mathematics and beyond<br />
<br />
Abstract: This presentation will be based on my experience of being a female mathematician, and teaching mathematics at all levels from elementary school to grad school. The question of why women are under-represented in mathematics is complex and there are no simple answers, only many many contributing factors. I will focus on character traits, and argue that if we focus on this rather than gender we can have a more productive and less divisive conversation. To try and focus on characters rather than genders I will introduce gender-neutral character adjectives "ingressive" and "congressive" to replace masculine and feminine. I will share my experience of teaching congressive abstract mathematics to art students, in a congressive way, and the possible effects this could have for everyone in mathematics, not just women.<br />
<br />
<br />
===Omer Mermelstein (Madison)===<br />
<br />
Title: Generic flat pregeometries<br />
<br />
Abstract: In model theory, the tamest of structures are the strongly minimal ones -- those in which every equation in a single variable has either finitely many or cofinitely many solution. Algebraically closed fields and vector spaces are the canonical examples. Zilber’s conjecture, later refuted by Hrushovski, states that the source of geometric complexity in a strongly minimal structure must be algebraic. The property of "flatness" (strict gammoid) of a geometry (matroid) is that which guarantees Hrushovski's construction is devoid of any associative structure.<br />
The majority of the talk will explain what flatness is, how it should be thought of, and how closely it relates to hypergraphs and Hrushovski's construction method. Model theory makes an appearance only in the second part, where I will share results pertaining to the specific family of geometries arising from Hrushovski's methods.<br />
<br />
<br />
===Shamgar Gurevich (Madison)===<br />
<br />
Title: Harmonic Analysis on GL(n) over Finite Fields.<br />
<br />
Abstract: There are many formulas that express interesting properties of a finite group G in terms of sums over its characters. For evaluating or estimating these sums, one of the most salient quantities to understand is the character ratio:<br />
<br />
trace(ρ(g)) / dim(ρ),<br />
<br />
for an irreducible representation ρ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of the mentioned type for analyzing certain random walks on G.<br />
<br />
Recently, we discovered that for classical groups G over finite fields there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant rank. <br />
<br />
This talk will discuss the notion of rank for the group GLn over finite fields, demonstrate how it controls the character ratio, and explain how one can apply the results to verify mixing time and rate for certain random walks.<br />
<br />
This is joint work with Roger Howe (Yale and Texas AM). The numerics for this work was carried by Steve Goldstein (Madison)<br />
<br />
<br />
===Jose Rodriguez (UW-Madison)===<br />
<br />
Abstract: Determining the closest point to a model (subset of Euclidean space) is an important problem in many applications in science,<br />
engineering, and statistics. One way to solve this problem is by minimizing the squared Euclidean distance function using a gradient<br />
descent approach. However, when there are multiple local minima, there is no guarantee of convergence to the true global minimizer.<br />
An alternative method is to determine the critical points of an objective function on the model.<br />
In algebraic statistics, the models of interest are algebraic sets, i.e., solution sets to a system of multivariate polynomial equations. In this situation, the number of critical points of the squared Euclidean distance function on the model’s Zariski closure is a topological invariant called the Euclidean distance degree (ED degree).<br />
In this talk, I will present some models from computer vision and statistics that may be described as algebraic sets. Moreover,<br />
I will describe a topological method for determining a Euclidean distance degree and a numerical algebraic geometry approach for<br />
determining critical points of the squared Euclidean distance function.<br />
<br />
<br />
===Ananth Shankar (MIT)===<br />
<br />
Abstract: An abelian surface 'splits' if it admits a non-trivial map to some elliptic curve. It is well known that the set of abelian surfaces that split are sparse in the set of all abelian surfaces. Nevertheless, we prove that there are infinitely many split abelian surfaces in arithmetic one-parameter families of generically non-split abelian surfaces. I will describe this work, and if time permits, mention generalizations of this result to the setting of K3 surfaces, as well as applications to the dynamics of hecke orbits. This is joint work with Tang, Maulik-Tang, and Shankar-Tang-Tayou.<br />
<br />
<br />
===Franca Hoffman (Caltech)===<br />
<br />
Title: Gradient Flows: From PDE to Data Analysis.<br />
<br />
Abstract: Certain diffusive PDEs can be viewed as infinite-dimensional gradient flows. This fact has led to the development of new tools in various areas of mathematics ranging from PDE theory to data science. In this talk, we focus on two different directions: model-driven approaches and data-driven approaches.<br />
In the first part of the talk we use gradient flows for analyzing non-linear and non-local aggregation-diffusion equations when the corresponding energy functionals are not necessarily convex. Moreover, the gradient flow structure enables us to make connections to well-known functional inequalities, revealing possible links between the optimizers of these inequalities and the equilibria of certain aggregation-diffusion PDEs.<br />
In the second part, we use and develop gradient flow theory to design novel tools for data analysis. We draw a connection between gradient flows and Ensemble Kalman methods for parameter estimation. We introduce the Ensemble Kalman Sampler - a derivative-free methodology for model calibration and uncertainty quantification in expensive black-box models. The interacting particle dynamics underlying our algorithm can be approximated by a novel gradient flow structure in a modified Wasserstein metric which reflects particle correlations. The geometry of this modified Wasserstein metric is of independent theoretical interest.<br />
<br />
<br />
=== Jeffrey Danciger (UT Austin) ===<br />
<br />
Title: Affine geometry and the Auslander Conjecture<br />
<br />
Abstract: The Auslander Conjecture is an analogue of Bieberbach’s theory of Euclidean crystallographic groups in the setting of affine geometry. It predicts that a complete affine manifold (a manifold equipped with a complete torsion-free flat affine connection) which is compact must have virtually solvable fundamental group. The conjecture is known up to dimension six, but is known to fail if the compactness assumption is removed, even in low dimensions. We discuss some history of this conjecture, give some basic examples, and then survey some recent advances in the study of non-compact complete affine manifolds with non-solvable fundamental group. <br />
Tools from the deformation theory of pseudo-Riemannian hyperbolic manifolds and also from higher Teichm&uuml;ller theory will enter the picture.<br />
<br />
<br />
=== Tatyana Shcherbina (Princeton) ===<br />
<br />
Title: Random matrix theory and supersymmetry techniques<br />
<br />
Abstract: Starting from the works of Erdos, Yau, Schlein with coauthors, the significant progress in understanding the universal behavior of many random graph and random matrix models were achieved. However for the random matrices with a special structure our understanding is still very limited. In this talk I am going to overview applications of another approach to the study of the local eigenvalues statistics in random matrix theory based on so-called supersymmetry techniques (SUSY). SUSY approach is based on the representation of the determinant as an integral over the Grassmann (anticommuting) variables. Combining this representation with the representation of an inverse determinant as an integral over the Gaussian complex field, SUSY allows to obtain an integral representation for the main spectral characteristics of random matrices such as limiting density, correlation functions, the resolvent's elements, etc. This method is widely (and successfully) used in the physics literature and is potentially very powerful but the rigorous control of the integral representations, which can be obtained by this method, is quite difficult, and it requires powerful analytic and statistical mechanics tools. In this talk we will discuss some recent progress in application of SUSY to the analysis of local spectral characteristics of the prominent ensemble of random band matrices, i.e. random matrices<br />
whose entries become negligible if their distance from the main diagonal exceeds a certain parameter called the band width. <br />
<br />
<br />
=== Tingran Gao (University of Chicago) ===<br />
<br />
Title: Manifold Learning on Fibre Bundles<br />
<br />
Abstract: Spectral geometry has played an important role in modern geometric data analysis, where the technique is widely known as Laplacian eigenmaps or diffusion maps. In this talk, we present a geometric framework that studies graph representations of complex datasets, where each edge of the graph is equipped with a non-scalar transformation or correspondence. This new framework models such a dataset as a fibre bundle with a connection, and interprets the collection of pairwise functional relations as defining a horizontal diffusion process on the bundle driven by its projection on the base. The eigenstates of this horizontal diffusion process encode the “consistency” among objects in the dataset, and provide a lens through which the geometry of the dataset can be revealed. We demonstrate an application of this geometric framework on evolutionary anthropology.<br />
<br />
<br />
=== Andrew Zimmer (LSU) ===<br />
<br />
Title: Intrinsic and extrinsic geometries in several complex variables<br />
<br />
Abstract: A bounded domain in complex Euclidean space, despite being one of the simplest types of manifolds, has a number of interesting geometric structures. When the domain is pseudoconvex, it has a natural intrinsic geometry: the complete Kaehler-Einstein metric constructed by Cheng-Yau and Mok-Yau. When the domain is smoothly bounded, there is also a natural extrinsic structure: the CR-geometry of the boundary. In this talk, I will describe connections between these intrinsic and extrinsic geometries. Then, I will discuss how these connections can lead to new analytic results.<br />
<br />
=== Charlotte Chan (MIT) ===<br />
<br />
Title: Flag varieties and representations of p-adic groups<br />
<br />
Abstract: In the 1950s, Borel, Weil, and Bott showed that the<br />
irreducible representations of a complex reductive group can be<br />
realized in the cohomology of line bundles on flag varieties. In the<br />
1970s, Deligne and Lusztig constructed a family of subvarieties of<br />
flag varieties whose cohomology realizes the irreducible<br />
representations of reductive groups over finite fields. I will survey<br />
these stories, explain recent progress towards finding geometric<br />
constructions of representations of p-adic groups, and discuss<br />
interactions with the Langlands program.<br />
<br />
=== Hui Yu (Columbia) ===<br />
<br />
Title: Singular sets in obstacle problems<br />
<br />
Abstract: One of the most important free boundary problems is the obstacle problem. The regularity of its free boundary has been studied for over half a century. In this talk, we review some classical results as well as exciting new developments. In particular, we discuss the recent resolution of the regularity of the singular set for the fully nonlinear obstacle problem. This talk is based on a joint work with Ovidiu Savin at Columbia University.<br />
<br />
=== Alex Waldron (Michigan) ===<br />
<br />
Title: Gauge theory and geometric flows<br />
<br />
Abstract: I will give a brief introduction to two major areas of research in differential geometry: gauge theory and geometric flows. I'll then introduce a geometric flow (Yang-Mills flow) arising from a variational problem with origins in physics, which has been studied by geometric analysts since the early 1980s. I'll conclude by discussing my own work on the behavior of Yang-Mills flow in the critical dimension (n = 4).<br />
<br />
=== Nick Higham (Manchester) ===<br />
<br />
Title: Challenges in Multivalued Matrix Functions<br />
<br />
Abstract: In this lecture I will discuss multivalued matrix functions that arise in solving various kinds of matrix equations. The matrix logarithm is the prototypical example, and my first interaction with Hans Schneider was about this function. Another example is the Lambert W function of a matrix, which is much less well known but has been attracting recent interest. A theme of the talk is the importance of choosing appropriate principal values and making sure that the correct choices of signs and branches are used,<br />
both in theory and in computation. I will give examples where incorrect results have previously been obtained.<br />
<br />
I focus on matrix inverse trigonometric and inverse hyperbolic functions, beginning by investigating existence and characterization. Turning to the principal values, various functional identities are derived, some of which are new even in the scalar case, including a “round trip” formula that relates acos(cos A) to A and similar formulas for the other inverse functions. Key tools used in the derivations are the matrix unwinding function and the matrix sign function.<br />
<br />
A new inverse scaling and squaring type algorithm employing a Schur decomposition and variable-degree Pade approximation is derived for computing acos, and it is shown how it can also be used to compute asin, acosh, and asinh.<br />
<br />
=== Chenxi Wu (Rutgers) ===<br />
<br />
Title: Kazhdan's theorem on metric graphs<br />
<br />
Abstract: I will give an introduction to the concept of canonical (arakelov) metric on a metric graph, which is related to combinatorial questions like the counting of spanning trees, and generalizes the corresponding concept on Riemann surfaces. I will also present a recent result in collaboration with Farbod Shokrieh on the convergence of canonical metric under normal covers.<br />
<br />
=== Ruobing Zhang (Stony Brook) ===<br />
<br />
Title: Geometry and analysis of degenerating Calabi-Yau manifolds<br />
<br />
Abstract: This talk concerns a naturally occurring family of degenerating Calabi-Yau manifolds. A primary tool in analyzing their behavior is to combine the recently developed structure theory for Einstein manifolds and multi-scale singularity analysis for degenerating nonlinear PDEs in the collapsed setting. Based on the algebraic degeneration, we will give precise and more quantitative descriptions of singularity formation from both metric and analytic points of view.<br />
<br />
=== Thomas Lam (Michigan) === <br />
<br />
Title: Positive geometries and string theory amplitudes<br />
<br />
Abstract: Inspired by developments in quantum field theory, we<br />
recently defined the notion of a positive geometry, a class of spaces<br />
that includes convex polytopes, positive parts of projective toric<br />
varieties, and positive parts of flag varieties. I will discuss some<br />
basic features of the theory and an application to genus zero string<br />
theory amplitudes. As a special case, we obtain the Euler beta<br />
function, familiar to mathematicians, as the "stringy canonical form"<br />
of the closed interval.<br />
<br />
This talk is based on joint work with Arkani-Hamed, Bai, and He.<br />
<br />
=== Peter Cholak (Notre Dame) ===<br />
<br />
Title: What can we compute from solutions to combinatorial problems?<br />
<br />
Abstract: This will be an introductory talk to an exciting current <br />
research area in mathematical logic. Mostly we are interested in <br />
solutions to Ramsey's Theorem. Ramsey's Theorem says for colorings <br />
C of pairs of natural numbers, there is an infinite set H such that <br />
all pairs from H have the same constant color. H is called a homogeneous <br />
set for C. What can we compute from H? If you are not sure, come to <br />
the talk and find out!<br />
<br />
=== Saulo Orizaga (Duke) ===<br />
<br />
Title: Introduction to phase field models and their efficient numerical implementation<br />
<br />
Abstract: In this talk we will provide an introduction to phase field models. We will focus in models<br />
related to the Cahn-Hilliard (CH) type of partial differential equation (PDE). We will discuss the<br />
challenges associated in solving such higher order parabolic problems. We will present several<br />
new numerical methods that are fast and efficient for solving CH or CH-extended type of problems.<br />
The new methods and their energy-stability properties will be discussed and tested with several computational examples commonly found in material science problems. If time allows, we will talk about more applications in which phase field models are useful and applicable.<br />
<br />
=== Caglar Uyanik (Yale) ===<br />
<br />
Title: Hausdorff dimension and gap distribution in billiards<br />
<br />
Abstract: A classical “unfolding” procedure allows one to turn questions about billiard trajectories in a Euclidean polygon into questions about the geodesic flow on a surface equipped with a certain geometric structure. Surprisingly, the flow on the surface is in turn related to the geodesic flow on the classical moduli spaces of Riemann surfaces. Building on recent breakthrough results of Eskin-Mirzakhani-Mohammadi, we prove a large deviations result for Birkhoff averages as well as generalize a classical theorem of Masur on geodesics in the moduli spaces of translation surfaces. <br />
<br />
=== Andy Zucker (Lyon) ===<br />
<br />
Title: Topological dynamics of countable groups and structures<br />
<br />
Abstract: We give an introduction to the abstract topological dynamics <br />
of topological groups, i.e. the study of the continuous actions of a <br />
topological group on a compact space. We are particularly interested <br />
in the minimal actions, those for which every orbit is dense. <br />
The study of minimal actions is aided by a classical theorem of Ellis, <br />
who proved that for any topological group G, there exists a universal <br />
minimal flow (UMF), a minimal G-action which factors onto every other <br />
minimal G-action. Here, we will focus on two classes of groups: <br />
a countable discrete group and the automorphism group of a countable <br />
first-order structure. In the case of a countable discrete group, <br />
Baire category methods can be used to show that the collection of <br />
minimal flows is quite rich and that the UMF is rather complicated. <br />
For an automorphism group G of a countable structure, combinatorial <br />
methods can be used to show that sometimes, the UMF is trivial, or <br />
equivalently that every continuous action of G on a compact space <br />
admits a global fixed point.<br />
<br />
=== Lillian Pierce (Duke) ===<br />
<br />
Title: On Bourgain’s counterexample for the Schrödinger maximal function<br />
<br />
Abstract: In 1980, Carleson asked a question in harmonic analysis: to which Sobolev space $H^s$ must an initial data function belong, for a pointwise a.e. convergence result to hold for the solution to the associated linear Schrödinger equation? Over the next decades, many people developed counterexamples to push the (necessary) range of s up, and positive results to push the (sufficient) range of s down. Now, these ranges are finally meeting: Bourgain’s 2016 counterexample showed s < n/(2(n+1)) fails, and Du and Zhang’s 2019 paper shows that s>n/(2(n+1)) suffices. <br />
In this talk, we will give an overview of how to rigorously derive Bourgain’s 2016 counterexample, based on simple facts from number theory. We will show how to build Bourgain’s counterexample starting from “zero knowledge," and how to gradually optimize the set-up to arrive at the final counterexample. The talk will be broadly accessible, particularly if we live up to the claim of starting from “zero knowledge.”<br />
<br />
=== Joe Kileel (Princeton) ===<br />
<br />
Title: Inverse Problems, Imaging and Tensor Decomposition<br />
<br />
Abstract: Perspectives from computational algebra and optimization are brought <br />
to bear on a scientific application and a data science application. <br />
In the first part of the talk, I will discuss cryo-electron microscopy <br />
(cryo-EM), an imaging technique to determine the 3-D shape of <br />
macromolecules from many noisy 2-D projections, recognized by the 2017 <br />
Chemistry Nobel Prize. Mathematically, cryo-EM presents a <br />
particularly rich inverse problem, with unknown orientations, extreme <br />
noise, big data and conformational heterogeneity. In particular, this <br />
motivates a general framework for statistical estimation under compact <br />
group actions, connecting information theory and group invariant <br />
theory. In the second part of the talk, I will discuss tensor rank <br />
decomposition, a higher-order variant of PCA broadly applicable in <br />
data science. A fast algorithm is introduced and analyzed, combining <br />
ideas of Sylvester and the power method.<br />
<br />
=== Cynthia Vinzant (NCSU) ===<br />
<br />
Title: Matroids, log-concavity, and expanders<br />
<br />
Abstract: Matroids are combinatorial objects that model various types of independence. They appear several fields mathematics, including graph theory, combinatorial optimization, and algebraic geometry. In this talk, I will introduce the theory of matroids along with the closely related class of polynomials called strongly log-concave polynomials. Strong log-concavity is a functional property of a real multivariate polynomial that translates to useful conditions on its coefficients. Discrete probability distributions defined by these coefficients inherit several of these nice properties. I will discuss the beautiful real and combinatorial geometry underlying these polynomials and describe applications to random walks on the faces of simplicial complexes. Consequences include proofs of Mason's conjecture that the sequence of numbers of independent sets of a matroid is ultra log-concave and the Mihail-Vazirani conjecture that the basis exchange graph of a matroid has expansion at least one. This is based on joint work with Nima Anari, Kuikui Liu, and Shayan Oveis Gharan.<br />
<br />
== Future Colloquia ==<br />
[[Colloquia/Fall 2020| Fall 2020]]<br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Spring2019|Spring 2019]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Colloquia&diff=18872Colloquia2020-02-03T17:32:48Z<p>Spagnolie: /* Spring 2020 */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
<br />
<br />
==Fall 2019==<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 6 '''Room 911'''<br />
| Will Sawin (Columbia)<br />
| [[#Will Sawin (Columbia) | On Chowla's Conjecture over F_q[T] ]]<br />
| Marshall<br />
|-<br />
|Sept 13<br />
| [https://www.math.ksu.edu/~soibel/ Yan Soibelman] (Kansas State)<br />
|[[#Yan Soibelman (Kansas State)| Riemann-Hilbert correspondence and Fukaya categories ]]<br />
| Caldararu<br />
|<br />
|-<br />
|Sept 16 '''Monday Room 911'''<br />
| [http://mate.dm.uba.ar/~alidick/ Alicia Dickenstein] (Buenos Aires)<br />
|[[#Alicia Dickenstein (Buenos Aires)| Algebra and geometry in the study of enzymatic cascades ]]<br />
| Craciun<br />
|<br />
|-<br />
|Sept 20<br />
| [https://math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|[[#Jianfeng Lu (Duke) | How to "localize" the computation?]]<br />
| Qin<br />
|<br />
|-<br />
|Sept 26 '''Thursday 3-4 pm Room 911'''<br />
| [http://eugeniacheng.com/ Eugenia Cheng] (School of the Art Institute of Chicago)<br />
| [[#Eugenia Cheng (School of the Art Institute of Chicago)| Character vs gender in mathematics and beyond ]]<br />
| Marshall / Friends of UW Madison Libraries<br />
|<br />
|-<br />
|Sept 27<br />
|<br />
|<br />
|-<br />
|Oct 4<br />
|<br />
|<br />
|-<br />
|Oct 11<br />
| Omer Mermelstein (Madison)<br />
| [[#Omer Mermelstein (Madison)| Generic flat pregeometries ]]<br />
|Andrews<br />
|<br />
|-<br />
|Oct 18<br />
| Shamgar Gurevich (Madison)<br />
| [[#Shamgar Gurevich (Madison) | Harmonic Analysis on GL(n) over Finite Fields ]]<br />
| Marshall<br />
|-<br />
|Oct 25<br />
|<br />
|-<br />
|Nov 1<br />
|Elchanan Mossel (MIT)<br />
|Distinguished Lecture<br />
|Roch<br />
|-<br />
|Nov 8<br />
|Jose Rodriguez (UW-Madison)<br />
|[[#Jose Rodriguez (UW-Madison) | Nearest Point Problems and Euclidean Distance Degrees]]<br />
|Erman<br />
|-<br />
|Nov 13 '''Wednesday 4-5pm'''<br />
|Ananth Shankar (MIT)<br />
|Exceptional splitting of abelian surfaces<br />
|-<br />
|Nov 20 '''Wednesday 4-5pm'''<br />
|Franca Hoffman (Caltech)<br />
|[[#Franca Hoffman (Caltech) | Gradient Flows: From PDE to Data Analysis]]<br />
|Smith<br />
|-<br />
|Nov 22<br />
| Jeffrey Danciger (UT Austin)<br />
| [[#Jeffrey Danciger (UT Austin) | "Affine geometry and the Auslander Conjecture"]]<br />
| Kent<br />
|-<br />
|Nov 25 '''Monday 4-5 pm Room 911'''<br />
|Tatyana Shcherbina (Princeton)<br />
| [[# Tatyana Shcherbina (Princeton)| "Random matrix theory and supersymmetry techniques"]]<br />
|Roch<br />
|-<br />
|Nov 29<br />
|Thanksgiving<br />
|<br />
|-<br />
|Dec 2 '''Monday 4-5pm'''<br />
|Tingran Gao (University of Chicago)<br />
| [[#Tingran Gao (University of Chicago)| "Manifold Learning on Fibre Bundles"]]<br />
|Smith<br />
|-<br />
|Dec 4 '''Wednesday 4-5 pm Room 911'''<br />
|Andrew Zimmer (LSU)<br />
|[[#Andrew Zimmer (LSU)| "Intrinsic and extrinsic geometries in several complex variables"]]<br />
|Gong<br />
|-<br />
|Dec 6<br />
|Charlotte Chan (MIT)<br />
|[[#Charlotte Chan (MIT)|"Flag varieties and representations of p-adic groups"]]<br />
|Erman<br />
|-<br />
|Dec 9 '''Monday 4-5 pm'''<br />
|Hui Yu (Columbia)<br />
|[[#Hui Yu (Columbia)|Singular sets in obstacle problems]]<br />
|Tran<br />
|-<br />
|Dec 11 '''Wednesday 2:30-3:30pm Room 911'''<br />
|Alex Waldron (Michigan)<br />
|[[#Alex Waldron (Michigan)|Gauge theory and geometric flows]]<br />
|Paul<br />
|-<br />
|Dec 11 '''Wednesday 4-5pm'''<br />
|Nick Higham (Manchester)<br />
|[[#Nick Higham (Manchester)|LAA lecture: Challenges in Multivalued Matrix Functions]]<br />
|Brualdi<br />
|-<br />
|Dec 13 <br />
|Chenxi Wu (Rutgers)<br />
|[[#Chenxi Wu (Rutgers)|Kazhdan's theorem on metric graphs]]<br />
|Ellenberg<br />
|-<br />
|Dec 18 '''Wednesday 4-5pm'''<br />
|Ruobing Zhang (Stony Brook)<br />
|[[#Ruobing Zhang (Stony Brook)|Geometry and analysis of degenerating Calabi-Yau manifolds]]<br />
|Paul<br />
|-<br />
|}<br />
<br />
==Spring 2020==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|<br />
|-<br />
|Jan 10<br />
|Thomas Lam (Michigan) <br />
|[[#Thomas Lam (Michigan) |Positive geometries and string theory amplitudes]]<br />
|Erman<br />
|-<br />
|Jan 21 '''Tuesday 4-5 pm in B139'''<br />
|[http://www.nd.edu/~cholak/ Peter Cholak] (Notre Dame) <br />
|[[#Peter Cholak (Notre Dame) |What can we compute from solutions to combinatorial problems?]]<br />
|Lempp<br />
|-<br />
|Jan 24<br />
|[https://math.duke.edu/people/saulo-orizaga Saulo Orizaga] (Duke)<br />
|[[#Saulo Orizaga (Duke) | Introduction to phase field models and their efficient numerical implementation ]]<br />
|<br />
|-<br />
|Jan 27 '''Monday 4-5 pm in 911'''<br />
|[https://math.yale.edu/people/caglar-uyanik Caglar Uyanik] (Yale)<br />
|[[#Caglar Uyanik (Yale) | Hausdorff dimension and gap distribution in billiards ]]<br />
|Ellenberg<br />
|-<br />
|Jan 29 '''Wednesday 4-5 pm'''<br />
|[https://ajzucker.wordpress.com/ Andy Zucker] (Lyon)<br />
|[[#Andy Zucker (Lyon) |Topological dynamics of countable groups and structures]]<br />
|Soskova/Lempp<br />
|-<br />
|Jan 31 <br />
|[https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke)<br />
|[[#Lillian Pierce (Duke) |On Bourgain’s counterexample for the Schrödinger maximal function]]<br />
|Marshall/Seeger<br />
|-<br />
|Feb 7<br />
|[https://web.math.princeton.edu/~jkileel/ Joe Kileel] (Princeton)<br />
|[[#Joe Kileel (Princeton) |Inverse Problems, Imaging and Tensor Decomposition]]<br />
|Roch<br />
|-<br />
|Feb 10<br />
|[https://clvinzan.math.ncsu.edu/ Cynthia Vinzant] (NCSU)<br />
|[[#Cynthia Vinzant (NCSU) |Matroids, log-concavity, and expanders]]<br />
|Roch/Erman<br />
|-<br />
|Feb 12 '''Wednesday 4-5 pm'''<br />
|[https://www.machuang.org/ Jinzi Mac Huang] (UCSD)<br />
|[[#Jinzi Mac Huang (UCSD) |Math in the lab: mass transfer through fluid-structure interactions]]<br />
|Spagnolie<br />
|-<br />
|Feb 14<br />
|Reserved for job talk<br />
|<br />
|-<br />
|Feb 21<br />
|Shai Evra (IAS)<br />
|<br />
|Gurevich<br />
|<br />
|-<br />
|Feb 28<br />
|Brett Wick (Washington University, St. Louis)<br />
|<br />
|Seeger<br />
|-<br />
|March 6<br />
| Jessica Fintzen (Michigan)<br />
|<br />
|Marshall<br />
|-<br />
|March 13<br />
|<br />
|-<br />
|March 20<br />
|Spring break<br />
|<br />
|-<br />
|March 27<br />
|(Moduli Spaces Conference)<br />
|<br />
|Boggess, Sankar<br />
|-<br />
|April 3<br />
|Caroline Turnage-Butterbaugh (Carleton College)<br />
|<br />
|Marshall<br />
|-<br />
|April 10<br />
| Sarah Koch (Michigan)<br />
|<br />
| Bruce (WIMAW)<br />
|-<br />
|April 17<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|Martin Hairer (Imperial College London)<br />
|Wolfgang Wasow Lecture<br />
|Hao Shen<br />
|-<br />
|April 24<br />
|Natasa Sesum (Rutgers University)<br />
|<br />
|Angenent<br />
|-<br />
|May 1<br />
|Robert Lazarsfeld (Stony Brook)<br />
|Distinguished lecture<br />
|Erman<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
<br />
===Will Sawin (Columbia)===<br />
<br />
Title: On Chowla's Conjecture over F_q[T]<br />
<br />
Abstract: The Mobius function in number theory is a sequences of 1s, <br />
-1s, and 0s, which is simple to define and closely related to the <br />
prime numbers. Its behavior seems highly random. Chowla's conjecture <br />
is one precise formalization of this randomness, and has seen recent <br />
work by Matomaki, Radziwill, Tao, and Teravainen making progress on <br />
it. In joint work with Mark Shusterman, we modify this conjecture by <br />
replacing the natural numbers parameterizing this sequence with <br />
polynomials over a finite field. Under mild conditions on the finite <br />
field, we are able to prove a strong form of this conjecture. The <br />
proof is based on taking a geometric perspective on the problem, and <br />
succeeds because we are able to simplify the geometry using a trick <br />
based on the strange properties of polynomial derivatives over finite <br />
fields.<br />
<br />
<br />
===Yan Soibelman (Kansas State)===<br />
<br />
Title: Riemann-Hilbert correspondence and Fukaya categories<br />
<br />
Abstract: In this talk I am going to discuss the role of Fukaya categories in the Riemann-Hilbert correspondence<br />
for differential, q-difference and elliptic difference equations in dimension one.<br />
This approach not only gives a unified answer for several versions of the Riemann-Hilbert correspondence but also leads to a natural formulation<br />
of the non-abelian Hodge theory in dimension one. It also explains why periodic monopoles<br />
should appear as harmonic objects in this generalized non-abelian Hodge theory.<br />
All that is a part of the bigger project ``Holomorphic Floer theory",<br />
joint with Maxim Kontsevich.<br />
<br />
<br />
===Alicia Dickenstein (Buenos Aires)===<br />
<br />
Title: Algebra and geometry in the study of enzymatic cascades<br />
<br />
Abstract: In recent years, techniques from computational and real algebraic geometry have been successfully used to address mathematical challenges in systems biology. The algebraic theory of chemical reaction systems aims to understand their dynamic behavior by taking advantage of the inherent algebraic structure in the kinetic equations, and does not need the determination of the parameters a priori, which can be theoretically or practically impossible.<br />
I will give a gentle introduction to general results based on the network structure. In particular, I will describe a general framework for biological systems, called MESSI systems, that describe Modifications of type Enzyme-Substrate or Swap with Intermediates, and include many networks that model post-translational modifications of proteins inside the cell. I will also outline recent methods to address the important question of multistationarity, in particular in the study of enzymatic cascades, and will point out some of the mathematical challenges that arise from this application.<br />
<br />
<br />
=== Jianfeng Lu (Duke) ===<br />
Title: How to ``localize" the computation?<br />
<br />
It is often desirable to restrict the numerical computation to a local region to achieve best balance between accuracy and affordability in scientific computing. It is important to avoid artifacts and guarantee predictable modelling while artificial boundary conditions have to be introduced to restrict the computation. In this talk, we will discuss some recent understanding on how to achieve such local computation in the context of topological edge states and elliptic random media.<br />
<br />
<br />
===Eugenia Cheng (School of the Art Institute of Chicago)===<br />
<br />
Title: Character vs gender in mathematics and beyond<br />
<br />
Abstract: This presentation will be based on my experience of being a female mathematician, and teaching mathematics at all levels from elementary school to grad school. The question of why women are under-represented in mathematics is complex and there are no simple answers, only many many contributing factors. I will focus on character traits, and argue that if we focus on this rather than gender we can have a more productive and less divisive conversation. To try and focus on characters rather than genders I will introduce gender-neutral character adjectives "ingressive" and "congressive" to replace masculine and feminine. I will share my experience of teaching congressive abstract mathematics to art students, in a congressive way, and the possible effects this could have for everyone in mathematics, not just women.<br />
<br />
<br />
===Omer Mermelstein (Madison)===<br />
<br />
Title: Generic flat pregeometries<br />
<br />
Abstract: In model theory, the tamest of structures are the strongly minimal ones -- those in which every equation in a single variable has either finitely many or cofinitely many solution. Algebraically closed fields and vector spaces are the canonical examples. Zilber’s conjecture, later refuted by Hrushovski, states that the source of geometric complexity in a strongly minimal structure must be algebraic. The property of "flatness" (strict gammoid) of a geometry (matroid) is that which guarantees Hrushovski's construction is devoid of any associative structure.<br />
The majority of the talk will explain what flatness is, how it should be thought of, and how closely it relates to hypergraphs and Hrushovski's construction method. Model theory makes an appearance only in the second part, where I will share results pertaining to the specific family of geometries arising from Hrushovski's methods.<br />
<br />
<br />
===Shamgar Gurevich (Madison)===<br />
<br />
Title: Harmonic Analysis on GL(n) over Finite Fields.<br />
<br />
Abstract: There are many formulas that express interesting properties of a finite group G in terms of sums over its characters. For evaluating or estimating these sums, one of the most salient quantities to understand is the character ratio:<br />
<br />
trace(ρ(g)) / dim(ρ),<br />
<br />
for an irreducible representation ρ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of the mentioned type for analyzing certain random walks on G.<br />
<br />
Recently, we discovered that for classical groups G over finite fields there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant rank. <br />
<br />
This talk will discuss the notion of rank for the group GLn over finite fields, demonstrate how it controls the character ratio, and explain how one can apply the results to verify mixing time and rate for certain random walks.<br />
<br />
This is joint work with Roger Howe (Yale and Texas AM). The numerics for this work was carried by Steve Goldstein (Madison)<br />
<br />
<br />
===Jose Rodriguez (UW-Madison)===<br />
<br />
Abstract: Determining the closest point to a model (subset of Euclidean space) is an important problem in many applications in science,<br />
engineering, and statistics. One way to solve this problem is by minimizing the squared Euclidean distance function using a gradient<br />
descent approach. However, when there are multiple local minima, there is no guarantee of convergence to the true global minimizer.<br />
An alternative method is to determine the critical points of an objective function on the model.<br />
In algebraic statistics, the models of interest are algebraic sets, i.e., solution sets to a system of multivariate polynomial equations. In this situation, the number of critical points of the squared Euclidean distance function on the model’s Zariski closure is a topological invariant called the Euclidean distance degree (ED degree).<br />
In this talk, I will present some models from computer vision and statistics that may be described as algebraic sets. Moreover,<br />
I will describe a topological method for determining a Euclidean distance degree and a numerical algebraic geometry approach for<br />
determining critical points of the squared Euclidean distance function.<br />
<br />
<br />
===Ananth Shankar (MIT)===<br />
<br />
Abstract: An abelian surface 'splits' if it admits a non-trivial map to some elliptic curve. It is well known that the set of abelian surfaces that split are sparse in the set of all abelian surfaces. Nevertheless, we prove that there are infinitely many split abelian surfaces in arithmetic one-parameter families of generically non-split abelian surfaces. I will describe this work, and if time permits, mention generalizations of this result to the setting of K3 surfaces, as well as applications to the dynamics of hecke orbits. This is joint work with Tang, Maulik-Tang, and Shankar-Tang-Tayou.<br />
<br />
<br />
===Franca Hoffman (Caltech)===<br />
<br />
Title: Gradient Flows: From PDE to Data Analysis.<br />
<br />
Abstract: Certain diffusive PDEs can be viewed as infinite-dimensional gradient flows. This fact has led to the development of new tools in various areas of mathematics ranging from PDE theory to data science. In this talk, we focus on two different directions: model-driven approaches and data-driven approaches.<br />
In the first part of the talk we use gradient flows for analyzing non-linear and non-local aggregation-diffusion equations when the corresponding energy functionals are not necessarily convex. Moreover, the gradient flow structure enables us to make connections to well-known functional inequalities, revealing possible links between the optimizers of these inequalities and the equilibria of certain aggregation-diffusion PDEs.<br />
In the second part, we use and develop gradient flow theory to design novel tools for data analysis. We draw a connection between gradient flows and Ensemble Kalman methods for parameter estimation. We introduce the Ensemble Kalman Sampler - a derivative-free methodology for model calibration and uncertainty quantification in expensive black-box models. The interacting particle dynamics underlying our algorithm can be approximated by a novel gradient flow structure in a modified Wasserstein metric which reflects particle correlations. The geometry of this modified Wasserstein metric is of independent theoretical interest.<br />
<br />
<br />
=== Jeffrey Danciger (UT Austin) ===<br />
<br />
Title: Affine geometry and the Auslander Conjecture<br />
<br />
Abstract: The Auslander Conjecture is an analogue of Bieberbach’s theory of Euclidean crystallographic groups in the setting of affine geometry. It predicts that a complete affine manifold (a manifold equipped with a complete torsion-free flat affine connection) which is compact must have virtually solvable fundamental group. The conjecture is known up to dimension six, but is known to fail if the compactness assumption is removed, even in low dimensions. We discuss some history of this conjecture, give some basic examples, and then survey some recent advances in the study of non-compact complete affine manifolds with non-solvable fundamental group. <br />
Tools from the deformation theory of pseudo-Riemannian hyperbolic manifolds and also from higher Teichm&uuml;ller theory will enter the picture.<br />
<br />
<br />
=== Tatyana Shcherbina (Princeton) ===<br />
<br />
Title: Random matrix theory and supersymmetry techniques<br />
<br />
Abstract: Starting from the works of Erdos, Yau, Schlein with coauthors, the significant progress in understanding the universal behavior of many random graph and random matrix models were achieved. However for the random matrices with a special structure our understanding is still very limited. In this talk I am going to overview applications of another approach to the study of the local eigenvalues statistics in random matrix theory based on so-called supersymmetry techniques (SUSY). SUSY approach is based on the representation of the determinant as an integral over the Grassmann (anticommuting) variables. Combining this representation with the representation of an inverse determinant as an integral over the Gaussian complex field, SUSY allows to obtain an integral representation for the main spectral characteristics of random matrices such as limiting density, correlation functions, the resolvent's elements, etc. This method is widely (and successfully) used in the physics literature and is potentially very powerful but the rigorous control of the integral representations, which can be obtained by this method, is quite difficult, and it requires powerful analytic and statistical mechanics tools. In this talk we will discuss some recent progress in application of SUSY to the analysis of local spectral characteristics of the prominent ensemble of random band matrices, i.e. random matrices<br />
whose entries become negligible if their distance from the main diagonal exceeds a certain parameter called the band width. <br />
<br />
<br />
=== Tingran Gao (University of Chicago) ===<br />
<br />
Title: Manifold Learning on Fibre Bundles<br />
<br />
Abstract: Spectral geometry has played an important role in modern geometric data analysis, where the technique is widely known as Laplacian eigenmaps or diffusion maps. In this talk, we present a geometric framework that studies graph representations of complex datasets, where each edge of the graph is equipped with a non-scalar transformation or correspondence. This new framework models such a dataset as a fibre bundle with a connection, and interprets the collection of pairwise functional relations as defining a horizontal diffusion process on the bundle driven by its projection on the base. The eigenstates of this horizontal diffusion process encode the “consistency” among objects in the dataset, and provide a lens through which the geometry of the dataset can be revealed. We demonstrate an application of this geometric framework on evolutionary anthropology.<br />
<br />
<br />
=== Andrew Zimmer (LSU) ===<br />
<br />
Title: Intrinsic and extrinsic geometries in several complex variables<br />
<br />
Abstract: A bounded domain in complex Euclidean space, despite being one of the simplest types of manifolds, has a number of interesting geometric structures. When the domain is pseudoconvex, it has a natural intrinsic geometry: the complete Kaehler-Einstein metric constructed by Cheng-Yau and Mok-Yau. When the domain is smoothly bounded, there is also a natural extrinsic structure: the CR-geometry of the boundary. In this talk, I will describe connections between these intrinsic and extrinsic geometries. Then, I will discuss how these connections can lead to new analytic results.<br />
<br />
=== Charlotte Chan (MIT) ===<br />
<br />
Title: Flag varieties and representations of p-adic groups<br />
<br />
Abstract: In the 1950s, Borel, Weil, and Bott showed that the<br />
irreducible representations of a complex reductive group can be<br />
realized in the cohomology of line bundles on flag varieties. In the<br />
1970s, Deligne and Lusztig constructed a family of subvarieties of<br />
flag varieties whose cohomology realizes the irreducible<br />
representations of reductive groups over finite fields. I will survey<br />
these stories, explain recent progress towards finding geometric<br />
constructions of representations of p-adic groups, and discuss<br />
interactions with the Langlands program.<br />
<br />
=== Hui Yu (Columbia) ===<br />
<br />
Title: Singular sets in obstacle problems<br />
<br />
Abstract: One of the most important free boundary problems is the obstacle problem. The regularity of its free boundary has been studied for over half a century. In this talk, we review some classical results as well as exciting new developments. In particular, we discuss the recent resolution of the regularity of the singular set for the fully nonlinear obstacle problem. This talk is based on a joint work with Ovidiu Savin at Columbia University.<br />
<br />
=== Alex Waldron (Michigan) ===<br />
<br />
Title: Gauge theory and geometric flows<br />
<br />
Abstract: I will give a brief introduction to two major areas of research in differential geometry: gauge theory and geometric flows. I'll then introduce a geometric flow (Yang-Mills flow) arising from a variational problem with origins in physics, which has been studied by geometric analysts since the early 1980s. I'll conclude by discussing my own work on the behavior of Yang-Mills flow in the critical dimension (n = 4).<br />
<br />
=== Nick Higham (Manchester) ===<br />
<br />
Title: Challenges in Multivalued Matrix Functions<br />
<br />
Abstract: In this lecture I will discuss multivalued matrix functions that arise in solving various kinds of matrix equations. The matrix logarithm is the prototypical example, and my first interaction with Hans Schneider was about this function. Another example is the Lambert W function of a matrix, which is much less well known but has been attracting recent interest. A theme of the talk is the importance of choosing appropriate principal values and making sure that the correct choices of signs and branches are used,<br />
both in theory and in computation. I will give examples where incorrect results have previously been obtained.<br />
<br />
I focus on matrix inverse trigonometric and inverse hyperbolic functions, beginning by investigating existence and characterization. Turning to the principal values, various functional identities are derived, some of which are new even in the scalar case, including a “round trip” formula that relates acos(cos A) to A and similar formulas for the other inverse functions. Key tools used in the derivations are the matrix unwinding function and the matrix sign function.<br />
<br />
A new inverse scaling and squaring type algorithm employing a Schur decomposition and variable-degree Pade approximation is derived for computing acos, and it is shown how it can also be used to compute asin, acosh, and asinh.<br />
<br />
=== Chenxi Wu (Rutgers) ===<br />
<br />
Title: Kazhdan's theorem on metric graphs<br />
<br />
Abstract: I will give an introduction to the concept of canonical (arakelov) metric on a metric graph, which is related to combinatorial questions like the counting of spanning trees, and generalizes the corresponding concept on Riemann surfaces. I will also present a recent result in collaboration with Farbod Shokrieh on the convergence of canonical metric under normal covers.<br />
<br />
=== Ruobing Zhang (Stony Brook) ===<br />
<br />
Title: Geometry and analysis of degenerating Calabi-Yau manifolds<br />
<br />
Abstract: This talk concerns a naturally occurring family of degenerating Calabi-Yau manifolds. A primary tool in analyzing their behavior is to combine the recently developed structure theory for Einstein manifolds and multi-scale singularity analysis for degenerating nonlinear PDEs in the collapsed setting. Based on the algebraic degeneration, we will give precise and more quantitative descriptions of singularity formation from both metric and analytic points of view.<br />
<br />
=== Thomas Lam (Michigan) === <br />
<br />
Title: Positive geometries and string theory amplitudes<br />
<br />
Abstract: Inspired by developments in quantum field theory, we<br />
recently defined the notion of a positive geometry, a class of spaces<br />
that includes convex polytopes, positive parts of projective toric<br />
varieties, and positive parts of flag varieties. I will discuss some<br />
basic features of the theory and an application to genus zero string<br />
theory amplitudes. As a special case, we obtain the Euler beta<br />
function, familiar to mathematicians, as the "stringy canonical form"<br />
of the closed interval.<br />
<br />
This talk is based on joint work with Arkani-Hamed, Bai, and He.<br />
<br />
=== Peter Cholak (Notre Dame) ===<br />
<br />
Title: What can we compute from solutions to combinatorial problems?<br />
<br />
Abstract: This will be an introductory talk to an exciting current <br />
research area in mathematical logic. Mostly we are interested in <br />
solutions to Ramsey's Theorem. Ramsey's Theorem says for colorings <br />
C of pairs of natural numbers, there is an infinite set H such that <br />
all pairs from H have the same constant color. H is called a homogeneous <br />
set for C. What can we compute from H? If you are not sure, come to <br />
the talk and find out!<br />
<br />
=== Saulo Orizaga (Duke) ===<br />
<br />
Title: Introduction to phase field models and their efficient numerical implementation<br />
<br />
Abstract: In this talk we will provide an introduction to phase field models. We will focus in models<br />
related to the Cahn-Hilliard (CH) type of partial differential equation (PDE). We will discuss the<br />
challenges associated in solving such higher order parabolic problems. We will present several<br />
new numerical methods that are fast and efficient for solving CH or CH-extended type of problems.<br />
The new methods and their energy-stability properties will be discussed and tested with several computational examples commonly found in material science problems. If time allows, we will talk about more applications in which phase field models are useful and applicable.<br />
<br />
=== Caglar Uyanik (Yale) ===<br />
<br />
Title: Hausdorff dimension and gap distribution in billiards<br />
<br />
Abstract: A classical “unfolding” procedure allows one to turn questions about billiard trajectories in a Euclidean polygon into questions about the geodesic flow on a surface equipped with a certain geometric structure. Surprisingly, the flow on the surface is in turn related to the geodesic flow on the classical moduli spaces of Riemann surfaces. Building on recent breakthrough results of Eskin-Mirzakhani-Mohammadi, we prove a large deviations result for Birkhoff averages as well as generalize a classical theorem of Masur on geodesics in the moduli spaces of translation surfaces. <br />
<br />
=== Andy Zucker (Lyon) ===<br />
<br />
Title: Topological dynamics of countable groups and structures<br />
<br />
Abstract: We give an introduction to the abstract topological dynamics <br />
of topological groups, i.e. the study of the continuous actions of a <br />
topological group on a compact space. We are particularly interested <br />
in the minimal actions, those for which every orbit is dense. <br />
The study of minimal actions is aided by a classical theorem of Ellis, <br />
who proved that for any topological group G, there exists a universal <br />
minimal flow (UMF), a minimal G-action which factors onto every other <br />
minimal G-action. Here, we will focus on two classes of groups: <br />
a countable discrete group and the automorphism group of a countable <br />
first-order structure. In the case of a countable discrete group, <br />
Baire category methods can be used to show that the collection of <br />
minimal flows is quite rich and that the UMF is rather complicated. <br />
For an automorphism group G of a countable structure, combinatorial <br />
methods can be used to show that sometimes, the UMF is trivial, or <br />
equivalently that every continuous action of G on a compact space <br />
admits a global fixed point.<br />
<br />
=== Lillian Pierce (Duke) ===<br />
<br />
Title: On Bourgain’s counterexample for the Schrödinger maximal function<br />
<br />
Abstract: In 1980, Carleson asked a question in harmonic analysis: to which Sobolev space $H^s$ must an initial data function belong, for a pointwise a.e. convergence result to hold for the solution to the associated linear Schrödinger equation? Over the next decades, many people developed counterexamples to push the (necessary) range of s up, and positive results to push the (sufficient) range of s down. Now, these ranges are finally meeting: Bourgain’s 2016 counterexample showed s < n/(2(n+1)) fails, and Du and Zhang’s 2019 paper shows that s>n/(2(n+1)) suffices. <br />
In this talk, we will give an overview of how to rigorously derive Bourgain’s 2016 counterexample, based on simple facts from number theory. We will show how to build Bourgain’s counterexample starting from “zero knowledge," and how to gradually optimize the set-up to arrive at the final counterexample. The talk will be broadly accessible, particularly if we live up to the claim of starting from “zero knowledge.”<br />
<br />
=== Joe Kileel (Princeton) ===<br />
<br />
Title: Inverse Problems, Imaging and Tensor Decomposition<br />
<br />
Abstract: Perspectives from computational algebra and optimization are brought <br />
to bear on a scientific application and a data science application. <br />
In the first part of the talk, I will discuss cryo-electron microscopy <br />
(cryo-EM), an imaging technique to determine the 3-D shape of <br />
macromolecules from many noisy 2-D projections, recognized by the 2017 <br />
Chemistry Nobel Prize. Mathematically, cryo-EM presents a <br />
particularly rich inverse problem, with unknown orientations, extreme <br />
noise, big data and conformational heterogeneity. In particular, this <br />
motivates a general framework for statistical estimation under compact <br />
group actions, connecting information theory and group invariant <br />
theory. In the second part of the talk, I will discuss tensor rank <br />
decomposition, a higher-order variant of PCA broadly applicable in <br />
data science. A fast algorithm is introduced and analyzed, combining <br />
ideas of Sylvester and the power method.<br />
<br />
=== Cynthia Vinzant (NCSU) ===<br />
<br />
Title: Matroids, log-concavity, and expanders<br />
<br />
Abstract: Matroids are combinatorial objects that model various types of independence. They appear several fields mathematics, including graph theory, combinatorial optimization, and algebraic geometry. In this talk, I will introduce the theory of matroids along with the closely related class of polynomials called strongly log-concave polynomials. Strong log-concavity is a functional property of a real multivariate polynomial that translates to useful conditions on its coefficients. Discrete probability distributions defined by these coefficients inherit several of these nice properties. I will discuss the beautiful real and combinatorial geometry underlying these polynomials and describe applications to random walks on the faces of simplicial complexes. Consequences include proofs of Mason's conjecture that the sequence of numbers of independent sets of a matroid is ultra log-concave and the Mihail-Vazirani conjecture that the basis exchange graph of a matroid has expansion at least one. This is based on joint work with Nima Anari, Kuikui Liu, and Shayan Oveis Gharan.<br />
<br />
== Future Colloquia ==<br />
[[Colloquia/Fall 2020| Fall 2020]]<br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Spring2019|Spring 2019]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Colloquia&diff=18871Colloquia2020-02-03T17:32:26Z<p>Spagnolie: /* Spring 2020 */</p>
<hr />
<div>= Mathematics Colloquium =<br />
<br />
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, '''unless otherwise indicated'''.<br />
<br />
<br />
<br />
==Fall 2019==<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
|Sept 6 '''Room 911'''<br />
| Will Sawin (Columbia)<br />
| [[#Will Sawin (Columbia) | On Chowla's Conjecture over F_q[T] ]]<br />
| Marshall<br />
|-<br />
|Sept 13<br />
| [https://www.math.ksu.edu/~soibel/ Yan Soibelman] (Kansas State)<br />
|[[#Yan Soibelman (Kansas State)| Riemann-Hilbert correspondence and Fukaya categories ]]<br />
| Caldararu<br />
|<br />
|-<br />
|Sept 16 '''Monday Room 911'''<br />
| [http://mate.dm.uba.ar/~alidick/ Alicia Dickenstein] (Buenos Aires)<br />
|[[#Alicia Dickenstein (Buenos Aires)| Algebra and geometry in the study of enzymatic cascades ]]<br />
| Craciun<br />
|<br />
|-<br />
|Sept 20<br />
| [https://math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|[[#Jianfeng Lu (Duke) | How to "localize" the computation?]]<br />
| Qin<br />
|<br />
|-<br />
|Sept 26 '''Thursday 3-4 pm Room 911'''<br />
| [http://eugeniacheng.com/ Eugenia Cheng] (School of the Art Institute of Chicago)<br />
| [[#Eugenia Cheng (School of the Art Institute of Chicago)| Character vs gender in mathematics and beyond ]]<br />
| Marshall / Friends of UW Madison Libraries<br />
|<br />
|-<br />
|Sept 27<br />
|<br />
|<br />
|-<br />
|Oct 4<br />
|<br />
|<br />
|-<br />
|Oct 11<br />
| Omer Mermelstein (Madison)<br />
| [[#Omer Mermelstein (Madison)| Generic flat pregeometries ]]<br />
|Andrews<br />
|<br />
|-<br />
|Oct 18<br />
| Shamgar Gurevich (Madison)<br />
| [[#Shamgar Gurevich (Madison) | Harmonic Analysis on GL(n) over Finite Fields ]]<br />
| Marshall<br />
|-<br />
|Oct 25<br />
|<br />
|-<br />
|Nov 1<br />
|Elchanan Mossel (MIT)<br />
|Distinguished Lecture<br />
|Roch<br />
|-<br />
|Nov 8<br />
|Jose Rodriguez (UW-Madison)<br />
|[[#Jose Rodriguez (UW-Madison) | Nearest Point Problems and Euclidean Distance Degrees]]<br />
|Erman<br />
|-<br />
|Nov 13 '''Wednesday 4-5pm'''<br />
|Ananth Shankar (MIT)<br />
|Exceptional splitting of abelian surfaces<br />
|-<br />
|Nov 20 '''Wednesday 4-5pm'''<br />
|Franca Hoffman (Caltech)<br />
|[[#Franca Hoffman (Caltech) | Gradient Flows: From PDE to Data Analysis]]<br />
|Smith<br />
|-<br />
|Nov 22<br />
| Jeffrey Danciger (UT Austin)<br />
| [[#Jeffrey Danciger (UT Austin) | "Affine geometry and the Auslander Conjecture"]]<br />
| Kent<br />
|-<br />
|Nov 25 '''Monday 4-5 pm Room 911'''<br />
|Tatyana Shcherbina (Princeton)<br />
| [[# Tatyana Shcherbina (Princeton)| "Random matrix theory and supersymmetry techniques"]]<br />
|Roch<br />
|-<br />
|Nov 29<br />
|Thanksgiving<br />
|<br />
|-<br />
|Dec 2 '''Monday 4-5pm'''<br />
|Tingran Gao (University of Chicago)<br />
| [[#Tingran Gao (University of Chicago)| "Manifold Learning on Fibre Bundles"]]<br />
|Smith<br />
|-<br />
|Dec 4 '''Wednesday 4-5 pm Room 911'''<br />
|Andrew Zimmer (LSU)<br />
|[[#Andrew Zimmer (LSU)| "Intrinsic and extrinsic geometries in several complex variables"]]<br />
|Gong<br />
|-<br />
|Dec 6<br />
|Charlotte Chan (MIT)<br />
|[[#Charlotte Chan (MIT)|"Flag varieties and representations of p-adic groups"]]<br />
|Erman<br />
|-<br />
|Dec 9 '''Monday 4-5 pm'''<br />
|Hui Yu (Columbia)<br />
|[[#Hui Yu (Columbia)|Singular sets in obstacle problems]]<br />
|Tran<br />
|-<br />
|Dec 11 '''Wednesday 2:30-3:30pm Room 911'''<br />
|Alex Waldron (Michigan)<br />
|[[#Alex Waldron (Michigan)|Gauge theory and geometric flows]]<br />
|Paul<br />
|-<br />
|Dec 11 '''Wednesday 4-5pm'''<br />
|Nick Higham (Manchester)<br />
|[[#Nick Higham (Manchester)|LAA lecture: Challenges in Multivalued Matrix Functions]]<br />
|Brualdi<br />
|-<br />
|Dec 13 <br />
|Chenxi Wu (Rutgers)<br />
|[[#Chenxi Wu (Rutgers)|Kazhdan's theorem on metric graphs]]<br />
|Ellenberg<br />
|-<br />
|Dec 18 '''Wednesday 4-5pm'''<br />
|Ruobing Zhang (Stony Brook)<br />
|[[#Ruobing Zhang (Stony Brook)|Geometry and analysis of degenerating Calabi-Yau manifolds]]<br />
|Paul<br />
|-<br />
|}<br />
<br />
==Spring 2020==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date <br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|<br />
|-<br />
|Jan 10<br />
|Thomas Lam (Michigan) <br />
|[[#Thomas Lam (Michigan) |Positive geometries and string theory amplitudes]]<br />
|Erman<br />
|-<br />
|Jan 21 '''Tuesday 4-5 pm in B139'''<br />
|[http://www.nd.edu/~cholak/ Peter Cholak] (Notre Dame) <br />
|[[#Peter Cholak (Notre Dame) |What can we compute from solutions to combinatorial problems?]]<br />
|Lempp<br />
|-<br />
|Jan 24<br />
|[https://math.duke.edu/people/saulo-orizaga Saulo Orizaga] (Duke)<br />
|[[#Saulo Orizaga (Duke) | Introduction to phase field models and their efficient numerical implementation ]]<br />
|<br />
|-<br />
|Jan 27 '''Monday 4-5 pm in 911'''<br />
|[https://math.yale.edu/people/caglar-uyanik Caglar Uyanik] (Yale)<br />
|[[#Caglar Uyanik (Yale) | Hausdorff dimension and gap distribution in billiards ]]<br />
|Ellenberg<br />
|-<br />
|Jan 29 '''Wednesday 4-5 pm'''<br />
|[https://ajzucker.wordpress.com/ Andy Zucker] (Lyon)<br />
|[[#Andy Zucker (Lyon) |Topological dynamics of countable groups and structures]]<br />
|Soskova/Lempp<br />
|-<br />
|Jan 31 <br />
|[https://services.math.duke.edu/~pierce/ Lillian Pierce] (Duke)<br />
|[[#Lillian Pierce (Duke) |On Bourgain’s counterexample for the Schrödinger maximal function]]<br />
|Marshall/Seeger<br />
|-<br />
|Feb 7<br />
|[https://web.math.princeton.edu/~jkileel/ Joe Kileel] (Princeton)<br />
|[[#Joe Kileel (Princeton) |Inverse Problems, Imaging and Tensor Decomposition]]<br />
|Roch<br />
|-<br />
|Feb 10<br />
|[https://clvinzan.math.ncsu.edu/ Cynthia Vinzant] (NCSU)<br />
|[[#Cynthia Vinzant (NCSU) |Matroids, log-concavity, and expanders]]<br />
|Roch/Erman<br />
|-<br />
|Feb 10<br />
|[https://www.machuang.org/ Jinzi Mac Huang] (UCSD)<br />
|[[#Jinzi Mac Huang (UCSD) |Math in the lab: mass transfer through fluid-structure interactions]]<br />
|Spagnolie<br />
|-<br />
|Feb 14<br />
|Reserved for job talk<br />
|<br />
|-<br />
|Feb 21<br />
|Shai Evra (IAS)<br />
|<br />
|Gurevich<br />
|<br />
|-<br />
|Feb 28<br />
|Brett Wick (Washington University, St. Louis)<br />
|<br />
|Seeger<br />
|-<br />
|March 6<br />
| Jessica Fintzen (Michigan)<br />
|<br />
|Marshall<br />
|-<br />
|March 13<br />
|<br />
|-<br />
|March 20<br />
|Spring break<br />
|<br />
|-<br />
|March 27<br />
|(Moduli Spaces Conference)<br />
|<br />
|Boggess, Sankar<br />
|-<br />
|April 3<br />
|Caroline Turnage-Butterbaugh (Carleton College)<br />
|<br />
|Marshall<br />
|-<br />
|April 10<br />
| Sarah Koch (Michigan)<br />
|<br />
| Bruce (WIMAW)<br />
|-<br />
|April 17<br />
|<br />
|<br />
|<br />
|-<br />
|April 23<br />
|Martin Hairer (Imperial College London)<br />
|Wolfgang Wasow Lecture<br />
|Hao Shen<br />
|-<br />
|April 24<br />
|Natasa Sesum (Rutgers University)<br />
|<br />
|Angenent<br />
|-<br />
|May 1<br />
|Robert Lazarsfeld (Stony Brook)<br />
|Distinguished lecture<br />
|Erman<br />
|}<br />
<br />
== Abstracts ==<br />
<br />
<br />
===Will Sawin (Columbia)===<br />
<br />
Title: On Chowla's Conjecture over F_q[T]<br />
<br />
Abstract: The Mobius function in number theory is a sequences of 1s, <br />
-1s, and 0s, which is simple to define and closely related to the <br />
prime numbers. Its behavior seems highly random. Chowla's conjecture <br />
is one precise formalization of this randomness, and has seen recent <br />
work by Matomaki, Radziwill, Tao, and Teravainen making progress on <br />
it. In joint work with Mark Shusterman, we modify this conjecture by <br />
replacing the natural numbers parameterizing this sequence with <br />
polynomials over a finite field. Under mild conditions on the finite <br />
field, we are able to prove a strong form of this conjecture. The <br />
proof is based on taking a geometric perspective on the problem, and <br />
succeeds because we are able to simplify the geometry using a trick <br />
based on the strange properties of polynomial derivatives over finite <br />
fields.<br />
<br />
<br />
===Yan Soibelman (Kansas State)===<br />
<br />
Title: Riemann-Hilbert correspondence and Fukaya categories<br />
<br />
Abstract: In this talk I am going to discuss the role of Fukaya categories in the Riemann-Hilbert correspondence<br />
for differential, q-difference and elliptic difference equations in dimension one.<br />
This approach not only gives a unified answer for several versions of the Riemann-Hilbert correspondence but also leads to a natural formulation<br />
of the non-abelian Hodge theory in dimension one. It also explains why periodic monopoles<br />
should appear as harmonic objects in this generalized non-abelian Hodge theory.<br />
All that is a part of the bigger project ``Holomorphic Floer theory",<br />
joint with Maxim Kontsevich.<br />
<br />
<br />
===Alicia Dickenstein (Buenos Aires)===<br />
<br />
Title: Algebra and geometry in the study of enzymatic cascades<br />
<br />
Abstract: In recent years, techniques from computational and real algebraic geometry have been successfully used to address mathematical challenges in systems biology. The algebraic theory of chemical reaction systems aims to understand their dynamic behavior by taking advantage of the inherent algebraic structure in the kinetic equations, and does not need the determination of the parameters a priori, which can be theoretically or practically impossible.<br />
I will give a gentle introduction to general results based on the network structure. In particular, I will describe a general framework for biological systems, called MESSI systems, that describe Modifications of type Enzyme-Substrate or Swap with Intermediates, and include many networks that model post-translational modifications of proteins inside the cell. I will also outline recent methods to address the important question of multistationarity, in particular in the study of enzymatic cascades, and will point out some of the mathematical challenges that arise from this application.<br />
<br />
<br />
=== Jianfeng Lu (Duke) ===<br />
Title: How to ``localize" the computation?<br />
<br />
It is often desirable to restrict the numerical computation to a local region to achieve best balance between accuracy and affordability in scientific computing. It is important to avoid artifacts and guarantee predictable modelling while artificial boundary conditions have to be introduced to restrict the computation. In this talk, we will discuss some recent understanding on how to achieve such local computation in the context of topological edge states and elliptic random media.<br />
<br />
<br />
===Eugenia Cheng (School of the Art Institute of Chicago)===<br />
<br />
Title: Character vs gender in mathematics and beyond<br />
<br />
Abstract: This presentation will be based on my experience of being a female mathematician, and teaching mathematics at all levels from elementary school to grad school. The question of why women are under-represented in mathematics is complex and there are no simple answers, only many many contributing factors. I will focus on character traits, and argue that if we focus on this rather than gender we can have a more productive and less divisive conversation. To try and focus on characters rather than genders I will introduce gender-neutral character adjectives "ingressive" and "congressive" to replace masculine and feminine. I will share my experience of teaching congressive abstract mathematics to art students, in a congressive way, and the possible effects this could have for everyone in mathematics, not just women.<br />
<br />
<br />
===Omer Mermelstein (Madison)===<br />
<br />
Title: Generic flat pregeometries<br />
<br />
Abstract: In model theory, the tamest of structures are the strongly minimal ones -- those in which every equation in a single variable has either finitely many or cofinitely many solution. Algebraically closed fields and vector spaces are the canonical examples. Zilber’s conjecture, later refuted by Hrushovski, states that the source of geometric complexity in a strongly minimal structure must be algebraic. The property of "flatness" (strict gammoid) of a geometry (matroid) is that which guarantees Hrushovski's construction is devoid of any associative structure.<br />
The majority of the talk will explain what flatness is, how it should be thought of, and how closely it relates to hypergraphs and Hrushovski's construction method. Model theory makes an appearance only in the second part, where I will share results pertaining to the specific family of geometries arising from Hrushovski's methods.<br />
<br />
<br />
===Shamgar Gurevich (Madison)===<br />
<br />
Title: Harmonic Analysis on GL(n) over Finite Fields.<br />
<br />
Abstract: There are many formulas that express interesting properties of a finite group G in terms of sums over its characters. For evaluating or estimating these sums, one of the most salient quantities to understand is the character ratio:<br />
<br />
trace(ρ(g)) / dim(ρ),<br />
<br />
for an irreducible representation ρ of G and an element g of G. For example, Diaconis and Shahshahani stated a formula of the mentioned type for analyzing certain random walks on G.<br />
<br />
Recently, we discovered that for classical groups G over finite fields there is a natural invariant of representations that provides strong information on the character ratio. We call this invariant rank. <br />
<br />
This talk will discuss the notion of rank for the group GLn over finite fields, demonstrate how it controls the character ratio, and explain how one can apply the results to verify mixing time and rate for certain random walks.<br />
<br />
This is joint work with Roger Howe (Yale and Texas AM). The numerics for this work was carried by Steve Goldstein (Madison)<br />
<br />
<br />
===Jose Rodriguez (UW-Madison)===<br />
<br />
Abstract: Determining the closest point to a model (subset of Euclidean space) is an important problem in many applications in science,<br />
engineering, and statistics. One way to solve this problem is by minimizing the squared Euclidean distance function using a gradient<br />
descent approach. However, when there are multiple local minima, there is no guarantee of convergence to the true global minimizer.<br />
An alternative method is to determine the critical points of an objective function on the model.<br />
In algebraic statistics, the models of interest are algebraic sets, i.e., solution sets to a system of multivariate polynomial equations. In this situation, the number of critical points of the squared Euclidean distance function on the model’s Zariski closure is a topological invariant called the Euclidean distance degree (ED degree).<br />
In this talk, I will present some models from computer vision and statistics that may be described as algebraic sets. Moreover,<br />
I will describe a topological method for determining a Euclidean distance degree and a numerical algebraic geometry approach for<br />
determining critical points of the squared Euclidean distance function.<br />
<br />
<br />
===Ananth Shankar (MIT)===<br />
<br />
Abstract: An abelian surface 'splits' if it admits a non-trivial map to some elliptic curve. It is well known that the set of abelian surfaces that split are sparse in the set of all abelian surfaces. Nevertheless, we prove that there are infinitely many split abelian surfaces in arithmetic one-parameter families of generically non-split abelian surfaces. I will describe this work, and if time permits, mention generalizations of this result to the setting of K3 surfaces, as well as applications to the dynamics of hecke orbits. This is joint work with Tang, Maulik-Tang, and Shankar-Tang-Tayou.<br />
<br />
<br />
===Franca Hoffman (Caltech)===<br />
<br />
Title: Gradient Flows: From PDE to Data Analysis.<br />
<br />
Abstract: Certain diffusive PDEs can be viewed as infinite-dimensional gradient flows. This fact has led to the development of new tools in various areas of mathematics ranging from PDE theory to data science. In this talk, we focus on two different directions: model-driven approaches and data-driven approaches.<br />
In the first part of the talk we use gradient flows for analyzing non-linear and non-local aggregation-diffusion equations when the corresponding energy functionals are not necessarily convex. Moreover, the gradient flow structure enables us to make connections to well-known functional inequalities, revealing possible links between the optimizers of these inequalities and the equilibria of certain aggregation-diffusion PDEs.<br />
In the second part, we use and develop gradient flow theory to design novel tools for data analysis. We draw a connection between gradient flows and Ensemble Kalman methods for parameter estimation. We introduce the Ensemble Kalman Sampler - a derivative-free methodology for model calibration and uncertainty quantification in expensive black-box models. The interacting particle dynamics underlying our algorithm can be approximated by a novel gradient flow structure in a modified Wasserstein metric which reflects particle correlations. The geometry of this modified Wasserstein metric is of independent theoretical interest.<br />
<br />
<br />
=== Jeffrey Danciger (UT Austin) ===<br />
<br />
Title: Affine geometry and the Auslander Conjecture<br />
<br />
Abstract: The Auslander Conjecture is an analogue of Bieberbach’s theory of Euclidean crystallographic groups in the setting of affine geometry. It predicts that a complete affine manifold (a manifold equipped with a complete torsion-free flat affine connection) which is compact must have virtually solvable fundamental group. The conjecture is known up to dimension six, but is known to fail if the compactness assumption is removed, even in low dimensions. We discuss some history of this conjecture, give some basic examples, and then survey some recent advances in the study of non-compact complete affine manifolds with non-solvable fundamental group. <br />
Tools from the deformation theory of pseudo-Riemannian hyperbolic manifolds and also from higher Teichm&uuml;ller theory will enter the picture.<br />
<br />
<br />
=== Tatyana Shcherbina (Princeton) ===<br />
<br />
Title: Random matrix theory and supersymmetry techniques<br />
<br />
Abstract: Starting from the works of Erdos, Yau, Schlein with coauthors, the significant progress in understanding the universal behavior of many random graph and random matrix models were achieved. However for the random matrices with a special structure our understanding is still very limited. In this talk I am going to overview applications of another approach to the study of the local eigenvalues statistics in random matrix theory based on so-called supersymmetry techniques (SUSY). SUSY approach is based on the representation of the determinant as an integral over the Grassmann (anticommuting) variables. Combining this representation with the representation of an inverse determinant as an integral over the Gaussian complex field, SUSY allows to obtain an integral representation for the main spectral characteristics of random matrices such as limiting density, correlation functions, the resolvent's elements, etc. This method is widely (and successfully) used in the physics literature and is potentially very powerful but the rigorous control of the integral representations, which can be obtained by this method, is quite difficult, and it requires powerful analytic and statistical mechanics tools. In this talk we will discuss some recent progress in application of SUSY to the analysis of local spectral characteristics of the prominent ensemble of random band matrices, i.e. random matrices<br />
whose entries become negligible if their distance from the main diagonal exceeds a certain parameter called the band width. <br />
<br />
<br />
=== Tingran Gao (University of Chicago) ===<br />
<br />
Title: Manifold Learning on Fibre Bundles<br />
<br />
Abstract: Spectral geometry has played an important role in modern geometric data analysis, where the technique is widely known as Laplacian eigenmaps or diffusion maps. In this talk, we present a geometric framework that studies graph representations of complex datasets, where each edge of the graph is equipped with a non-scalar transformation or correspondence. This new framework models such a dataset as a fibre bundle with a connection, and interprets the collection of pairwise functional relations as defining a horizontal diffusion process on the bundle driven by its projection on the base. The eigenstates of this horizontal diffusion process encode the “consistency” among objects in the dataset, and provide a lens through which the geometry of the dataset can be revealed. We demonstrate an application of this geometric framework on evolutionary anthropology.<br />
<br />
<br />
=== Andrew Zimmer (LSU) ===<br />
<br />
Title: Intrinsic and extrinsic geometries in several complex variables<br />
<br />
Abstract: A bounded domain in complex Euclidean space, despite being one of the simplest types of manifolds, has a number of interesting geometric structures. When the domain is pseudoconvex, it has a natural intrinsic geometry: the complete Kaehler-Einstein metric constructed by Cheng-Yau and Mok-Yau. When the domain is smoothly bounded, there is also a natural extrinsic structure: the CR-geometry of the boundary. In this talk, I will describe connections between these intrinsic and extrinsic geometries. Then, I will discuss how these connections can lead to new analytic results.<br />
<br />
=== Charlotte Chan (MIT) ===<br />
<br />
Title: Flag varieties and representations of p-adic groups<br />
<br />
Abstract: In the 1950s, Borel, Weil, and Bott showed that the<br />
irreducible representations of a complex reductive group can be<br />
realized in the cohomology of line bundles on flag varieties. In the<br />
1970s, Deligne and Lusztig constructed a family of subvarieties of<br />
flag varieties whose cohomology realizes the irreducible<br />
representations of reductive groups over finite fields. I will survey<br />
these stories, explain recent progress towards finding geometric<br />
constructions of representations of p-adic groups, and discuss<br />
interactions with the Langlands program.<br />
<br />
=== Hui Yu (Columbia) ===<br />
<br />
Title: Singular sets in obstacle problems<br />
<br />
Abstract: One of the most important free boundary problems is the obstacle problem. The regularity of its free boundary has been studied for over half a century. In this talk, we review some classical results as well as exciting new developments. In particular, we discuss the recent resolution of the regularity of the singular set for the fully nonlinear obstacle problem. This talk is based on a joint work with Ovidiu Savin at Columbia University.<br />
<br />
=== Alex Waldron (Michigan) ===<br />
<br />
Title: Gauge theory and geometric flows<br />
<br />
Abstract: I will give a brief introduction to two major areas of research in differential geometry: gauge theory and geometric flows. I'll then introduce a geometric flow (Yang-Mills flow) arising from a variational problem with origins in physics, which has been studied by geometric analysts since the early 1980s. I'll conclude by discussing my own work on the behavior of Yang-Mills flow in the critical dimension (n = 4).<br />
<br />
=== Nick Higham (Manchester) ===<br />
<br />
Title: Challenges in Multivalued Matrix Functions<br />
<br />
Abstract: In this lecture I will discuss multivalued matrix functions that arise in solving various kinds of matrix equations. The matrix logarithm is the prototypical example, and my first interaction with Hans Schneider was about this function. Another example is the Lambert W function of a matrix, which is much less well known but has been attracting recent interest. A theme of the talk is the importance of choosing appropriate principal values and making sure that the correct choices of signs and branches are used,<br />
both in theory and in computation. I will give examples where incorrect results have previously been obtained.<br />
<br />
I focus on matrix inverse trigonometric and inverse hyperbolic functions, beginning by investigating existence and characterization. Turning to the principal values, various functional identities are derived, some of which are new even in the scalar case, including a “round trip” formula that relates acos(cos A) to A and similar formulas for the other inverse functions. Key tools used in the derivations are the matrix unwinding function and the matrix sign function.<br />
<br />
A new inverse scaling and squaring type algorithm employing a Schur decomposition and variable-degree Pade approximation is derived for computing acos, and it is shown how it can also be used to compute asin, acosh, and asinh.<br />
<br />
=== Chenxi Wu (Rutgers) ===<br />
<br />
Title: Kazhdan's theorem on metric graphs<br />
<br />
Abstract: I will give an introduction to the concept of canonical (arakelov) metric on a metric graph, which is related to combinatorial questions like the counting of spanning trees, and generalizes the corresponding concept on Riemann surfaces. I will also present a recent result in collaboration with Farbod Shokrieh on the convergence of canonical metric under normal covers.<br />
<br />
=== Ruobing Zhang (Stony Brook) ===<br />
<br />
Title: Geometry and analysis of degenerating Calabi-Yau manifolds<br />
<br />
Abstract: This talk concerns a naturally occurring family of degenerating Calabi-Yau manifolds. A primary tool in analyzing their behavior is to combine the recently developed structure theory for Einstein manifolds and multi-scale singularity analysis for degenerating nonlinear PDEs in the collapsed setting. Based on the algebraic degeneration, we will give precise and more quantitative descriptions of singularity formation from both metric and analytic points of view.<br />
<br />
=== Thomas Lam (Michigan) === <br />
<br />
Title: Positive geometries and string theory amplitudes<br />
<br />
Abstract: Inspired by developments in quantum field theory, we<br />
recently defined the notion of a positive geometry, a class of spaces<br />
that includes convex polytopes, positive parts of projective toric<br />
varieties, and positive parts of flag varieties. I will discuss some<br />
basic features of the theory and an application to genus zero string<br />
theory amplitudes. As a special case, we obtain the Euler beta<br />
function, familiar to mathematicians, as the "stringy canonical form"<br />
of the closed interval.<br />
<br />
This talk is based on joint work with Arkani-Hamed, Bai, and He.<br />
<br />
=== Peter Cholak (Notre Dame) ===<br />
<br />
Title: What can we compute from solutions to combinatorial problems?<br />
<br />
Abstract: This will be an introductory talk to an exciting current <br />
research area in mathematical logic. Mostly we are interested in <br />
solutions to Ramsey's Theorem. Ramsey's Theorem says for colorings <br />
C of pairs of natural numbers, there is an infinite set H such that <br />
all pairs from H have the same constant color. H is called a homogeneous <br />
set for C. What can we compute from H? If you are not sure, come to <br />
the talk and find out!<br />
<br />
=== Saulo Orizaga (Duke) ===<br />
<br />
Title: Introduction to phase field models and their efficient numerical implementation<br />
<br />
Abstract: In this talk we will provide an introduction to phase field models. We will focus in models<br />
related to the Cahn-Hilliard (CH) type of partial differential equation (PDE). We will discuss the<br />
challenges associated in solving such higher order parabolic problems. We will present several<br />
new numerical methods that are fast and efficient for solving CH or CH-extended type of problems.<br />
The new methods and their energy-stability properties will be discussed and tested with several computational examples commonly found in material science problems. If time allows, we will talk about more applications in which phase field models are useful and applicable.<br />
<br />
=== Caglar Uyanik (Yale) ===<br />
<br />
Title: Hausdorff dimension and gap distribution in billiards<br />
<br />
Abstract: A classical “unfolding” procedure allows one to turn questions about billiard trajectories in a Euclidean polygon into questions about the geodesic flow on a surface equipped with a certain geometric structure. Surprisingly, the flow on the surface is in turn related to the geodesic flow on the classical moduli spaces of Riemann surfaces. Building on recent breakthrough results of Eskin-Mirzakhani-Mohammadi, we prove a large deviations result for Birkhoff averages as well as generalize a classical theorem of Masur on geodesics in the moduli spaces of translation surfaces. <br />
<br />
=== Andy Zucker (Lyon) ===<br />
<br />
Title: Topological dynamics of countable groups and structures<br />
<br />
Abstract: We give an introduction to the abstract topological dynamics <br />
of topological groups, i.e. the study of the continuous actions of a <br />
topological group on a compact space. We are particularly interested <br />
in the minimal actions, those for which every orbit is dense. <br />
The study of minimal actions is aided by a classical theorem of Ellis, <br />
who proved that for any topological group G, there exists a universal <br />
minimal flow (UMF), a minimal G-action which factors onto every other <br />
minimal G-action. Here, we will focus on two classes of groups: <br />
a countable discrete group and the automorphism group of a countable <br />
first-order structure. In the case of a countable discrete group, <br />
Baire category methods can be used to show that the collection of <br />
minimal flows is quite rich and that the UMF is rather complicated. <br />
For an automorphism group G of a countable structure, combinatorial <br />
methods can be used to show that sometimes, the UMF is trivial, or <br />
equivalently that every continuous action of G on a compact space <br />
admits a global fixed point.<br />
<br />
=== Lillian Pierce (Duke) ===<br />
<br />
Title: On Bourgain’s counterexample for the Schrödinger maximal function<br />
<br />
Abstract: In 1980, Carleson asked a question in harmonic analysis: to which Sobolev space $H^s$ must an initial data function belong, for a pointwise a.e. convergence result to hold for the solution to the associated linear Schrödinger equation? Over the next decades, many people developed counterexamples to push the (necessary) range of s up, and positive results to push the (sufficient) range of s down. Now, these ranges are finally meeting: Bourgain’s 2016 counterexample showed s < n/(2(n+1)) fails, and Du and Zhang’s 2019 paper shows that s>n/(2(n+1)) suffices. <br />
In this talk, we will give an overview of how to rigorously derive Bourgain’s 2016 counterexample, based on simple facts from number theory. We will show how to build Bourgain’s counterexample starting from “zero knowledge," and how to gradually optimize the set-up to arrive at the final counterexample. The talk will be broadly accessible, particularly if we live up to the claim of starting from “zero knowledge.”<br />
<br />
=== Joe Kileel (Princeton) ===<br />
<br />
Title: Inverse Problems, Imaging and Tensor Decomposition<br />
<br />
Abstract: Perspectives from computational algebra and optimization are brought <br />
to bear on a scientific application and a data science application. <br />
In the first part of the talk, I will discuss cryo-electron microscopy <br />
(cryo-EM), an imaging technique to determine the 3-D shape of <br />
macromolecules from many noisy 2-D projections, recognized by the 2017 <br />
Chemistry Nobel Prize. Mathematically, cryo-EM presents a <br />
particularly rich inverse problem, with unknown orientations, extreme <br />
noise, big data and conformational heterogeneity. In particular, this <br />
motivates a general framework for statistical estimation under compact <br />
group actions, connecting information theory and group invariant <br />
theory. In the second part of the talk, I will discuss tensor rank <br />
decomposition, a higher-order variant of PCA broadly applicable in <br />
data science. A fast algorithm is introduced and analyzed, combining <br />
ideas of Sylvester and the power method.<br />
<br />
=== Cynthia Vinzant (NCSU) ===<br />
<br />
Title: Matroids, log-concavity, and expanders<br />
<br />
Abstract: Matroids are combinatorial objects that model various types of independence. They appear several fields mathematics, including graph theory, combinatorial optimization, and algebraic geometry. In this talk, I will introduce the theory of matroids along with the closely related class of polynomials called strongly log-concave polynomials. Strong log-concavity is a functional property of a real multivariate polynomial that translates to useful conditions on its coefficients. Discrete probability distributions defined by these coefficients inherit several of these nice properties. I will discuss the beautiful real and combinatorial geometry underlying these polynomials and describe applications to random walks on the faces of simplicial complexes. Consequences include proofs of Mason's conjecture that the sequence of numbers of independent sets of a matroid is ultra log-concave and the Mihail-Vazirani conjecture that the basis exchange graph of a matroid has expansion at least one. This is based on joint work with Nima Anari, Kuikui Liu, and Shayan Oveis Gharan.<br />
<br />
== Future Colloquia ==<br />
[[Colloquia/Fall 2020| Fall 2020]]<br />
<br />
== Past Colloquia ==<br />
<br />
[[Colloquia/Blank|Blank]]<br />
<br />
[[Colloquia/Spring2019|Spring 2019]]<br />
<br />
[[Colloquia/Fall2018|Fall 2018]]<br />
<br />
[[Colloquia/Spring2018|Spring 2018]]<br />
<br />
[[Colloquia/Fall2017|Fall 2017]]<br />
<br />
[[Colloquia/Spring2017|Spring 2017]]<br />
<br />
[[Archived Fall 2016 Colloquia|Fall 2016]]<br />
<br />
[[Colloquia/Spring2016|Spring 2016]]<br />
<br />
[[Colloquia/Fall2015|Fall 2015]]<br />
<br />
[[Colloquia/Spring2014|Spring 2015]]<br />
<br />
[[Colloquia/Fall2014|Fall 2014]]<br />
<br />
[[Colloquia/Spring2014|Spring 2014]]<br />
<br />
[[Colloquia/Fall2013|Fall 2013]]<br />
<br />
[[Colloquia 2012-2013|Spring 2013]]<br />
<br />
[[Colloquia 2012-2013#Fall 2012|Fall 2012]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS/Spring2020&diff=18486Applied/ACMS/Spring20202019-11-24T04:00:22Z<p>Spagnolie: /* Spring 2020 */</p>
<hr />
<div>== Spring 2020 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Jan 31<br />
|[https://www.math.wisc.edu/~hung/ Hung Tran] (UW-Madison)<br />
|''[[Applied/ACMS/absS20#Hung Tran (UW-Madison)| Coagulation-Fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel]]''<br />
| Li<br />
|-<br />
| Feb 7<br />
|[https://www.usna.edu/Users/weaprcon/avramov/index.php Svetlana Avramov-Zamurovic] (United States Naval Academy)<br />
|''[[Applied/ACMS/absS20#Svetlana Avramov-Zamurovic (United States Naval Academy)|TBA]]''<br />
| Stechmann<br />
|-<br />
| Feb 14<br />
|[http://math.mit.edu/~vadicgor/ Gorin Vadim] (UW-Madison)<br />
|''[[Applied/ACMS/absS20#Gorin Vadim (UW-Madison)|TBA, either random matrix or KPZ equation]]''<br />
| Li<br />
|-<br />
| Feb 21<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 28<br />
|[https://cims.nyu.edu/~yangq/ Qiu Yang] (NYU/UVic/NCAR)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| Chen<br />
|-<br />
| Mar 6<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 13<br />
|[http://www.columbia.edu/~ktm2132/ Kyle Mandli] (Columbia)<br />
|''[[Applied/ACMS/absS20#Kyle Mandli (Columbia)|TBA]]''<br />
| Wally<br />
|-<br />
| Mar 20<br />
|[Spring break] (Spring Break!)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 27<br />
|[http://www-personal.umich.edu/~jcsch/ John Schotland] (U Mich)<br />
|''[[Applied/ACMS/absS20#John Schotland (Michigan)|title]]''<br />
| host<br />
|-<br />
| Apr 3<br />
|[http://keaton-burns.com/ Keaton Burns] (MIT)<br />
|''[[Applied/ACMS/absS20#Keaton Burns (MIT)|title]]''<br />
| Spagnolie<br />
|-<br />
| Apr 10<br />
|[https://www.princeton.edu/~lecoanet/ Daniel Lecoanet] (Princeton)<br />
|''[[Applied/ACMS/absS20#Daniel Lecoanet (Princeton)|TBA]]''<br />
| Wally<br />
|-<br />
| Apr 17<br />
|[https://www.ornl.gov/staff-profile/hoang-tran Hoang Tran] (Oak Ridge National Laboratory)<br />
|''[[Applied/ACMS/absS20#Hoang Tran (institution)|title]]''<br />
| Tran<br />
|-<br />
| Apr 24<br />
|[https://www.pml.unc.edu/ Pedro Saenz] (UNC)<br />
|''[[Applied/ACMS/absF19#Pedro Saenz (UNC)|TBA]]''<br />
| Spagnolie</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS/Spring2020&diff=18485Applied/ACMS/Spring20202019-11-24T03:59:20Z<p>Spagnolie: </p>
<hr />
<div>== Spring 2020 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Jan 31<br />
|[https://www.math.wisc.edu/~hung/ Hung Tran] (UW-Madison)<br />
|''[[Applied/ACMS/absS20#Hung Tran (UW-Madison)| Coagulation-Fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel]]''<br />
| Li<br />
|-<br />
| Feb 7<br />
|[https://www.usna.edu/Users/weaprcon/avramov/index.php Svetlana Avramov-Zamurovic] (United States Naval Academy)<br />
|''[[Applied/ACMS/absS20#Svetlana Avramov-Zamurovic (United States Naval Academy)|TBA]]''<br />
| Stechmann<br />
|-<br />
| Feb 14<br />
|[http://math.mit.edu/~vadicgor/ Gorin Vadim] (UW-Madison)<br />
|''[[Applied/ACMS/absS20#Gorin Vadim (UW-Madison)|TBA, either random matrix or KPZ equation]]''<br />
| Li<br />
|-<br />
| Feb 21<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 28<br />
|[https://cims.nyu.edu/~yangq/ Qiu Yang] (NYU/UVic/NCAR)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| Chen<br />
|-<br />
| Mar 6<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 13<br />
|[http://www.columbia.edu/~ktm2132/ Kyle Mandli] (Columbia)<br />
|''[[Applied/ACMS/absS20#Kyle Mandli (Columbia)|TBA]]''<br />
| Wally<br />
|-<br />
| Mar 20<br />
|[Spring break] (Spring Break!)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 27<br />
|[http://www-personal.umich.edu/~jcsch/ John Schotland] (U Mich)<br />
|''[[Applied/ACMS/absS20#John Schotland (Michigan)|title]]''<br />
| host<br />
|-<br />
| Apr 3<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Keaton Burns (MIT)|title]]''<br />
| Spagnolie<br />
|-<br />
| Apr 10<br />
|[https://www.princeton.edu/~lecoanet/ Daniel Lecoanet] (Princeton)<br />
|''[[Applied/ACMS/absS20#Daniel Lecoanet (Princeton)|TBA]]''<br />
| Wally<br />
|-<br />
| Apr 17<br />
|[https://www.ornl.gov/staff-profile/hoang-tran Hoang Tran] (Oak Ridge National Laboratory)<br />
|''[[Applied/ACMS/absS20#Hoang Tran (institution)|title]]''<br />
| Tran<br />
|-<br />
| Apr 24<br />
|[https://www.pml.unc.edu/ Pedro Saenz] (UNC)<br />
|''[[Applied/ACMS/absF19#Pedro Saenz (UNC)|TBA]]''<br />
| Spagnolie</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS/absF19&diff=18363Applied/ACMS/absF192019-11-08T15:48:18Z<p>Spagnolie: /* ACMS Abstracts: Fall 2019 */</p>
<hr />
<div>= ACMS Abstracts: Fall 2019 =<br />
<br />
=== Leonardo Andrés Zepeda Núñez ===<br />
<br />
Title: Deep Learning for Electronic Structure Computations: A Tale of Symmetries, Locality, and Physics<br />
<br />
Abstract: Recently, the surge of interest in deep neural learning has dramatically improved image and signal processing, which has fueled breakthroughs in many domains such as drug discovery, genomics, and automatic translation. These advances have been further applied to scientific computing and, in particular, to electronic structure computations. In this case, the main objective is to directly compute the electron density, which encodes most of information of the system, thus bypassing the computationally intensive solution of the Kohn-Sham equations. However, similar to neural networks for image processing, the performance of the methods depends spectacularly on the physical and analytical intuition incorporated in the network, and on the training stage.<br />
<br />
In this talk, I will show how to build a network that respects physical symmetries and locality. I will show how to train the networks and how such properties impact the performance of the resulting network. Finally, I will present several examples for small yet realistic chemical systems.<br />
<br />
<br />
=== Daniel Floryan (UW-Madison) ===<br />
<br />
Title: Flexible Inertial Swimmers<br />
<br />
Abstract: Inertial swimmers deform their bodies and fins to push against the water and propel themselves forward. The deformation is driven partly by active musculature, and partly by passive elasticity. The interaction between elasticity and hydrodynamics confers features on the swimmers not enjoyed by their rigid friends, for example, boosts in speed when flapping at certain frequencies. We explain the salient features of flexible swimmers by drawing ideas from airfoils, vibrating beams, and flags flapping in the wind. The presence of fluid drag has important consequences. We also explore optimal arrangements of flexibility. (It turns out that nature is quite good.)<br />
<br />
<br />
=== Jianfeng Lu (Duke) ===<br />
<br />
Title: How to ``localize" the computation?<br />
<br />
It is often desirable to restrict the numerical computation to a local <br />
region to achieve best balance between accuracy and affordability in scientific computing. It is important to avoid artifacts and guarantee predictable modelling while artificial boundary conditions have to be introduced to restrict the computation. In this talk, we will discuss some recent understanding on how to achieve such local computation in the context of topological edge states and elliptic random media.<br />
<br />
<br />
=== Mitch Bushuk (GFDL/Princeton) ===<br />
<br />
Title: Arctic Sea Ice Predictability in a Changing Cryosphere<br />
<br />
Abstract: Forty years of satellite observations have documented a striking decline in the areal extent of Arctic sea ice. The loss of sea ice has impacts on the climate system, human populations, ecosystems, and natural environments across a broad range of spatial and temporal scales. These changes have motivated significant research interest in the predictability and prediction of Arctic sea ice on seasonal-to-interannual timescales. In this talk, I will address two related questions: (1) What is the inherent predictability of Arctic sea ice and what physical mechanisms underlie this predictability? and (2) How can this knowledge be leveraged to improve operational sea ice predictions? I will present findings on the relative roles of the ocean, sea ice, and atmosphere in controlling Arctic sea ice predictability. I will also present evidence for an Arctic spring predictability barrier, which may impose a sharp limit on our ability to make skillful predictions of the summer sea ice minimum. <br />
<br />
<br />
=== Qin Li (UW-Madison) ===<br />
<br />
Title: The power of randomness in scientific computing<br />
<br />
Abstract: Most numerical methods in scientific computing are deterministic. Traditionally, accuracy has been the target while the cost was not the concern. However, in this era of big data, we incline to relax the strict requirements on the accuracy to reduce numerical cost. Introducing randomness in the numerical solvers could potentially speed up the computation significantly at small sacrifice of accuracy. In this talk, I'd like to show two concrete examples how this is done: first on random sketching in experimental design, and the second on numerical homgenization, hoping the discussion can shed light on potential other applications. Joint work with Ke Chen, Jianfeng Lu, Kit Newton and Stephen Wright.<br />
<br />
<br />
=== Joel Nishimura (Arizona State) ===<br />
<br />
Title: Random graph models with fixed degree sequences: choices, consequences and irreducibility proofs for sampling<br />
<br />
Abstract: Determining which features of an empirical graph are noteworthy frequently relies upon the ability to sample random graphs with constrained properties. Since empirical graphs have distinctive degree sequences, one of the most popular random graph models is the configuration model, which produces a graph uniformly at random from the set of graphs with a fixed degree sequence. While it is commonly treated as though there is only a single configuration model, one sampled via stub-matching, there are many, depending on whether self-loops and multiedges are allowed and whether edge stubs are labeled or not. We show, these different configuration models can lead to drastically, sometimes opposite, interpretations of empirical graphs. In order to sample from these different configuration models, we review and develop the underpinnings of Markov chain Monte Carlo methods based upon double-edge swaps. We also present new results on the irreducibility of the Markov chain for graphs with self-loops, either proving irreducibility or exactly characterizing the degree sequences for which the Markov chain is reducible. This work completes the study of the irreducibility of double edge-swap Markov chains (and the related Curveball Markov chain) for all combinations of allowing self-loops, multiple self-loops and/or multiedges. <br />
<br />
<br />
=== Alex Townsend (Cornell) ===<br />
<br />
Title: Why are so many matrices and tensors of low rank in computational mathematics?<br />
<br />
Abstract: Matrices and tensors that appear in computational mathematics are so often well-approximated by low-rank objects. Since random ("average") matrices are almost surely of full rank, mathematics needs to explain the abundance of low-rank structures. We will give various methodologies that allow one to begin to understand the prevalence of compressible matrices and tensors and we hope to reveal an underlying link between disparate applications. In particular, we will show how one can connect the singular values of a matrix with displacement structure to a rational approximation problem that highlights fundamental connections between polynomial interpolation, Krylov methods, and fast Toeplitz solvers.<br />
<br />
<br />
=== Prashant G. Mehta ===<br />
<br />
Title: What is the Lagrangian for Nonlinear Filtering?<br />
<br />
Abstract: There is a certain magic involved in recasting the equations in Physics, and the algorithms in Engineering, in variational terms. The most classical of these ‘magics’ is the Lagrange’s formulation of the Newtonian mechanics. An accessible modern take on all this and more appears in the February 19, 2019 issue of The New Yorker magazine: https://www.newyorker.com/science/elements/a-different-kind-of-theory-of-everything?reload=true <br />
<br />
My talk is concerned with a variational (optimal control type) formulation of the problem of nonlinear filtering/estimation. Such formulations are referred to as duality between optimal estimation and optimal control. The first duality principle appears in the seminal (1961) paper of Kalman-Bucy, where the problem of minimum variance estimation is shown to be dual to a linear quadratic optimal control problem. <br />
<br />
In my talk, I will describe a generalization of the Kalman-Bucy duality theory to nonlinear filtering. The generalization is an exact extension, in the sense that the dual optimal control problem has the same minimum variance structure for linear and nonlinear filtering problems. Kalman-Bucy’s classical result is shown to be a special case. During the talk, I will also attempt to review other types of duality relationships that have appeared over the years for the problem of linear and nonlinear filtering. <br />
<br />
This is joint work with Jin Won Kim and Sean Meyn. The talk is based on the following papers: https://arxiv.org/pdf/1903.11195.pdf and https://arxiv.org/pdf/1904.01710.pdf.<br />
<br />
<br />
=== Jean-Luc Thiffeault ===<br />
<br />
Title: Shape matters: A Brownian swimmer in a channel<br />
<br />
Abstract: We consider a simple model of a two-dimensional microswimmer with fixed swimming speed. The direction of swimming changes according to<br />
a Brownian process, and the swimmer is interacting with boundaries. This is a standard model for a simple microswimmer, or a confined<br />
wormlike chain polymer. The shape of the swimmer determines the range of allowable values that its degrees of freedom can assume --- its<br />
configuration space. Using natural assumptions about reflection of the swimmer at boundaries, we compute the swimmer's invariant<br />
distribution across a channel consisting of two parallel walls, and the statistics of spreading in the longitudinal direction. This gives<br />
us the effective diffusion constant of the swimmer's large scale motion. When the swimmer is longer than the channel width, it cannot<br />
reverse, and we then compute the mean drift velocity of the swimmer. This model offers insight into experiments of scattering of swimmers<br />
from boundaries, and serves as an exactly-solvable baseline when comparing to more complex models. This is joint work with Hongfei Chen.<br />
<br />
=== Tan Bui (UT-Austin) ===<br />
<br />
Title: Scalable Algorithms for Data-driven Inverse and Learning Problems<br />
<br />
Abstract: Inverse problems and uncertainty quantification (UQ) are pervasive in scientific discovery and decision-making for complex, natural, engineered, and societal systems. They are perhaps the most popular mathematical approaches for enabling predictive scientific simulations that integrate observational/experimental data, simulations and/or models. Unfortunately, inverse/UQ problems for practical complex systems possess these the simultaneous challenges: the large-scale forward problem challenge, the high dimensional parameter space challenge, and the big data challenge.<br />
<br />
To address the first challenge, we have developed parallel high-order (hybridized) discontinuous Galerkin methods to discretize complex forward PDEs. <br />
To address the second challenge, we have developed various approaches from model reduction to advanced Markov chain Monte Carlo methods to effectively explore high dimensional parameter spaces to compute posterior statistics. To address the last challenge, we have developed a randomized misfit approach that uncovers the interplay between the Johnson-Lindenstrauss and the Morozov's discrepancy principle to significantly reduce the dimension of the data without compromising the quality of the inverse solutions.<br />
<br />
In this talk we selectively present scalable and rigorous approaches to tackle these challenges for PDE-governed Bayesian inverse problems. Various numerical results for simple to complex PDEs will be presented to verify our algorithms and theoretical findings. If time permits, we will present our recent work on scientific machine learning for inverse and learning problems.<br />
<br />
=== Wenxiao Pan (UW-Madison) ===<br />
<br />
Title: Mesoscale Modeling of Soft Matter<br />
<br />
Abstract: Soft matter systems, such as colloids and polymers, are characterized by an interplay of interactions and processes that span a wide range of length- and time scales. Computer simulations require modeling approaches to cover these scales. In order to access mesoscopic time- and length scales, necessary to access material properties, two numerical approaches will be discussed in this talk. The first one concerns suspension flows of arbitrary-shaped colloids. A high-order, spatially adaptive, meshless method was developed to solve the PDEs that govern hydrodynamics and fluid- solid interactions. Near-field hydrodynamic interactions between arbitrary-shaped colloids can be accurately captured without subgrid-scale lubrication models. The second approach seeks a bottom-up, coarse-grained modeling for polymers in solution. It starts from atomistic descriptions, and by proper mapping atomistic details onto a coarser representation, arrives at the mesoscale. The effect of unresolved degrees of freedom on the kinetics of polymers is accounted by the non-Markovian memory kernel. The coarse-grained variables and governing equation are directly linked to the statistics of atomistic data.<br />
<br />
=== Prerna Gera (UW-Madison) ===<br />
<br />
Title: Patchy Vesicles in Shear Flow<br />
<br />
Abstract: Multicomponent vesicles are fluid filled structure enclosed by a lipid bilayer and are composed of cholesterol that combine with saturated lipids to form energetically stable domains on the vesicle surface. The presence of different lipid species lead to varying material properties, such as bending rigidity, produce a rich variety of dynamics as seen in experiments. In the first part of the talk, a three dimensional continuum model will be presented to explore the dynamics of multicomponent vesicle. The membrane is modeled using a two-phase surface Cahn-Hilliard equation along with a level/set closest point method. The domain on the membrane is coupled with fluid surrounding the vesicle via an energy variation approach. Motivated by the results from the continuum simulations, a small amplitude asymptotic approach is used to derive a reduced order model and predict the low wave numbers breathing and trembling behavior of the membrane.</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=18362Applied/ACMS2019-11-08T15:46:13Z<p>Spagnolie: /* Fall 2019 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li], [http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Fall 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Sept 6<br />
|[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda Núñez] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Leonardo Andrés Zepeda Núñez (UW-Madison)|Deep Learning for Electronic Structure Computations: A Tale of Symmetries, Locality, and Physics]]''<br />
| Li<br />
|-<br />
| Sept 13<br />
|[http://dfloryan.mycpanel.princeton.edu/ Daniel Floryan] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Daniel Floryan (UW-Madison)|Flexible Inertial Swimmers]]''<br />
| Jean-Luc<br />
|-<br />
| Sept 14-15<br />
|[https://www.ams.org/meetings/sectional/2267_program.html AMS sectional meeting]<br />
| UW-Madison<br />
|-<br />
| Sept 20<br />
|[https://www.gfdl.noaa.gov/mitch-bushuk/ Mitch Bushuk] (GFDL/Princeton)<br />
|''[[Applied/ACMS/absF19#Mitch Bushuk (GFDL/Princeton)|Arctic Sea Ice Predictability in a Changing Cryosphere]]''<br />
| Chen<br />
|-<br />
| Sept 20 (colloquium, 4pm, B239)<br />
|[https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|''[[Applied/ACMS/absF19#Jianfeng Lu (Duke)|How to "localize" the computation?]]''<br />
| Li<br />
|-<br />
| Sept 27<br />
|[http://www.math.wisc.edu/~qinli/ Qin Li] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Qin Li (UW-Madison)|The power of randomness in scientific computing]]''<br />
| host<br />
|-<br />
| Oct 4<br />
|[https://isearch.asu.edu/profile/2169104 Joel Nishimura] (Arizona State)<br />
|''[[Applied/ACMS/absF19#Joel Nishimura (Arizona State)|Random graph models with fixed degree sequences: choices, consequences and irreducibility proofs for sampling]]''<br />
| Cochran<br />
|-<br />
| Oct 11<br />
|[http://pi.math.cornell.edu/~ajt/ Alex Townsend] (Cornell)<br />
|''[[Applied/ACMS/absF19#Alex Townsend (Cornell)|Why are so many matrices and tensors of low rank in computational mathematics?]]''<br />
| Li<br />
|-<br />
| Oct 18<br />
|[http://mehta.mechse.illinois.edu/ Prashant G. Mehta] (UIUC)<br />
|''[[Applied/ACMS/absF19#Prashant G. Mehta (UIUC)|What is the Lagrangian for Nonlinear Filtering?]]''<br />
| Chen<br />
|-<br />
| Oct 25<br />
|[https://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Jean-Luc Thiffeault|Shape matters: A Brownian microswimmer interacting with walls]]''<br />
| <br />
|-<br />
| Nov 1<br />
|[https://users.oden.utexas.edu/~tanbui/ Tan Bui] (UT-Austin)<br />
|''[[Applied/ACMS/absF19#Tan Bui (UT-Austin)|Scalable Algorithms for Data-driven Inverse and Learning Problems]]''<br />
| Li<br />
|-<br />
| Nov 8<br />
|[https://pan.labs.wisc.edu/staff/pan-wenxiao/ Wenxiao Pan] (UW)<br />
|''[[Applied/ACMS/absF19#Wenxiao Pan (UW)|Mesoscale Modeling of Soft Matter]]''<br />
| Spagnolie<br />
| <br />
|-<br />
| Nov 15<br />
|[https://www.math.wisc.edu/~pgera/ Prerna Gera] (UW)<br />
|''[[Applied/ACMS/absF19#Prerna Gera (UW)|Patchy Vesicles in Shear Flow]]''<br />
| Spagnolie<br />
|-<br />
| Dec 6<br />
|[https://math.berkeley.edu/~linlin/ Lin Lin] (Berkeley)<br />
|''[[Applied/ACMS/absF19#Lin Lin (UC Berkeley)|TBA]]''<br />
| Li<br />
|-<br />
|}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2020|Spring 2020]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS/absF19&diff=18325Applied/ACMS/absF192019-11-04T17:24:33Z<p>Spagnolie: /* ACMS Abstracts: Fall 2019 */</p>
<hr />
<div>= ACMS Abstracts: Fall 2019 =<br />
<br />
=== Leonardo Andrés Zepeda Núñez ===<br />
<br />
Title: Deep Learning for Electronic Structure Computations: A Tale of Symmetries, Locality, and Physics<br />
<br />
Abstract: Recently, the surge of interest in deep neural learning has dramatically improved image and signal processing, which has fueled breakthroughs in many domains such as drug discovery, genomics, and automatic translation. These advances have been further applied to scientific computing and, in particular, to electronic structure computations. In this case, the main objective is to directly compute the electron density, which encodes most of information of the system, thus bypassing the computationally intensive solution of the Kohn-Sham equations. However, similar to neural networks for image processing, the performance of the methods depends spectacularly on the physical and analytical intuition incorporated in the network, and on the training stage.<br />
<br />
In this talk, I will show how to build a network that respects physical symmetries and locality. I will show how to train the networks and how such properties impact the performance of the resulting network. Finally, I will present several examples for small yet realistic chemical systems.<br />
<br />
<br />
=== Daniel Floryan (UW-Madison) ===<br />
<br />
Title: Flexible Inertial Swimmers<br />
<br />
Abstract: Inertial swimmers deform their bodies and fins to push against the water and propel themselves forward. The deformation is driven partly by active musculature, and partly by passive elasticity. The interaction between elasticity and hydrodynamics confers features on the swimmers not enjoyed by their rigid friends, for example, boosts in speed when flapping at certain frequencies. We explain the salient features of flexible swimmers by drawing ideas from airfoils, vibrating beams, and flags flapping in the wind. The presence of fluid drag has important consequences. We also explore optimal arrangements of flexibility. (It turns out that nature is quite good.)<br />
<br />
<br />
=== Jianfeng Lu (Duke) ===<br />
<br />
Title: How to ``localize" the computation?<br />
<br />
It is often desirable to restrict the numerical computation to a local <br />
region to achieve best balance between accuracy and affordability in scientific computing. It is important to avoid artifacts and guarantee predictable modelling while artificial boundary conditions have to be introduced to restrict the computation. In this talk, we will discuss some recent understanding on how to achieve such local computation in the context of topological edge states and elliptic random media.<br />
<br />
<br />
=== Mitch Bushuk (GFDL/Princeton) ===<br />
<br />
Title: Arctic Sea Ice Predictability in a Changing Cryosphere<br />
<br />
Abstract: Forty years of satellite observations have documented a striking decline in the areal extent of Arctic sea ice. The loss of sea ice has impacts on the climate system, human populations, ecosystems, and natural environments across a broad range of spatial and temporal scales. These changes have motivated significant research interest in the predictability and prediction of Arctic sea ice on seasonal-to-interannual timescales. In this talk, I will address two related questions: (1) What is the inherent predictability of Arctic sea ice and what physical mechanisms underlie this predictability? and (2) How can this knowledge be leveraged to improve operational sea ice predictions? I will present findings on the relative roles of the ocean, sea ice, and atmosphere in controlling Arctic sea ice predictability. I will also present evidence for an Arctic spring predictability barrier, which may impose a sharp limit on our ability to make skillful predictions of the summer sea ice minimum. <br />
<br />
<br />
=== Qin Li (UW-Madison) ===<br />
<br />
Title: The power of randomness in scientific computing<br />
<br />
Abstract: Most numerical methods in scientific computing are deterministic. Traditionally, accuracy has been the target while the cost was not the concern. However, in this era of big data, we incline to relax the strict requirements on the accuracy to reduce numerical cost. Introducing randomness in the numerical solvers could potentially speed up the computation significantly at small sacrifice of accuracy. In this talk, I'd like to show two concrete examples how this is done: first on random sketching in experimental design, and the second on numerical homgenization, hoping the discussion can shed light on potential other applications. Joint work with Ke Chen, Jianfeng Lu, Kit Newton and Stephen Wright.<br />
<br />
<br />
=== Joel Nishimura (Arizona State) ===<br />
<br />
Title: Random graph models with fixed degree sequences: choices, consequences and irreducibility proofs for sampling<br />
<br />
Abstract: Determining which features of an empirical graph are noteworthy frequently relies upon the ability to sample random graphs with constrained properties. Since empirical graphs have distinctive degree sequences, one of the most popular random graph models is the configuration model, which produces a graph uniformly at random from the set of graphs with a fixed degree sequence. While it is commonly treated as though there is only a single configuration model, one sampled via stub-matching, there are many, depending on whether self-loops and multiedges are allowed and whether edge stubs are labeled or not. We show, these different configuration models can lead to drastically, sometimes opposite, interpretations of empirical graphs. In order to sample from these different configuration models, we review and develop the underpinnings of Markov chain Monte Carlo methods based upon double-edge swaps. We also present new results on the irreducibility of the Markov chain for graphs with self-loops, either proving irreducibility or exactly characterizing the degree sequences for which the Markov chain is reducible. This work completes the study of the irreducibility of double edge-swap Markov chains (and the related Curveball Markov chain) for all combinations of allowing self-loops, multiple self-loops and/or multiedges. <br />
<br />
<br />
=== Alex Townsend (Cornell) ===<br />
<br />
Title: Why are so many matrices and tensors of low rank in computational mathematics?<br />
<br />
Abstract: Matrices and tensors that appear in computational mathematics are so often well-approximated by low-rank objects. Since random ("average") matrices are almost surely of full rank, mathematics needs to explain the abundance of low-rank structures. We will give various methodologies that allow one to begin to understand the prevalence of compressible matrices and tensors and we hope to reveal an underlying link between disparate applications. In particular, we will show how one can connect the singular values of a matrix with displacement structure to a rational approximation problem that highlights fundamental connections between polynomial interpolation, Krylov methods, and fast Toeplitz solvers.<br />
<br />
<br />
=== Prashant G. Mehta ===<br />
<br />
Title: What is the Lagrangian for Nonlinear Filtering?<br />
<br />
Abstract: There is a certain magic involved in recasting the equations in Physics, and the algorithms in Engineering, in variational terms. The most classical of these ‘magics’ is the Lagrange’s formulation of the Newtonian mechanics. An accessible modern take on all this and more appears in the February 19, 2019 issue of The New Yorker magazine: https://www.newyorker.com/science/elements/a-different-kind-of-theory-of-everything?reload=true <br />
<br />
My talk is concerned with a variational (optimal control type) formulation of the problem of nonlinear filtering/estimation. Such formulations are referred to as duality between optimal estimation and optimal control. The first duality principle appears in the seminal (1961) paper of Kalman-Bucy, where the problem of minimum variance estimation is shown to be dual to a linear quadratic optimal control problem. <br />
<br />
In my talk, I will describe a generalization of the Kalman-Bucy duality theory to nonlinear filtering. The generalization is an exact extension, in the sense that the dual optimal control problem has the same minimum variance structure for linear and nonlinear filtering problems. Kalman-Bucy’s classical result is shown to be a special case. During the talk, I will also attempt to review other types of duality relationships that have appeared over the years for the problem of linear and nonlinear filtering. <br />
<br />
This is joint work with Jin Won Kim and Sean Meyn. The talk is based on the following papers: https://arxiv.org/pdf/1903.11195.pdf and https://arxiv.org/pdf/1904.01710.pdf.<br />
<br />
<br />
=== Jean-Luc Thiffeault ===<br />
<br />
Title: Shape matters: A Brownian swimmer in a channel<br />
<br />
Abstract: We consider a simple model of a two-dimensional microswimmer with fixed swimming speed. The direction of swimming changes according to<br />
a Brownian process, and the swimmer is interacting with boundaries. This is a standard model for a simple microswimmer, or a confined<br />
wormlike chain polymer. The shape of the swimmer determines the range of allowable values that its degrees of freedom can assume --- its<br />
configuration space. Using natural assumptions about reflection of the swimmer at boundaries, we compute the swimmer's invariant<br />
distribution across a channel consisting of two parallel walls, and the statistics of spreading in the longitudinal direction. This gives<br />
us the effective diffusion constant of the swimmer's large scale motion. When the swimmer is longer than the channel width, it cannot<br />
reverse, and we then compute the mean drift velocity of the swimmer. This model offers insight into experiments of scattering of swimmers<br />
from boundaries, and serves as an exactly-solvable baseline when comparing to more complex models. This is joint work with Hongfei Chen.<br />
<br />
=== Tan Bui (UT-Austin) ===<br />
<br />
Title: Scalable Algorithms for Data-driven Inverse and Learning Problems<br />
<br />
Abstract: Inverse problems and uncertainty quantification (UQ) are pervasive in scientific discovery and decision-making for complex, natural, engineered, and societal systems. They are perhaps the most popular mathematical approaches for enabling predictive scientific simulations that integrate observational/experimental data, simulations and/or models. Unfortunately, inverse/UQ problems for practical complex systems possess these the simultaneous challenges: the large-scale forward problem challenge, the high dimensional parameter space challenge, and the big data challenge.<br />
<br />
To address the first challenge, we have developed parallel high-order (hybridized) discontinuous Galerkin methods to discretize complex forward PDEs. <br />
To address the second challenge, we have developed various approaches from model reduction to advanced Markov chain Monte Carlo methods to effectively explore high dimensional parameter spaces to compute posterior statistics. To address the last challenge, we have developed a randomized misfit approach that uncovers the interplay between the Johnson-Lindenstrauss and the Morozov's discrepancy principle to significantly reduce the dimension of the data without compromising the quality of the inverse solutions.<br />
<br />
In this talk we selectively present scalable and rigorous approaches to tackle these challenges for PDE-governed Bayesian inverse problems. Various numerical results for simple to complex PDEs will be presented to verify our algorithms and theoretical findings. If time permits, we will present our recent work on scientific machine learning for inverse and learning problems.<br />
<br />
=== Wenxiao Pan (UW-Madison) ===<br />
<br />
Title: Mesoscale Modeling of Soft Matter<br />
<br />
Abstract: Soft matter systems, such as colloids and polymers, are characterized by an interplay of interactions and processes that span a wide range of length- and time scales. Computer simulations require modeling approaches to cover these scales. In order to access mesoscopic time- and length scales, necessary to access material properties, two numerical approaches will be discussed in this talk. The first one concerns suspension flows of arbitrary-shaped colloids. A high-order, spatially adaptive, meshless method was developed to solve the PDEs that govern hydrodynamics and fluid- solid interactions. Near-field hydrodynamic interactions between arbitrary-shaped colloids can be accurately captured without subgrid-scale lubrication models. The second approach seeks a bottom-up, coarse-grained modeling for polymers in solution. It starts from atomistic descriptions, and by proper mapping atomistic details onto a coarser representation, arrives at the mesoscale. The effect of unresolved degrees of freedom on the kinetics of polymers is accounted by the non-Markovian memory kernel. The coarse-grained variables and governing equation are directly linked to the statistics of atomistic data.</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=18324Applied/ACMS2019-11-04T17:23:23Z<p>Spagnolie: </p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li], [http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Fall 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Sept 6<br />
|[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda Núñez] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Leonardo Andrés Zepeda Núñez (UW-Madison)|Deep Learning for Electronic Structure Computations: A Tale of Symmetries, Locality, and Physics]]''<br />
| Li<br />
|-<br />
| Sept 13<br />
|[http://dfloryan.mycpanel.princeton.edu/ Daniel Floryan] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Daniel Floryan (UW-Madison)|Flexible Inertial Swimmers]]''<br />
| Jean-Luc<br />
|-<br />
| Sept 14-15<br />
|[https://www.ams.org/meetings/sectional/2267_program.html AMS sectional meeting]<br />
| UW-Madison<br />
|-<br />
| Sept 20<br />
|[https://www.gfdl.noaa.gov/mitch-bushuk/ Mitch Bushuk] (GFDL/Princeton)<br />
|''[[Applied/ACMS/absF19#Mitch Bushuk (GFDL/Princeton)|Arctic Sea Ice Predictability in a Changing Cryosphere]]''<br />
| Chen<br />
|-<br />
| Sept 20 (colloquium, 4pm, B239)<br />
|[https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|''[[Applied/ACMS/absF19#Jianfeng Lu (Duke)|How to "localize" the computation?]]''<br />
| Li<br />
|-<br />
| Sept 27<br />
|[http://www.math.wisc.edu/~qinli/ Qin Li] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Qin Li (UW-Madison)|The power of randomness in scientific computing]]''<br />
| host<br />
|-<br />
| Oct 4<br />
|[https://isearch.asu.edu/profile/2169104 Joel Nishimura] (Arizona State)<br />
|''[[Applied/ACMS/absF19#Joel Nishimura (Arizona State)|Random graph models with fixed degree sequences: choices, consequences and irreducibility proofs for sampling]]''<br />
| Cochran<br />
|-<br />
| Oct 11<br />
|[http://pi.math.cornell.edu/~ajt/ Alex Townsend] (Cornell)<br />
|''[[Applied/ACMS/absF19#Alex Townsend (Cornell)|Why are so many matrices and tensors of low rank in computational mathematics?]]''<br />
| Li<br />
|-<br />
| Oct 18<br />
|[http://mehta.mechse.illinois.edu/ Prashant G. Mehta] (UIUC)<br />
|''[[Applied/ACMS/absF19#Prashant G. Mehta (UIUC)|What is the Lagrangian for Nonlinear Filtering?]]''<br />
| Chen<br />
|-<br />
| Oct 25<br />
|[https://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Jean-Luc Thiffeault|Shape matters: A Brownian microswimmer interacting with walls]]''<br />
| <br />
|-<br />
| Nov 1<br />
|[https://users.oden.utexas.edu/~tanbui/ Tan Bui] (UT-Austin)<br />
|''[[Applied/ACMS/absF19#Tan Bui (UT-Austin)|Scalable Algorithms for Data-driven Inverse and Learning Problems]]''<br />
| Li<br />
|-<br />
| Nov 8<br />
|[https://pan.labs.wisc.edu/staff/pan-wenxiao/ Wenxiao Pan] (UW)<br />
|''[[Applied/ACMS/absF19#Wenxiao Pan (UW)|Mesoscale Modeling of Soft Matter]]''<br />
| Spagnolie<br />
| <br />
|-<br />
| Nov 15<br />
|[https://www.math.wisc.edu/~pgera/ Prerna Gera] (UW)<br />
|''[[Applied/ACMS/absF19#Prerna Gera (UW)|TBA]]''<br />
| Spagnolie<br />
|-<br />
| Dec 6<br />
|[https://math.berkeley.edu/~linlin/ Lin Lin] (Berkeley)<br />
|''[[Applied/ACMS/absF19#Lin Lin (UC Berkeley)|TBA]]''<br />
| Li<br />
|-<br />
|}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2020|Spring 2020]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/Physical_Applied_Math&diff=18221Applied/Physical Applied Math2019-10-21T15:54:11Z<p>Spagnolie: /* Fall 2019 */</p>
<hr />
<div>= Physical Applied Math Group Meeting =<br />
<br />
*'''When:''' Thursdays at 4:00pm (unless there is a departmental meeting)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~spagnolie Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the Physical Applied Math mailing list:''' See the [https://admin.lists.wisc.edu/index.php?p=11&l=phys_appl_math mailing list website].<br />
<br />
== Fall 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Sept. 5<br />
|<br />
|Organizational meeting<br />
|-<br />
|Sept. 12<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Sept. 19<br />
|Yu<br />
|Convection-induced singularity suppression in the Keller-Segel and other nonlinear PDEs<br />
|-<br />
|Sept. 26<br />
|Son<br />
|State-constraint static Hamilton-Jacobi equations in nested domains<br />
|-<br />
|Oct. 3<br />
|Hongfei<br />
|Microswimmers interacting with walls<br />
|-<br />
|Oct. 10<br />
|Alex Townsend<br />
|The ultraspherical spectral method<br />
|-<br />
|Oct. 17<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Oct. 24<br />
|Prerna<br />
||Pak, Feng and Stone, [https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/viscous-marangoni-migration-of-a-drop-in-a-poiseuille-flow-at-low-surface-peclet-numbers/2504CA0D4BC84B06E2E33DA39DE93355 Viscous Marangoni migration of a drop in a Poiseuille flow at low surface Péclet numbers].<br />
|-<br />
|Oct. 31<br />
|<br />
|<br />
|-<br />
|Nov. 7<br />
|Bryan<br />
|<br />
|-<br />
|Nov. 11<br />
|<br />
|<br />
|-<br />
|Nov. 14<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Nov. 21<br />
|<br />
|Practice talks for DFD<br />
|-<br />
|Dec. 5<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Dec. 12<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|}<br />
<br />
== Spring 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Jan. 24<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Jan. 31<br />
|Jean-Luc<br />
|Organizational meeting; J-LT speaks on Vortices in a channel<br />
|-<br />
|Feb. 7<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Feb. 14<br />
|Yu<br />
|Suppression of phase separation by mixing<br />
|-<br />
|Feb. 21<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Feb. 28<br />
|Bryan<br />
|Riffles shuffles and mixing<br />
|-<br />
|Mar. 7<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Mar. 14<br />
|Hongfei<br />
|[https://www.springer.com/us/book/9781441916044 Diffusion across potential barriers]<br />
|-<br />
|Mar. 21<br />
|<br />
|''Spring Break''<br />
|-<br />
|Mar. 28<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Apr. 4<br />
|Ruojun<br />
|Internal diffusion-limited aggregation and rotor-router walks with drift<br />
|-<br />
|Apr. 11<br />
|Jiajia<br />
|[https://doi.org/10.1063/1.1675038 Freed, Wiener Integrals and Models of Stiff Polymer Chains]<br />
|-<br />
|Apr. 18<br />
|Wangping<br />
|Entanglement of frictionless strings<br />
|-<br />
|Apr. 25<br />
|John<br />
|pseudo-Anosov homeomorphisms with large entropy<br />
|-<br />
|May 2<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|May 9<br />
|Saverio<br />
|Internal capillary origami (see [https://journals.aps.org/pra/abstract/10.1103/PhysRevA.44.1182 Seifert et al, Shape transformations of vesicles] and [https://www.annualreviews.org/doi/full/10.1146/annurev-fluid-122316-050130?casa_token=lYj2Hmpn0fEAAAAA:269tjv-n7Odyzgam7PniTi5WmNPjP0qVrO7qxV0a8Ox_Tl4fNsawlxTves-ev7vI_h9Sx_0jKfwK Bico et al., Elastocapillarity (Review article)])<br />
|-<br />
|}<br />
<br />
== Fall 2018 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Jan. 31<br />
|Jean-Luc<br />
|Organizational meeting; J-LT speaks on Aldous and Diaconis, [https://www.ams.org/journals/bull/1999-36-04/S0273-0979-99-00796-X/ Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem]<br />
|-<br />
|Sep. 13<br />
|Son<br />
|[https://arxiv.org/abs/1808.06129 Rate of convergence for periodic homogenization of convex Hamilton-Jacobi equations in one dimension]<br />
|-<br />
|Sep. 20<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Sep. 27<br />
|[https://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)<br />
|[https://arxiv.org/abs/1806.03699 Dissipation enhancement by mixing]<br />
|-<br />
|Oct. 4<br />
|Gage<br />
|[https://www.dropbox.com/s/tjc4v03cwgzeppm/Group_talk_ab___notes.pdf Escape rates of random walks on free groups]<br />
|-<br />
|Oct. 11<br />
|<i>cancelled</i><br />
|<br />
|-<br />
|Oct. 18<br />
|Yu Feng<br />
|Relaxation enhancement for Advective Cahn-Hilliard (practice for specialty)<br />
|-<br />
|Oct. 25<br />
|Yu's specialty <b>2-3pm, B139</b><br />
|Relaxation enhancement for Advective Cahn-Hilliard<br />
|-<br />
|Nov. 1<br />
|Wil<br />
|Powers, [https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.82.1607; Dynamics of filaments and membranes in a viscous fluid]; Guven et al. [http://iopscience.iop.org/article/10.1088/1751-8113/47/35/355201/pdf Environmental bias and elastic curves on surfaces]<br />
|-<br />
|Nov. 8<br />
|Tom<br />
|[https://arxiv.org/abs/1809.01190 Mixing by jellyfish]<br />
|-<br />
|Nov. 15<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Nov. 22<br />
|<br />
|''Thanksgiving Break''<br />
|-<br />
|Nov. 29<br />
|Chris<br />
|Sun et al., [https://www.sciencedirect.com/science/article/pii/S0167278911001588 A mathematical model for the synchronization of cows]<br />
|-<br />
|Dec. 6<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|'''Dec. 12, B239'''<br />
|Jean-Luc<br />
|Cooking food by flipping<br />
|-<br />
|Dec. 13<br />
|<br />
|''Faculty Meeting''<br />
|}<br />
<br />
== Archived semesters ==<br />
*[[Applied/Physical_Applied_Math/Spring2018|Spring 2018]]<br />
*[[Applied/Physical_Applied_Math/Fall2017|Fall 2017]]<br />
*[[Applied/Physical_Applied_Math/Spring2017|Spring 2017]]<br />
*[[Applied/Physical_Applied_Math/Fall2016|Fall 2016]]<br />
*[[Applied/Physical_Applied_Math/Spring2016|Spring 2016]]<br />
*[[Applied/Physical_Applied_Math/Fall2015|Fall 2015]]<br />
*[[Applied/Physical_Applied_Math/Spring2015|Spring 2015]]<br />
*[[Applied/Physical_Applied_Math/Summer2014|Summer 2014]]<br />
*[[Applied/Physical_Applied_Math/Spring2014|Spring 2014]]<br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS/Spring2020&diff=18153Applied/ACMS/Spring20202019-10-13T22:03:44Z<p>Spagnolie: </p>
<hr />
<div>== Spring 2020 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Jan 31<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 7<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 14<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 21<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 28<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 6<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 13<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 20<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 27<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Apr 3<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Apr 10<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Apr 17<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Apr 24<br />
|[https://www.pml.unc.edu/ Pedro Saenz] (UNC)<br />
|''[[Applied/ACMS/absF19#Pedro Saenz (UNC)|TBA]]''<br />
| Spagnolie</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS/Spring2020&diff=18077Applied/ACMS/Spring20202019-10-01T20:54:30Z<p>Spagnolie: </p>
<hr />
<div>== Spring 2020 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Jan 31<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 7<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 14<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 21<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 28<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 6<br />
|[https://www.pml.unc.edu/ Pedro Saenz] (UNC)<br />
|''[[Applied/ACMS/absF19#Pedro Saenz (UNC)|TBA]]''<br />
| Spagnolie<br />
|-<br />
| Mar 13<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 20<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 27<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Apr 3<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Apr 10<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Apr 17<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Apr 24<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=18010Applied/ACMS2019-09-25T16:14:48Z<p>Spagnolie: /* Fall 2019 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li], [http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Fall 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Sept 6<br />
|[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda Núñez] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Leonardo Andrés Zepeda Núñez (UW-Madison)|Deep Learning for Electronic Structure Computations: A Tale of Symmetries, Locality, and Physics]]''<br />
| Li<br />
|-<br />
| Sept 13<br />
|[http://dfloryan.mycpanel.princeton.edu/ Daniel Floryan] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Daniel Floryan (UW-Madison)|Flexible Inertial Swimmers]]''<br />
| Jean-Luc<br />
|-<br />
| Sept 14-15<br />
|[https://www.ams.org/meetings/sectional/2267_program.html AMS sectional meeting]<br />
| UW-Madison<br />
|-<br />
| Sept 20<br />
|[https://www.gfdl.noaa.gov/mitch-bushuk/ Mitch Bushuk] (GFDL/Princeton)<br />
|''[[Applied/ACMS/absF19#Mitch Bushuk (GFDL/Princeton)|Arctic Sea Ice Predictability in a Changing Cryosphere]]''<br />
| Chen<br />
|-<br />
| Sept 20 (colloquium, 4pm, B239)<br />
|[https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|''[[Applied/ACMS/absF19#Jianfeng Lu (Duke)|How to "localize" the computation?]]''<br />
| Li<br />
|-<br />
| Sept 27<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Oct 4<br />
|[https://isearch.asu.edu/profile/2169104 Joel Nishimura] (Arizona State)<br />
|''[[Applied/ACMS/absF19#Joel Nishimura (Arizona State)|TBA]]''<br />
| Cochran<br />
|-<br />
| Oct 11<br />
|[http://pi.math.cornell.edu/~ajt/ Alex Townsend] (Cornell)<br />
|''[[Applied/ACMS/absF19#Alex Townsend (Cornell)|TBA]]''<br />
| Li<br />
|-<br />
| Oct 18<br />
|[http://mehta.mechse.illinois.edu/ Prashant G. Mehta] (UIUC)<br />
|''[[Applied/ACMS/absF19#Prashant G. Mehta (UIUC)|Title: What is the Lagrangian for Nonlinear Filtering?]]''<br />
| Chen<br />
|-<br />
| Oct 25<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Nov 1<br />
|[https://users.oden.utexas.edu/~tanbui/ Tan Bui] (UT-Austin)<br />
|''[[Applied/ACMS/absF19#Tan Bui (UT-Austin)|Title: TBA]]''<br />
| Li<br />
|-<br />
| Nov 8<br />
|[https://pan.labs.wisc.edu/staff/pan-wenxiao/ Wenxiao Pan] (UW)<br />
|''[[Applied/ACMS/absF19#Wenxiao Pan (UW)|TBA]]''<br />
| Spagnolie<br />
| <br />
|-<br />
| Nov 15<br />
|[https://www.math.wisc.edu/~pgera/ Prerna Gera] (UW)<br />
|''[[Applied/ACMS/absF19#Prerna Gera (UW)|TBA]]''<br />
| Spagnolie<br />
|-<br />
| Dec 6<br />
|[https://math.berkeley.edu/~linlin/ Lin Lin] (Berkeley)<br />
|''[[Applied/ACMS/absF19#Lin Lin (UC Berkeley)|TBA]]''<br />
| Li<br />
|-<br />
|}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2020|Spring 2020]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/Physical_Applied_Math&diff=17756Applied/Physical Applied Math2019-09-05T21:08:57Z<p>Spagnolie: /* Fall 2019 */</p>
<hr />
<div>= Physical Applied Math Group Meeting =<br />
<br />
*'''When:''' Thursdays at 4:00pm (unless there is a departmental meeting)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~spagnolie Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the Physical Applied Math mailing list:''' See the [https://admin.lists.wisc.edu/index.php?p=11&l=phys_appl_math mailing list website].<br />
<br />
== Fall 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Sept. 5<br />
|<br />
|Organizational meeting<br />
|-<br />
|Sept. 12<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Sept. 19<br />
|<br />
|<br />
|-<br />
|Sept. 26<br />
|<br />
|<br />
|-<br />
|Oct. 3<br />
|<br />
|<br />
|-<br />
|Oct. 10<br />
|<br />
|<br />
|-<br />
|Oct. 17<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Oct. 24<br />
|<br />
|<br />
|-<br />
|Oct. 31<br />
|<br />
|<br />
|-<br />
|Nov. 7<br />
|<br />
|<br />
|-<br />
|Nov. 11<br />
|<br />
|<br />
|-<br />
|Nov. 14<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Nov. 21<br />
|<br />
|Practice talks for DFD<br />
|-<br />
|Dec. 5<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Dec. 12<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|}<br />
<br />
== Spring 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Jan. 24<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Jan. 31<br />
|Jean-Luc<br />
|Organizational meeting; J-LT speaks on Vortices in a channel<br />
|-<br />
|Feb. 7<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Feb. 14<br />
|Yu<br />
|Suppression of phase separation by mixing<br />
|-<br />
|Feb. 21<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Feb. 28<br />
|Bryan<br />
|Riffles shuffles and mixing<br />
|-<br />
|Mar. 7<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Mar. 14<br />
|Hongfei<br />
|[https://www.springer.com/us/book/9781441916044 Diffusion across potential barriers]<br />
|-<br />
|Mar. 21<br />
|<br />
|''Spring Break''<br />
|-<br />
|Mar. 28<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Apr. 4<br />
|Ruojun<br />
|Internal diffusion-limited aggregation and rotor-router walks with drift<br />
|-<br />
|Apr. 11<br />
|Jiajia<br />
|[https://doi.org/10.1063/1.1675038 Freed, Wiener Integrals and Models of Stiff Polymer Chains]<br />
|-<br />
|Apr. 18<br />
|Wangping<br />
|Entanglement of frictionless strings<br />
|-<br />
|Apr. 25<br />
|John<br />
|pseudo-Anosov homeomorphisms with large entropy<br />
|-<br />
|May 2<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|May 9<br />
|Saverio<br />
|Internal capillary origami (see [https://journals.aps.org/pra/abstract/10.1103/PhysRevA.44.1182 Seifert et al, Shape transformations of vesicles] and [https://www.annualreviews.org/doi/full/10.1146/annurev-fluid-122316-050130?casa_token=lYj2Hmpn0fEAAAAA:269tjv-n7Odyzgam7PniTi5WmNPjP0qVrO7qxV0a8Ox_Tl4fNsawlxTves-ev7vI_h9Sx_0jKfwK Bico et al., Elastocapillarity (Review article)])<br />
|-<br />
|}<br />
<br />
== Fall 2018 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Jan. 31<br />
|Jean-Luc<br />
|Organizational meeting; J-LT speaks on Aldous and Diaconis, [https://www.ams.org/journals/bull/1999-36-04/S0273-0979-99-00796-X/ Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem]<br />
|-<br />
|Sep. 13<br />
|Son<br />
|[https://arxiv.org/abs/1808.06129 Rate of convergence for periodic homogenization of convex Hamilton-Jacobi equations in one dimension]<br />
|-<br />
|Sep. 20<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Sep. 27<br />
|[https://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)<br />
|[https://arxiv.org/abs/1806.03699 Dissipation enhancement by mixing]<br />
|-<br />
|Oct. 4<br />
|Gage<br />
|[https://www.dropbox.com/s/tjc4v03cwgzeppm/Group_talk_ab___notes.pdf Escape rates of random walks on free groups]<br />
|-<br />
|Oct. 11<br />
|<i>cancelled</i><br />
|<br />
|-<br />
|Oct. 18<br />
|Yu Feng<br />
|Relaxation enhancement for Advective Cahn-Hilliard (practice for specialty)<br />
|-<br />
|Oct. 25<br />
|Yu's specialty <b>2-3pm, B139</b><br />
|Relaxation enhancement for Advective Cahn-Hilliard<br />
|-<br />
|Nov. 1<br />
|Wil<br />
|Powers, [https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.82.1607; Dynamics of filaments and membranes in a viscous fluid]; Guven et al. [http://iopscience.iop.org/article/10.1088/1751-8113/47/35/355201/pdf Environmental bias and elastic curves on surfaces]<br />
|-<br />
|Nov. 8<br />
|Tom<br />
|[https://arxiv.org/abs/1809.01190 Mixing by jellyfish]<br />
|-<br />
|Nov. 15<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Nov. 22<br />
|<br />
|''Thanksgiving Break''<br />
|-<br />
|Nov. 29<br />
|Chris<br />
|Sun et al., [https://www.sciencedirect.com/science/article/pii/S0167278911001588 A mathematical model for the synchronization of cows]<br />
|-<br />
|Dec. 6<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|'''Dec. 12, B239'''<br />
|Jean-Luc<br />
|Cooking food by flipping<br />
|-<br />
|Dec. 13<br />
|<br />
|''Faculty Meeting''<br />
|}<br />
<br />
== Archived semesters ==<br />
*[[Applied/Physical_Applied_Math/Spring2018|Spring 2018]]<br />
*[[Applied/Physical_Applied_Math/Fall2017|Fall 2017]]<br />
*[[Applied/Physical_Applied_Math/Spring2017|Spring 2017]]<br />
*[[Applied/Physical_Applied_Math/Fall2016|Fall 2016]]<br />
*[[Applied/Physical_Applied_Math/Spring2016|Spring 2016]]<br />
*[[Applied/Physical_Applied_Math/Fall2015|Fall 2015]]<br />
*[[Applied/Physical_Applied_Math/Spring2015|Spring 2015]]<br />
*[[Applied/Physical_Applied_Math/Summer2014|Summer 2014]]<br />
*[[Applied/Physical_Applied_Math/Spring2014|Spring 2014]]<br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/Physical_Applied_Math&diff=17755Applied/Physical Applied Math2019-09-05T21:07:11Z<p>Spagnolie: /* Fall 2019 */</p>
<hr />
<div>= Physical Applied Math Group Meeting =<br />
<br />
*'''When:''' Thursdays at 4:00pm (unless there is a departmental meeting)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~spagnolie Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the Physical Applied Math mailing list:''' See the [https://admin.lists.wisc.edu/index.php?p=11&l=phys_appl_math mailing list website].<br />
<br />
== Fall 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Sept. 5<br />
|<br />
|Organizational meeting<br />
|-<br />
|Sept. 12<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Sept. 19<br />
|<br />
|<br />
|-<br />
|Sept. 26<br />
|<br />
|<br />
|-<br />
|Oct. 3<br />
|<br />
|<br />
|-<br />
|Oct. 10<br />
|<br />
|<br />
|-<br />
|Oct. 17<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Oct. 24<br />
|<br />
|<br />
|-<br />
|Oct. 31<br />
|<br />
|<br />
|-<br />
|Nov. 7<br />
|<br />
|<br />
|-<br />
|Nov. 11<br />
|<br />
|<br />
|-<br />
|Nov. 14<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Nov. 21<br />
|<br />
|<br />
|-<br />
|Dec. 5<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Dec. 12<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|}<br />
<br />
== Spring 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Jan. 24<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Jan. 31<br />
|Jean-Luc<br />
|Organizational meeting; J-LT speaks on Vortices in a channel<br />
|-<br />
|Feb. 7<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Feb. 14<br />
|Yu<br />
|Suppression of phase separation by mixing<br />
|-<br />
|Feb. 21<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Feb. 28<br />
|Bryan<br />
|Riffles shuffles and mixing<br />
|-<br />
|Mar. 7<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Mar. 14<br />
|Hongfei<br />
|[https://www.springer.com/us/book/9781441916044 Diffusion across potential barriers]<br />
|-<br />
|Mar. 21<br />
|<br />
|''Spring Break''<br />
|-<br />
|Mar. 28<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Apr. 4<br />
|Ruojun<br />
|Internal diffusion-limited aggregation and rotor-router walks with drift<br />
|-<br />
|Apr. 11<br />
|Jiajia<br />
|[https://doi.org/10.1063/1.1675038 Freed, Wiener Integrals and Models of Stiff Polymer Chains]<br />
|-<br />
|Apr. 18<br />
|Wangping<br />
|Entanglement of frictionless strings<br />
|-<br />
|Apr. 25<br />
|John<br />
|pseudo-Anosov homeomorphisms with large entropy<br />
|-<br />
|May 2<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|May 9<br />
|Saverio<br />
|Internal capillary origami (see [https://journals.aps.org/pra/abstract/10.1103/PhysRevA.44.1182 Seifert et al, Shape transformations of vesicles] and [https://www.annualreviews.org/doi/full/10.1146/annurev-fluid-122316-050130?casa_token=lYj2Hmpn0fEAAAAA:269tjv-n7Odyzgam7PniTi5WmNPjP0qVrO7qxV0a8Ox_Tl4fNsawlxTves-ev7vI_h9Sx_0jKfwK Bico et al., Elastocapillarity (Review article)])<br />
|-<br />
|}<br />
<br />
== Fall 2018 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Jan. 31<br />
|Jean-Luc<br />
|Organizational meeting; J-LT speaks on Aldous and Diaconis, [https://www.ams.org/journals/bull/1999-36-04/S0273-0979-99-00796-X/ Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem]<br />
|-<br />
|Sep. 13<br />
|Son<br />
|[https://arxiv.org/abs/1808.06129 Rate of convergence for periodic homogenization of convex Hamilton-Jacobi equations in one dimension]<br />
|-<br />
|Sep. 20<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Sep. 27<br />
|[https://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)<br />
|[https://arxiv.org/abs/1806.03699 Dissipation enhancement by mixing]<br />
|-<br />
|Oct. 4<br />
|Gage<br />
|[https://www.dropbox.com/s/tjc4v03cwgzeppm/Group_talk_ab___notes.pdf Escape rates of random walks on free groups]<br />
|-<br />
|Oct. 11<br />
|<i>cancelled</i><br />
|<br />
|-<br />
|Oct. 18<br />
|Yu Feng<br />
|Relaxation enhancement for Advective Cahn-Hilliard (practice for specialty)<br />
|-<br />
|Oct. 25<br />
|Yu's specialty <b>2-3pm, B139</b><br />
|Relaxation enhancement for Advective Cahn-Hilliard<br />
|-<br />
|Nov. 1<br />
|Wil<br />
|Powers, [https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.82.1607; Dynamics of filaments and membranes in a viscous fluid]; Guven et al. [http://iopscience.iop.org/article/10.1088/1751-8113/47/35/355201/pdf Environmental bias and elastic curves on surfaces]<br />
|-<br />
|Nov. 8<br />
|Tom<br />
|[https://arxiv.org/abs/1809.01190 Mixing by jellyfish]<br />
|-<br />
|Nov. 15<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Nov. 22<br />
|<br />
|''Thanksgiving Break''<br />
|-<br />
|Nov. 29<br />
|Chris<br />
|Sun et al., [https://www.sciencedirect.com/science/article/pii/S0167278911001588 A mathematical model for the synchronization of cows]<br />
|-<br />
|Dec. 6<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|'''Dec. 12, B239'''<br />
|Jean-Luc<br />
|Cooking food by flipping<br />
|-<br />
|Dec. 13<br />
|<br />
|''Faculty Meeting''<br />
|}<br />
<br />
== Archived semesters ==<br />
*[[Applied/Physical_Applied_Math/Spring2018|Spring 2018]]<br />
*[[Applied/Physical_Applied_Math/Fall2017|Fall 2017]]<br />
*[[Applied/Physical_Applied_Math/Spring2017|Spring 2017]]<br />
*[[Applied/Physical_Applied_Math/Fall2016|Fall 2016]]<br />
*[[Applied/Physical_Applied_Math/Spring2016|Spring 2016]]<br />
*[[Applied/Physical_Applied_Math/Fall2015|Fall 2015]]<br />
*[[Applied/Physical_Applied_Math/Spring2015|Spring 2015]]<br />
*[[Applied/Physical_Applied_Math/Summer2014|Summer 2014]]<br />
*[[Applied/Physical_Applied_Math/Spring2014|Spring 2014]]<br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/Physical_Applied_Math&diff=17717Applied/Physical Applied Math2019-08-31T03:05:14Z<p>Spagnolie: /* Physical Applied Math Group Meeting */</p>
<hr />
<div>= Physical Applied Math Group Meeting =<br />
<br />
*'''When:''' Thursdays at 4:00pm (unless there is a departmental meeting)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~spagnolie Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the Physical Applied Math mailing list:''' See the [https://admin.lists.wisc.edu/index.php?p=11&l=phys_appl_math mailing list website].<br />
<br />
== Fall 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Sept. 5<br />
|<br />
|Organizational meeting<br />
|-<br />
|Sept. 12<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Sept. 19<br />
|<br />
|<br />
|-<br />
|Sept. 26<br />
|<br />
|<br />
|-<br />
|Oct. 3<br />
|<br />
|<br />
|-<br />
|Oct. 10<br />
|<br />
|<br />
|-<br />
|Oct. 17<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Oct. 24<br />
|<br />
|<br />
|-<br />
|Oct. 31<br />
|<br />
|<br />
|-<br />
|Nov. 7<br />
|<br />
|<br />
|-<br />
|Nov. 11<br />
|<br />
|<br />
|-<br />
|Nov. 14<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Nov. 21<br />
|<br />
|<br />
|-<br />
|Nov. 28<br />
|<br />
|<br />
|-<br />
|Dec. 5<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Dec. 12<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|}<br />
<br />
<br />
== Spring 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Jan. 24<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Jan. 31<br />
|Jean-Luc<br />
|Organizational meeting; J-LT speaks on Vortices in a channel<br />
|-<br />
|Feb. 7<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Feb. 14<br />
|Yu<br />
|Suppression of phase separation by mixing<br />
|-<br />
|Feb. 21<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Feb. 28<br />
|Bryan<br />
|Riffles shuffles and mixing<br />
|-<br />
|Mar. 7<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Mar. 14<br />
|Hongfei<br />
|[https://www.springer.com/us/book/9781441916044 Diffusion across potential barriers]<br />
|-<br />
|Mar. 21<br />
|<br />
|''Spring Break''<br />
|-<br />
|Mar. 28<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Apr. 4<br />
|Ruojun<br />
|Internal diffusion-limited aggregation and rotor-router walks with drift<br />
|-<br />
|Apr. 11<br />
|Jiajia<br />
|[https://doi.org/10.1063/1.1675038 Freed, Wiener Integrals and Models of Stiff Polymer Chains]<br />
|-<br />
|Apr. 18<br />
|Wangping<br />
|Entanglement of frictionless strings<br />
|-<br />
|Apr. 25<br />
|John<br />
|pseudo-Anosov homeomorphisms with large entropy<br />
|-<br />
|May 2<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|May 9<br />
|Saverio<br />
|Internal capillary origami (see [https://journals.aps.org/pra/abstract/10.1103/PhysRevA.44.1182 Seifert et al, Shape transformations of vesicles] and [https://www.annualreviews.org/doi/full/10.1146/annurev-fluid-122316-050130?casa_token=lYj2Hmpn0fEAAAAA:269tjv-n7Odyzgam7PniTi5WmNPjP0qVrO7qxV0a8Ox_Tl4fNsawlxTves-ev7vI_h9Sx_0jKfwK Bico et al., Elastocapillarity (Review article)])<br />
|-<br />
|}<br />
<br />
== Fall 2018 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Jan. 31<br />
|Jean-Luc<br />
|Organizational meeting; J-LT speaks on Aldous and Diaconis, [https://www.ams.org/journals/bull/1999-36-04/S0273-0979-99-00796-X/ Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem]<br />
|-<br />
|Sep. 13<br />
|Son<br />
|[https://arxiv.org/abs/1808.06129 Rate of convergence for periodic homogenization of convex Hamilton-Jacobi equations in one dimension]<br />
|-<br />
|Sep. 20<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Sep. 27<br />
|[https://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)<br />
|[https://arxiv.org/abs/1806.03699 Dissipation enhancement by mixing]<br />
|-<br />
|Oct. 4<br />
|Gage<br />
|[https://www.dropbox.com/s/tjc4v03cwgzeppm/Group_talk_ab___notes.pdf Escape rates of random walks on free groups]<br />
|-<br />
|Oct. 11<br />
|<i>cancelled</i><br />
|<br />
|-<br />
|Oct. 18<br />
|Yu Feng<br />
|Relaxation enhancement for Advective Cahn-Hilliard (practice for specialty)<br />
|-<br />
|Oct. 25<br />
|Yu's specialty <b>2-3pm, B139</b><br />
|Relaxation enhancement for Advective Cahn-Hilliard<br />
|-<br />
|Nov. 1<br />
|Wil<br />
|Powers, [https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.82.1607; Dynamics of filaments and membranes in a viscous fluid]; Guven et al. [http://iopscience.iop.org/article/10.1088/1751-8113/47/35/355201/pdf Environmental bias and elastic curves on surfaces]<br />
|-<br />
|Nov. 8<br />
|Tom<br />
|[https://arxiv.org/abs/1809.01190 Mixing by jellyfish]<br />
|-<br />
|Nov. 15<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Nov. 22<br />
|<br />
|''Thanksgiving Break''<br />
|-<br />
|Nov. 29<br />
|Chris<br />
|Sun et al., [https://www.sciencedirect.com/science/article/pii/S0167278911001588 A mathematical model for the synchronization of cows]<br />
|-<br />
|Dec. 6<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|'''Dec. 12, B239'''<br />
|Jean-Luc<br />
|Cooking food by flipping<br />
|-<br />
|Dec. 13<br />
|<br />
|''Faculty Meeting''<br />
|}<br />
<br />
== Archived semesters ==<br />
*[[Applied/Physical_Applied_Math/Spring2018|Spring 2018]]<br />
*[[Applied/Physical_Applied_Math/Fall2017|Fall 2017]]<br />
*[[Applied/Physical_Applied_Math/Spring2017|Spring 2017]]<br />
*[[Applied/Physical_Applied_Math/Fall2016|Fall 2016]]<br />
*[[Applied/Physical_Applied_Math/Spring2016|Spring 2016]]<br />
*[[Applied/Physical_Applied_Math/Fall2015|Fall 2015]]<br />
*[[Applied/Physical_Applied_Math/Spring2015|Spring 2015]]<br />
*[[Applied/Physical_Applied_Math/Summer2014|Summer 2014]]<br />
*[[Applied/Physical_Applied_Math/Spring2014|Spring 2014]]<br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=17636Applied/ACMS2019-08-13T15:26:09Z<p>Spagnolie: /* Fall 2019 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li], [http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Fall 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Sept 6<br />
|[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda Núñez] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Leonardo Andrés Zepeda Núñez (UW-Madison)|TBA]]''<br />
| Li<br />
|-<br />
| Sept 13<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Sept 14-15<br />
|[https://www.ams.org/meetings/sectional/2267_program.html AMS sectional meeting]<br />
| UW-Madison<br />
|-<br />
| Sept 20<br />
|[https://www.gfdl.noaa.gov/mitch-bushuk/ Mitch Bushuk] (GFDL/Princeton)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| Chen<br />
|-<br />
| Sept 20 (colloquium, 4pm, B239)<br />
|[https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|''[[Applied/ACMS/absF19#Jianfeng Lu (Duke)|TBA]]''<br />
| Li<br />
|-<br />
| Sept 27<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Oct 4<br />
|[https://isearch.asu.edu/profile/2169104 Joel Nishimura] (Arizona State)<br />
|''[[Applied/ACMS/absF19#Joel Nishimura (Arizona State)|TBA]]''<br />
| Cochran<br />
|-<br />
| Oct 11<br />
|[http://pi.math.cornell.edu/~ajt/ Alex Townsend] (Cornell)<br />
|''[[Applied/ACMS/absF19#Alex Townsend (Cornell)|TBA]]''<br />
| Li<br />
|-<br />
| Oct 18<br />
|[https://pan.labs.wisc.edu/staff/pan-wenxiao/ Wenxiao Pan] (UW)<br />
|''[[Applied/ACMS/absF19#Wenxiao Pan (UW)|TBA]]''<br />
| Spagnolie<br />
|-<br />
| Oct 25<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Nov 1<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Nov 8<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Nov 15<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Dec 6<br />
|[https://math.berkeley.edu/~linlin/ Lin Lin] (Berkeley)<br />
|''[[Applied/ACMS/absF19#Lin Lin (UC Berkeley)|TBA]]''<br />
| Li<br />
|-<br />
|}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2020|Spring 2020]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=17635Applied/ACMS2019-08-13T15:25:54Z<p>Spagnolie: /* Fall 2019 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li], [http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Fall 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Sept 6<br />
|[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda Núñez] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Leonardo Andrés Zepeda Núñez (UW-Madison)|TBA]]''<br />
| Li<br />
|-<br />
| Sept 13<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Sept 14-15<br />
|[https://www.ams.org/meetings/sectional/2267_program.html AMS sectional meeting]<br />
| UW-Madison<br />
|-<br />
| Sept 20<br />
|[https://www.gfdl.noaa.gov/mitch-bushuk/ Mitch Bushuk] (GFDL/Princeton)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| Chen<br />
|-<br />
| Sept 20 (colloquium, 4pm, B239)<br />
|[https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|''[[Applied/ACMS/absF19#Jianfeng Lu (Duke)|TBA]]''<br />
| Li<br />
|-<br />
| Sept 27<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Oct 4<br />
|[https://isearch.asu.edu/profile/2169104 Joel Nishimura] (Arizona State)<br />
|''[[Applied/ACMS/absF19#Joel Nishimura (Arizona State)|TBA]]''<br />
| Cochran<br />
|-<br />
| Oct 11<br />
|[http://pi.math.cornell.edu/~ajt/ Alex Townsend] (Cornell)<br />
|''[[Applied/ACMS/absF19#Alex Townsend (Cornell)|TBA]]''<br />
| Li<br />
|-<br />
| Oct 18<br />
|[https://pan.labs.wisc.edu/staff/pan-wenxiao/ Wenxiao Pan] (UW)<br />
|''[[Applied/ACMS/absF19#Wenxiao Pan (UW)|TBA]]''<br />
| Spagnolie<br />
|-<br />
| Oct 25<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Nov 1<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Nov 8<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Nov 15<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Nov 22<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Dec 6<br />
|[https://math.berkeley.edu/~linlin/ Lin Lin] (Berkeley)<br />
|''[[Applied/ACMS/absF19#Lin Lin (UC Berkeley)|TBA]]''<br />
| Li<br />
|-<br />
|}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2020|Spring 2020]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=17634Applied/ACMS2019-08-13T15:22:12Z<p>Spagnolie: /* Fall 2019 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li], [http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Fall 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Sept 6<br />
|[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda Núñez] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Leonardo Andrés Zepeda Núñez (UW-Madison)|TBA]]''<br />
| Li<br />
|-<br />
| Sept 13<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Sept 14-15<br />
|[https://www.ams.org/meetings/sectional/2267_program.html AMS sectional meeting]<br />
| UW-Madison<br />
|-<br />
| Sept 20<br />
|[https://www.gfdl.noaa.gov/mitch-bushuk/ Mitch Bushuk] (GFDL/Princeton)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| Chen<br />
|-<br />
| Sept 20 (colloquium, 4pm, B239)<br />
|[https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|''[[Applied/ACMS/absF19#Jianfeng Lu (Duke)|TBA]]''<br />
| Li<br />
|-<br />
| Sept 27<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Oct 4<br />
|[https://isearch.asu.edu/profile/2169104 Joel Nishimura] (Arizona State)<br />
|''[[Applied/ACMS/absF19#Joel Nishimura (Arizona State)|TBA]]''<br />
| Cochran<br />
|-<br />
| Oct 11<br />
|[http://pi.math.cornell.edu/~ajt/ Alex Townsend] (Cornell)<br />
|''[[Applied/ACMS/absF19#Alex Townsend (Cornell)|TBA]]''<br />
| Li<br />
|-<br />
| Oct 18<br />
|[https://pan.labs.wisc.edu/staff/pan-wenxiao/ Wenxiao Pan] (UW)<br />
|''[[Applied/ACMS/absF19#Wenxiao Pan (UW)|TBA]]''<br />
| Spagnolie<br />
|-<br />
| Oct 25<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Nov 1<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Nov 8<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Nov 15<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Nov 22<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Nov 29<br />
|<br />
|''[[Applied/ACMS/absF19# TBA|TBA]]''<br />
| <br />
|-<br />
| Dec 6<br />
|[https://math.berkeley.edu/~linlin/ Lin Lin] (Berkeley)<br />
|''[[Applied/ACMS/absF19#Lin Lin (UC Berkeley)|TBA]]''<br />
| Li<br />
|-<br />
|}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2020|Spring 2020]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS/Spring2020&diff=17584Applied/ACMS/Spring20202019-07-25T14:15:15Z<p>Spagnolie: /* Spring 2020 */</p>
<hr />
<div>== Spring 2020 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Jan 31<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 7<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 14<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 21<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Feb 28<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 6<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 13<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 20<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Mar 27<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Apr 3<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Apr 10<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Apr 17<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host<br />
|-<br />
| Apr 24<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS/Spring2020&diff=17583Applied/ACMS/Spring20202019-07-25T14:13:13Z<p>Spagnolie: Created page with "== Spring 2020 == {| cellpadding="8" !align="left" | date !align="left" | speaker !align="left" | title !align="left" | host(s) |- | Jan 24 |[website] (institution) |''A..."</p>
<hr />
<div>== Spring 2020 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Jan 24<br />
|[website] (institution)<br />
|''[[Applied/ACMS/absS20#Speaker (institution)|title]]''<br />
| host</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=17582Applied/ACMS2019-07-25T14:11:59Z<p>Spagnolie: </p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li], [http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Fall 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Sept 6<br />
|[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda Núñez] (UW-Madison)<br />
|''[[Applied/ACMS/absF19#Leonardo Andrés Zepeda Núñez (UW-Madison)|TBA]]''<br />
| host<br />
|-<br />
| Sept 13<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Sept 14-15<br />
|[https://www.ams.org/meetings/sectional/2267_program.html AMS sectional meeting]<br />
| UW-Madison<br />
|-<br />
| Sept 20<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Sept 20 (colloquium, 4pm, B239)<br />
|[https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|''[[Applied/ACMS/absF19#Jianfeng Lu (Duke)|TBA]]''<br />
| host<br />
|-<br />
| Sept 27<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Oct 4<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Oct 11<br />
|[http://pi.math.cornell.edu/~ajt/ Alex Townsend] (Cornell)<br />
|''[[Applied/ACMS/absF19#Alex Townsend (Cornell)|TBA]]''<br />
| host<br />
|-<br />
| Oct 18<br />
|[https://pan.labs.wisc.edu/staff/pan-wenxiao/ Wenxiao Pan] (UW)<br />
|''[[Applied/ACMS/absF19#Wenxiao Pan (UW)|TBA]]''<br />
| Spagnolie<br />
|-<br />
| Dec 6<br />
|[https://math.berkeley.edu/~linlin/ Lin Lin] (Berkeley)<br />
|''[[Applied/ACMS/absF19#Lin Lin (UC Berkeley)|TBA]]''<br />
| host<br />
|-<br />
|}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2020|Spring 2020]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17574Applied2019-07-19T20:26:40Z<p>Spagnolie: </p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Leonardo Andrés Zepeda-Núñez''' has joined the department (Fall 2019). <!-- Updated by saverio 2019-07-19 --><br />
<br />
* '''Amy Cochran''' has joined the department (Fall 2019). <!-- Updated by saverio 2019-07-19 --><br />
<br />
* '''Nan Chen''' has joined the department (Fall 2018). <!-- Updated by saverio 2019-07-19 --><br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
<!-- * '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --> <br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [https://indico.flatironinstitute.org/event/30/ Mathematical Fluids, Materials & Biology] Ann Arbor, MI, June 12-15, 2019<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
<!-- * [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID) --><br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://today.wisc.edu/events/search?utf8=%E2%9C%93&search%5Bterm%5D=aos+colloquium AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[https://www.math.wisc.edu/~chennan/ Nan Chen:] (Courant, 2016) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[https://sites.google.com/site/amylouisecochran/home Amy Cochran:] (Cornell, 2013) population health science, computational psychiatry.<br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda-Núñez:] (MIT, 2015) machine learning, numerical analysis, wave propagation, inverse problems.<br />
<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids<br />
<br />
[https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[https://www.physics.wisc.edu/people/wilson-bennettlough Wilson Lough:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!-- [http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)<br />
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (TBA)<br />
* Math 704: Methods of Applied Mathematics II (TBA)<br />
* Math 715: Methods of Computational Math II (TBA)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17573Applied2019-07-19T20:23:41Z<p>Spagnolie: /* News and opportunities */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Leonardo Andrés Zepeda-Núñez''' has joined the department (Fall 2019). <!-- Updated by saverio 2019-07-19 --><br />
<br />
* '''Amy Cochran''' has joined the department (Fall 2019). <!-- Updated by saverio 2019-07-19 --><br />
<br />
* '''Nan Chen''' has joined the department (Fall 2018). <!-- Updated by saverio 2019-07-19 --><br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
<!-- * '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --> <br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [https://indico.flatironinstitute.org/event/30/ Mathematical Fluids, Materials & Biology] Ann Arbor, MI, June 12-15, 2019<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[https://www.math.wisc.edu/~chennan/ Nan Chen:] (Courant, 2016) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[https://sites.google.com/site/amylouisecochran/home Amy Cochran:] (Cornell, 2013) population health science, computational psychiatry.<br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda-Núñez:] (MIT, 2015) machine learning, numerical analysis, wave propagation, inverse problems.<br />
<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids<br />
<br />
[https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[https://www.physics.wisc.edu/people/wilson-bennettlough Wilson Lough:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!-- [http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)<br />
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (TBA)<br />
* Math 704: Methods of Applied Mathematics II (TBA)<br />
* Math 715: Methods of Computational Math II (TBA)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17572Applied2019-07-19T20:23:01Z<p>Spagnolie: /* News and opportunities */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Leonardo Andrés Zepeda-Núñez''' has joined the department (Fall 2019). <!-- Updated by saverio 2019-07-19 --><br />
<br />
* '''Amy Cochran''' has joined the department (Fall 2019). <!-- Updated by saverio 2019-07-19 --><br />
<br />
* '''Nan Chen''' has joined the department (Fall 2018). <!-- Updated by saverio 2019-07-19 --><br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [https://indico.flatironinstitute.org/event/30/ Mathematical Fluids, Materials & Biology] Ann Arbor, MI, June 12-15, 2019<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[https://www.math.wisc.edu/~chennan/ Nan Chen:] (Courant, 2016) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[https://sites.google.com/site/amylouisecochran/home Amy Cochran:] (Cornell, 2013) population health science, computational psychiatry.<br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda-Núñez:] (MIT, 2015) machine learning, numerical analysis, wave propagation, inverse problems.<br />
<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids<br />
<br />
[https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[https://www.physics.wisc.edu/people/wilson-bennettlough Wilson Lough:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!-- [http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)<br />
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (TBA)<br />
* Math 704: Methods of Applied Mathematics II (TBA)<br />
* Math 715: Methods of Computational Math II (TBA)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17571Applied2019-07-19T20:21:01Z<p>Spagnolie: /* Tenured and tenure-track faculty */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [https://indico.flatironinstitute.org/event/30/ Mathematical Fluids, Materials & Biology] Ann Arbor, MI, June 12-15, 2019<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[https://www.math.wisc.edu/~chennan/ Nan Chen:] (Courant, 2016) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[https://sites.google.com/site/amylouisecochran/home Amy Cochran:] (Cornell, 2013) population health science, computational psychiatry.<br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda-Núñez:] (MIT, 2015) machine learning, numerical analysis, wave propagation, inverse problems.<br />
<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids<br />
<br />
[https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[https://www.physics.wisc.edu/people/wilson-bennettlough Wilson Lough:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!-- [http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)<br />
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (TBA)<br />
* Math 704: Methods of Applied Mathematics II (TBA)<br />
* Math 715: Methods of Computational Math II (TBA)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17570Applied2019-07-19T20:12:53Z<p>Spagnolie: /* Tenured and tenure-track faculty */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [https://indico.flatironinstitute.org/event/30/ Mathematical Fluids, Materials & Biology] Ann Arbor, MI, June 12-15, 2019<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[https://www.math.wisc.edu/~chennan/ Nan Chen:] (Courant, 2016) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda-Núñez:] (MIT, 2015) machine learning, numerical analysis, wave propagation, inverse problems.<br />
<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids<br />
<br />
[https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[https://www.physics.wisc.edu/people/wilson-bennettlough Wilson Lough:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!-- [http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)<br />
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (TBA)<br />
* Math 704: Methods of Applied Mathematics II (TBA)<br />
* Math 715: Methods of Computational Math II (TBA)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17569Applied2019-07-19T20:06:32Z<p>Spagnolie: /* Workshops */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [https://indico.flatironinstitute.org/event/30/ Mathematical Fluids, Materials & Biology] Ann Arbor, MI, June 12-15, 2019<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids<br />
<br />
[https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[https://www.physics.wisc.edu/people/wilson-bennettlough Wilson Lough:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!-- [http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)<br />
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (TBA)<br />
* Math 704: Methods of Applied Mathematics II (TBA)<br />
* Math 715: Methods of Computational Math II (TBA)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=17515Applied/ACMS2019-07-12T03:50:24Z<p>Spagnolie: /* Fall 2019 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li], [http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Fall 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Sept 6<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Sept 13<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Sept 14-15<br />
|[https://www.ams.org/meetings/sectional/2267_program.html AMS sectional meeting]<br />
| UW-Madison<br />
|-<br />
| Sept 20<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Sept 20 (colloquium, 4pm, B239)<br />
|[https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|''[[Applied/ACMS/absF19#Jianfeng Lu (Duke)|TBA]]''<br />
| host<br />
|-<br />
| Sept 27<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Oct 4<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Oct 11<br />
|[http://pi.math.cornell.edu/~ajt/ Alex Townsend] (Cornell)<br />
|''[[Applied/ACMS/absF19#Alex Townsend (Cornell)|TBA]]''<br />
| host<br />
|-<br />
| Oct 18<br />
|[https://pan.labs.wisc.edu/staff/pan-wenxiao/ Wenxiao Pan] (UW)<br />
|''[[Applied/ACMS/absF19#Wenxiao Pan (UW)|TBA]]''<br />
| Spagnolie<br />
|-<br />
|}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=17514Applied/ACMS2019-07-12T03:49:25Z<p>Spagnolie: </p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li], [http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Fall 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Sept 6<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Sept 13<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Sept 14-15<br />
|[https://www.ams.org/meetings/sectional/2267_program.html AMS sectional meeting]<br />
| UW-Madison<br />
|-<br />
| Sept 20<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Sept 20 (colloquium, 4pm, B239)<br />
|[https://services.math.duke.edu/~jianfeng/ Jianfeng Lu] (Duke)<br />
|''[[Applied/ACMS/absF19#Jianfeng Lu (Duke)|TBA]]''<br />
| host<br />
|-<br />
| Sept 27<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Oct 4<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#speaker (institute)|TBA]]''<br />
| host<br />
|-<br />
| Oct 11<br />
|[http://pi.math.cornell.edu/~ajt/ Alex Townsend] (Cornell)<br />
|''[[Applied/ACMS/absF19#Alex Townsend (Cornell)|TBA]]''<br />
| host<br />
|-<br />
| Oct 18<br />
|[webpage speaker] (institute)<br />
|''[[Applied/ACMS/absF19#Wenxiao Pan (UW)|TBA]]''<br />
| Spagnolie<br />
|-<br />
|}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17454Applied2019-05-16T22:00:56Z<p>Spagnolie: /* Current Graduate Students */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids<br />
<br />
[https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[https://www.physics.wisc.edu/people/wilson-bennettlough Wilson Lough:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!-- [http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)<br />
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (TBA)<br />
* Math 704: Methods of Applied Mathematics II (TBA)<br />
* Math 715: Methods of Computational Math II (TBA)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17453Applied2019-05-16T21:59:55Z<p>Spagnolie: /* Postdoctoral fellows and researchers */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
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* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
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* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
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== Workshops ==<br />
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* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
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== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
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''other seminar series of interest''<br />
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* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
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[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
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[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
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[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
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[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
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[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
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[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
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[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
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[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
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[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
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[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
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[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
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[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
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[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
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[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
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<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
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== Postdoctoral fellows and researchers ==<br />
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[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
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[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
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[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
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[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
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[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
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[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids<br />
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[https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions<br />
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[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
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[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
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<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
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== Current Graduate Students ==<br />
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[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
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[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
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[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
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[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
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[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
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Liu Liu: Student of Shi Jin<br />
<br />
[https://www.physics.wisc.edu/people/wilson-bennettlough Wilson Lough:] Student of Saverio Spagnolie.<br />
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[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
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[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
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[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
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[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
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[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
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[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
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[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
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[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
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Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
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<br><br />
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== Graduate course offerings ==<br />
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=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)<br />
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (TBA)<br />
* Math 704: Methods of Applied Mathematics II (TBA)<br />
* Math 715: Methods of Computational Math II (TBA)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
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=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
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<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
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* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17452Applied2019-05-16T21:59:31Z<p>Spagnolie: /* Postdoctoral fellows and researchers */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions<br />
<br />
<!-- [https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids --><br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[https://www.physics.wisc.edu/people/wilson-bennettlough Wilson Lough:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)<br />
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (TBA)<br />
* Math 704: Methods of Applied Mathematics II (TBA)<br />
* Math 715: Methods of Computational Math II (TBA)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17451Applied2019-05-16T21:59:20Z<p>Spagnolie: /* Postdoctoral fellows and researchers */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions<br />
<br />
<!-- [https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids --><br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[https://www.physics.wisc.edu/people/wilson-bennettlough Wilson Lough:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)<br />
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (TBA)<br />
* Math 704: Methods of Applied Mathematics II (TBA)<br />
* Math 715: Methods of Computational Math II (TBA)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17450Applied2019-05-16T21:58:03Z<p>Spagnolie: /* Current Graduate Students */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[https://www.physics.wisc.edu/people/wilson-bennettlough Wilson Lough:] Student of Saverio Spagnolie.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)<br />
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (TBA)<br />
* Math 704: Methods of Applied Mathematics II (TBA)<br />
* Math 715: Methods of Computational Math II (TBA)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17449Applied2019-05-16T21:21:28Z<p>Spagnolie: /* Graduate course offerings */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)<br />
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (TBA)<br />
* Math 704: Methods of Applied Mathematics II (TBA)<br />
* Math 715: Methods of Computational Math II (TBA)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17448Applied2019-05-16T21:20:22Z<p>Spagnolie: /* Graduate course offerings */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)<br />
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics: (Topic and instructor TBA)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (TBA)<br />
* Math 704: Methods of Applied Mathematics II (TBA)<br />
* Math 715: Methods of Computational Math II (TBA)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/Physical_Applied_Math&diff=17433Applied/Physical Applied Math2019-05-08T14:50:56Z<p>Spagnolie: /* Spring 2019 */</p>
<hr />
<div>= Physical Applied Math Group Meeting =<br />
<br />
*'''When:''' Thursdays at 4:00pm (unless there is a departmental meeting)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~spagnolie Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the Physical Applied Math mailing list:''' See the [https://admin.lists.wisc.edu/index.php?p=11&l=phys_appl_math mailing list website].<br />
<br />
<br><br />
<br />
== Spring 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Jan. 24<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Jan. 31<br />
|Jean-Luc<br />
|Organizational meeting; J-LT speaks on Vortices in a channel<br />
|-<br />
|Feb. 7<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Feb. 14<br />
|Yu<br />
|Suppression of phase separation by mixing<br />
|-<br />
|Feb. 21<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Feb. 28<br />
|Bryan<br />
|Riffles shuffles and mixing<br />
|-<br />
|Mar. 7<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Mar. 14<br />
|Hongfei<br />
|[https://www.springer.com/us/book/9781441916044 Diffusion across potential barriers]<br />
|-<br />
|Mar. 21<br />
|<br />
|''Spring Break''<br />
|-<br />
|Mar. 28<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Apr. 4<br />
|Ruojun<br />
|Internal diffusion-limited aggregation and rotor-router walks with drift<br />
|-<br />
|Apr. 11<br />
|Jiajia<br />
|[https://doi.org/10.1063/1.1675038 Freed, Wiener Integrals and Models of Stiff Polymer Chains]<br />
|-<br />
|Apr. 18<br />
|Wangping<br />
|Entanglement of frictionless strings<br />
|-<br />
|Apr. 25<br />
|John<br />
|pseudo-Anosov homeomorphisms with large entropy<br />
|-<br />
|May 2<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|May 9<br />
|Saverio<br />
|Internal capillary origami (see [https://journals.aps.org/pra/abstract/10.1103/PhysRevA.44.1182 Seifert et al, Shape transformations of vesicles] and [https://www.annualreviews.org/doi/full/10.1146/annurev-fluid-122316-050130?casa_token=lYj2Hmpn0fEAAAAA:269tjv-n7Odyzgam7PniTi5WmNPjP0qVrO7qxV0a8Ox_Tl4fNsawlxTves-ev7vI_h9Sx_0jKfwK Bico et al., Elastocapillarity (Review article)])<br />
|-<br />
|}<br />
<br />
== Fall 2018 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Jan. 31<br />
|Jean-Luc<br />
|Organizational meeting; J-LT speaks on Aldous and Diaconis, [https://www.ams.org/journals/bull/1999-36-04/S0273-0979-99-00796-X/ Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem]<br />
|-<br />
|Sep. 13<br />
|Son<br />
|[https://arxiv.org/abs/1808.06129 Rate of convergence for periodic homogenization of convex Hamilton-Jacobi equations in one dimension]<br />
|-<br />
|Sep. 20<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Sep. 27<br />
|[https://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)<br />
|[https://arxiv.org/abs/1806.03699 Dissipation enhancement by mixing]<br />
|-<br />
|Oct. 4<br />
|Gage<br />
|[https://www.dropbox.com/s/tjc4v03cwgzeppm/Group_talk_ab___notes.pdf Escape rates of random walks on free groups]<br />
|-<br />
|Oct. 11<br />
|<i>cancelled</i><br />
|<br />
|-<br />
|Oct. 18<br />
|Yu Feng<br />
|Relaxation enhancement for Advective Cahn-Hilliard (practice for specialty)<br />
|-<br />
|Oct. 25<br />
|Yu's specialty <b>2-3pm, B139</b><br />
|Relaxation enhancement for Advective Cahn-Hilliard<br />
|-<br />
|Nov. 1<br />
|Wil<br />
|Powers, [https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.82.1607; Dynamics of filaments and membranes in a viscous fluid]; Guven et al. [http://iopscience.iop.org/article/10.1088/1751-8113/47/35/355201/pdf Environmental bias and elastic curves on surfaces]<br />
|-<br />
|Nov. 8<br />
|Tom<br />
|[https://arxiv.org/abs/1809.01190 Mixing by jellyfish]<br />
|-<br />
|Nov. 15<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Nov. 22<br />
|<br />
|''Thanksgiving Break''<br />
|-<br />
|Nov. 29<br />
|Chris<br />
|Sun et al., [https://www.sciencedirect.com/science/article/pii/S0167278911001588 A mathematical model for the synchronization of cows]<br />
|-<br />
|Dec. 6<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|'''Dec. 12, B239'''<br />
|Jean-Luc<br />
|Cooking food by flipping<br />
|-<br />
|Dec. 13<br />
|<br />
|''Faculty Meeting''<br />
|}<br />
<br />
== Archived semesters ==<br />
*[[Applied/Physical_Applied_Math/Spring2018|Spring 2018]]<br />
*[[Applied/Physical_Applied_Math/Fall2017|Fall 2017]]<br />
*[[Applied/Physical_Applied_Math/Spring2017|Spring 2017]]<br />
*[[Applied/Physical_Applied_Math/Fall2016|Fall 2016]]<br />
*[[Applied/Physical_Applied_Math/Spring2016|Spring 2016]]<br />
*[[Applied/Physical_Applied_Math/Fall2015|Fall 2015]]<br />
*[[Applied/Physical_Applied_Math/Spring2015|Spring 2015]]<br />
*[[Applied/Physical_Applied_Math/Summer2014|Summer 2014]]<br />
*[[Applied/Physical_Applied_Math/Spring2014|Spring 2014]]<br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/Physical_Applied_Math&diff=17432Applied/Physical Applied Math2019-05-08T14:50:45Z<p>Spagnolie: /* Spring 2019 */</p>
<hr />
<div>= Physical Applied Math Group Meeting =<br />
<br />
*'''When:''' Thursdays at 4:00pm (unless there is a departmental meeting)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~spagnolie Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the Physical Applied Math mailing list:''' See the [https://admin.lists.wisc.edu/index.php?p=11&l=phys_appl_math mailing list website].<br />
<br />
<br><br />
<br />
== Spring 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Jan. 24<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Jan. 31<br />
|Jean-Luc<br />
|Organizational meeting; J-LT speaks on Vortices in a channel<br />
|-<br />
|Feb. 7<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Feb. 14<br />
|Yu<br />
|Suppression of phase separation by mixing<br />
|-<br />
|Feb. 21<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Feb. 28<br />
|Bryan<br />
|Riffles shuffles and mixing<br />
|-<br />
|Mar. 7<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Mar. 14<br />
|Hongfei<br />
|[https://www.springer.com/us/book/9781441916044 Diffusion across potential barriers]<br />
|-<br />
|Mar. 21<br />
|<br />
|''Spring Break''<br />
|-<br />
|Mar. 28<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Apr. 4<br />
|Ruojun<br />
|Internal diffusion-limited aggregation and rotor-router walks with drift<br />
|-<br />
|Apr. 11<br />
|Jiajia<br />
|[https://doi.org/10.1063/1.1675038 Freed, Wiener Integrals and Models of Stiff Polymer Chains]<br />
|-<br />
|Apr. 18<br />
|Wangping<br />
|Entanglement of frictionless strings<br />
|-<br />
|Apr. 25<br />
|John<br />
|pseudo-Anosov homeomorphisms with large entropy<br />
|-<br />
|May 2<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|May 9<br />
|Saverio<br />
|Internal capillary origami (see [https://journals.aps.org/pra/abstract/10.1103/PhysRevA.44.1182 Seifert et al, Shape transformations of vesicles] and [https://www.annualreviews.org/doi/full/10.1146/annurev-fluid-122316-050130?casa_token=lYj2Hmpn0fEAAAAA:269tjv-n7Odyzgam7PniTi5WmNPjP0qVrO7qxV0a8Ox_Tl4fNsawlxTves-ev7vI_h9Sx_0jKfwK Bico et al., Elastocapillarity (Review article)]<br />
|-<br />
|}<br />
<br />
== Fall 2018 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
|-<br />
|Jan. 31<br />
|Jean-Luc<br />
|Organizational meeting; J-LT speaks on Aldous and Diaconis, [https://www.ams.org/journals/bull/1999-36-04/S0273-0979-99-00796-X/ Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem]<br />
|-<br />
|Sep. 13<br />
|Son<br />
|[https://arxiv.org/abs/1808.06129 Rate of convergence for periodic homogenization of convex Hamilton-Jacobi equations in one dimension]<br />
|-<br />
|Sep. 20<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Sep. 27<br />
|[https://www.math.cmu.edu/~gautam/sj/index.html Gautam Iyer] (CMU)<br />
|[https://arxiv.org/abs/1806.03699 Dissipation enhancement by mixing]<br />
|-<br />
|Oct. 4<br />
|Gage<br />
|[https://www.dropbox.com/s/tjc4v03cwgzeppm/Group_talk_ab___notes.pdf Escape rates of random walks on free groups]<br />
|-<br />
|Oct. 11<br />
|<i>cancelled</i><br />
|<br />
|-<br />
|Oct. 18<br />
|Yu Feng<br />
|Relaxation enhancement for Advective Cahn-Hilliard (practice for specialty)<br />
|-<br />
|Oct. 25<br />
|Yu's specialty <b>2-3pm, B139</b><br />
|Relaxation enhancement for Advective Cahn-Hilliard<br />
|-<br />
|Nov. 1<br />
|Wil<br />
|Powers, [https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.82.1607; Dynamics of filaments and membranes in a viscous fluid]; Guven et al. [http://iopscience.iop.org/article/10.1088/1751-8113/47/35/355201/pdf Environmental bias and elastic curves on surfaces]<br />
|-<br />
|Nov. 8<br />
|Tom<br />
|[https://arxiv.org/abs/1809.01190 Mixing by jellyfish]<br />
|-<br />
|Nov. 15<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|Nov. 22<br />
|<br />
|''Thanksgiving Break''<br />
|-<br />
|Nov. 29<br />
|Chris<br />
|Sun et al., [https://www.sciencedirect.com/science/article/pii/S0167278911001588 A mathematical model for the synchronization of cows]<br />
|-<br />
|Dec. 6<br />
|<br />
|''Faculty Meeting''<br />
|-<br />
|'''Dec. 12, B239'''<br />
|Jean-Luc<br />
|Cooking food by flipping<br />
|-<br />
|Dec. 13<br />
|<br />
|''Faculty Meeting''<br />
|}<br />
<br />
== Archived semesters ==<br />
*[[Applied/Physical_Applied_Math/Spring2018|Spring 2018]]<br />
*[[Applied/Physical_Applied_Math/Fall2017|Fall 2017]]<br />
*[[Applied/Physical_Applied_Math/Spring2017|Spring 2017]]<br />
*[[Applied/Physical_Applied_Math/Fall2016|Fall 2016]]<br />
*[[Applied/Physical_Applied_Math/Spring2016|Spring 2016]]<br />
*[[Applied/Physical_Applied_Math/Fall2015|Fall 2015]]<br />
*[[Applied/Physical_Applied_Math/Spring2015|Spring 2015]]<br />
*[[Applied/Physical_Applied_Math/Summer2014|Summer 2014]]<br />
*[[Applied/Physical_Applied_Math/Spring2014|Spring 2014]]<br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17180Applied2019-03-18T21:15:56Z<p>Spagnolie: /* Tenured and tenure-track faculty */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. --><br />
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br />
<br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied&diff=17179Applied2019-03-18T21:14:24Z<p>Spagnolie: /* News and opportunities */</p>
<hr />
<div>__NOTOC__<br />
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]<br />
<br />
__NOTOC__<br />
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]<br />
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|scattered rain clouds versus an organized storm (a squall line)]] <!-- Added by stechmann 2013-02-03 --><br />
<br />
= '''Applied Mathematics at UW-Madison''' =<br />
<br />
Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.<br />
<br />
<br><br />
<br />
== News and opportunities ==<br />
<br />
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 --><br />
<br />
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 --><br />
<br />
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17 --><br />
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! <!-- Added by jeanluc 2014-02-19 --><br />
<br />
* '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. <!-- Added by jeanluc 2014-02-14 --><br />
<br />
* '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. <!-- Added by Anderson 2014-02-10 --><br />
<br />
* '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. <!-- Added by jeanluc 2014-02-01 --><br />
<br />
* '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow]. Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. <!-- Added by jeanluc 2013-06-11 --><br />
<br />
<br><br />
<br />
== Workshops ==<br />
<br />
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015<br />
<br />
== Seminars ==<br />
<br />
''organized by Applied Math''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)<br />
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)<br />
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) --><br />
<br />
<br />
''other seminar series of interest''<br />
<br />
* [http://www.math.wisc.edu/wiki/index.php/Colloquia Mathematics Colloquium] (Fridays at 4:00pm, VV B239)<br />
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar Probability Seminar] (Thursdays at 2:25pm, VV 901)<br />
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)<br />
* [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID)<br />
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)<br />
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)<br />
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)<br />
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)<br />
<br><br />
<br />
== Tenured and tenure-track faculty ==<br />
<br />
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.<br />
<br />
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. <br />
<br />
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.<br />
<br />
[http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.<br />
<br />
[http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology.<br />
<br />
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.<br />
<br />
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. <br />
<br />
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.<br />
<br />
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.<br />
<br />
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.<br />
<br />
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.--><br />
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials--><br />
<br><br />
<br />
== Postdoctoral fellows and researchers ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/30-majid-arabgol Majid Arabgol:]<br />
HPC & Visualization Research Scholar<br />
<br />
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)<br />
<br />
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)<br />
<br />
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~hernande Gerardo Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics<br />
<br />
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids<br />
<br />
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science<br />
<br />
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]<br />
(University of Waterloo, 2011) dynamical systems<br />
<br />
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science<br />
<br />
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. --><br />
<br />
<br><br />
<br />
== Current Graduate Students ==<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.<br />
<br />
Liu Liu: Student of Shi Jin<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.<br />
<br />
[http://www.math.wisc.edu/~tamorrell/ Thomas Morrell:] Student of Saverio Spagnolie and Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.<br />
<br />
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.<br />
<br />
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.<br />
<br />
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.<br />
<br />
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.<br />
<br />
Qian You: Student of Sigurd Angenent.<br />
<br />
<!-- Past students: --><br />
<!-- Yun Sun: Student of David Anderson.--><br />
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.--><br />
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. --><br />
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. --><br />
<!--Zhan Wang: Student of Paul Milewski.--><br />
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.--><br />
<!--Peng Qi: Student of Shi Jin. --><br />
<!--Li (Aug) Wang: Student of Shi Jin. --><br />
<!-- Lei Li: Student of Saverio Spagnolie. --><br />
<!--Li Wang: Student of Leslie Smith. --><br />
<!--David Seal: Student of James Rossmanith. --><br />
<!--E. Alec Johnson: Student of James Rossmanith. --><br />
<!--Hesam Dashti: MSc Student of Amir Assadi.--><br />
<!--Qiang Deng: Student of Leslie Smith.--><br />
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.--><br />
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.--><br />
<!--Yongtao Cheng: Student of James Rossmanith.--><br />
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. --><br />
<br />
<br><br />
<br />
== Graduate course offerings ==<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)<br />
* Math 715: Methods of Computational Math II (Qin Li)<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)<br />
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)<br />
* Math 714: Methods of Computational Math I (Sam Stechmann)<br />
* Math 801: Topics in Applied Mathematics (Shi Jin)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===<br />
<br />
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) --><br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===<br />
<br />
* Math 605: Stochastic Methods for Biology (David Anderson)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===<br />
<br />
<br />
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)<br />
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)<br />
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)<br />
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) --><br />
<br />
<br />
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===<br />
<br />
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)<br />
* Math 632: Introduction to Stochastic Processes (David Anderson)<br />
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)<br />
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)<br />
* Math 714: Methods of Computational Math I (Shi Jin)<br />
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)<br />
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)<br />
<br />
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===<br />
<br />
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)<br />
* Math 715: Methods of Computational Math II (Saverio Spagnolie)<br />
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) --><br />
<br />
<!-- === Spring 2012 ===<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) --><br />
<br />
<br />
<!--<br />
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===<br />
<br />
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)<br />
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)<br />
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)<br />
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)<br />
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)<br />
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)<br />
--><br />
<br />
<!--<br />
Spring 2011:<br />
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)<br />
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)<br />
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)<br />
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)<br />
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)<br />
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]<br />
<br />
[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps])</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=17102Applied/ACMS2019-03-04T16:15:14Z<p>Spagnolie: /* Spring 2019 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li], [http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Spring 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Jan 25<br />
|[http://pages.cs.wisc.edu/~jerryzhu/ Jerry Zhu] (UW-Madison, CS)<br />
|''[[Applied/ACMS/absS19#Jerry Zhu (UW-Madison, CS)|Machine Teaching: Optimal Control of Machine Learning]]''<br />
| host<br />
|-<br />
| Feb 1<br />
|[https://www.math.wisc.edu/~deshpande/ Abhishek Deshpande] (UW-Madison)<br />
|''[[Applied/ACMS/absS19#Abhishek Deshpande (UW-Madison)|Switches in chemical and biological networks]]''<br />
| host<br />
|-<br />
| Feb 8<br />
|[https://www.math.wisc.edu/~cntzou/ Chung-Nan Tzou] (UW-Madison)<br />
|''[[Applied/ACMS/absS19#Chung-Nan Tzou (UW-Madison)|Fluid Models with Sharp Interfaces - Clouds and Plumes]]''<br />
| host<br />
|-<br />
| Feb 15<br />
|[https://sites.google.com/site/amylouisecochran/ Amy Cochran] (UW-Madison, Math and Medical Informatics)<br />
|''[[Applied/ACMS/absS19#Amy Cochran (UW-Madison, Math and Medical Informatics)|A model of online latent state learning]]''<br />
| host<br />
|-<br />
| Feb 22<br />
|[https://www.ma.utexas.edu/users/ren/index.html Kui Ren] (UT-Austin and Columbia)<br />
|''[[Applied/ACMS/absS19#Kui Ren (UT-Austin and Columbia)|Uncertainty Characterization in Model-Based Inverse and Imaging Problems]]''<br />
| host<br />
|-<br />
| Mar 1<br />
|[https://www.medphysics.wisc.edu/directory/guanghong.php Guanghong Chen] (UW-Madison, Medical Physics)<br />
|''[[Applied/ACMS/absS19#Guanghong Chen (UW-Madison, Medical Physics)|canceled]]''<br />
| Li<br />
|-<br />
| Mar 8<br />
|[http://www.nicolasgarciat.com/ Nicolas Garcia Trillos] (UW-Madison, Statistics)<br />
|''[[Applied/ACMS/absS19#Nicolas Garcia Trillos (UW-Madison, Statistics)|Large sample asymptotics of spectra of Laplacians and semilinear elliptic PDEs on random geometric graphs]]''<br />
| host<br />
|-<br />
| Mar 15<br />
|[http://www.sfu.ca/~weirans/ Weiran Sun] (Simon Fraser)<br />
|''[[Applied/ACMS/absS19#Weiran Sun (Simon Fraser)|Aggregation equations over bounded domains]]''<br />
| host<br />
|-<br />
| Mar 22<br />
|[spring recess] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Mar 29<br />
|[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault] (UW-Madison, Math)<br />
|''[[Applied/ACMS/absS19#Jean-Luc Thiffeault (UW-Madison, Math)|The mathematics of burger flipping]]''<br />
| self-hosted<br />
|-<br />
| Apr 5<br />
|[website TBA] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Apr 12<br />
|[https://sites.tufts.edu/hening/ Alexandru Hening] (Tufts University)<br />
|''[[Applied/ACMS/absS19#Alexandru Hening (Tufts University)|title TBA]]''<br />
| Craciun<br />
|-<br />
| Apr 19<br />
|[https://scholar.google.com/citations?user=85z4Cl4AAAAJ&hl=en Mustafa Mohamad] (NYU/Courant)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| Chen<br />
|-<br />
| Apr 26<br />
|[http://ins.sjtu.edu.cn/people/leili/ Lei Li] (Shanghai Jiao Tong University)<br />
|''[[Applied/ACMS/absS19#Lei Li (Shanghai Jiao Tong University)|The Random Batch Method and its application to sampling]]''<br />
| Spagnolie<br />
|-<br />
| May 3<br />
|[https://www.math.ucla.edu/~jiajun/ Jiajun Tong] (UCLA)<br />
|''[[Applied/ACMS/absS19#Jiajun Tong (UCLA)|title]]''<br />
| Chen<br />
|}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS/absS19&diff=17101Applied/ACMS/absS192019-03-04T16:14:57Z<p>Spagnolie: /* ACMS Abstracts: Spring 2019 */</p>
<hr />
<div>= ACMS Abstracts: Spring 2019 =<br />
<br />
=== Jerry Zhu (University of Wisconsin-Madison, CS) ===<br />
''Machine Teaching: Optimal Control of Machine Learning''<br />
<br />
As machine learning is increasingly adopted in science and engineering, it becomes important to take a higher level view where the machine learner is only one of the agents in a multi-agent system. Other agents may have an incentive to control the learner. As examples, in adversarial machine learning an attacker can poison the training data to manipulate the model the learner learns; in education a teacher can optimize the curriculum to enhance student (modeled as a computational learning algorithm) performance. Machine teaching is optimal control theory applied to machine learning: the plant is the learner, the state is the learned model, and the control is the training data. In this talk I survey the mathematical foundation of machine teaching and the new research frontiers opened up by this confluence of machine learning and control theory.<br />
<br />
=== Abhishek Deshpande (UW-Madison, math) ===<br />
''Switches in chemical and biological networks''<br />
<br />
Switches are ubiquitous in both chemical and biological circuits. We explore the behaviour of autocatalytic switches in the context of the persistence conjecture. We show that networks without autocatalytic switches are persistent. The notion of a “critical siphon” forms the connecting link between autocatalysis and persistence. The talk will expand upon this connection.<br />
<br />
<br />
Swtiches are also relevant from a biological perspective. We show that catalytic switches help in reducing retroactivity - the back effect on the upstream system when connected to the downstream system. In addition, for certain catalytic networks like the push-pull motif, high rates of energy consumption are not required to attenuate retroactivity. One can accomplish this by reducing the coupling to the push-pull motif. However, this reduction in coupling is not robust to cross-talk caused by leak reactions.<br />
<br />
<br />
References:<br />
1) https://arxiv.org/abs/1309.3957<br />
2) https://arxiv.org/abs/1708.01792<br />
<br />
=== Chung-Nan Tzou (UW-Madison, Math)===<br />
''Fluid Models with Sharp Interfaces - Clouds and Plumes''<br />
<br />
In this talk, I will discuss two models describing the interaction of fluids across sharp interfaces. The first model is a discontinuous Poisson equation where the interfacial discontinuity arises from phase changes such as the interior and exterior of a cloud. A simple second-order numerical scheme aiming at solving this type of equations is proposed and tested. The second model is a simplified system of ODEs describing the mixing of jets and plumes with the ambient fluid. With the ambient density profile being sharply stratified, we established a criterion for a plume to be trapped underwater or rise to the top surface and also showed that this profile is the optimal mixer. This theory has been applied to the Gulf of Mexico oil spill incident and also compared with the data we collected through hands-on experiments in the fluids lab.<br />
<br />
=== Amy Cochran (UW-Madison, Math and Medical Informatics) ===<br />
''A model of online latent state learning''<br />
<br />
Researchers are increasingly interested in how humans perform a structured form of learning known as latent-state inferences. Latent state inferences refer to someone's ability to weigh competing hypotheses about one’s environment. Critically, this type of learning can help explain behavior and neural activity important to cognitive neuroscience and psychiatry. In this talk, I will first present a model of latent state learning that uses online, or recursive, updates. I will also discuss open questions related to this topic in hopes of generating discussion. Ultimately, I would like to engage students interested in the emerging area of computational psychiatry, as I will be joining the math department as an assistant professor in the Fall.<br />
<br />
=== Kui Ren (Columbia Applied math and UT-Austin Mathematics) ===<br />
''Uncertainty Characterization in Model-Based Inverse and Imaging Problems''<br />
<br />
In model-based inverse and imaging problems, it is often the case that only a portion of the relevant physical quantities in the model can be reconstructed/imaged. The rest of the model parameters are assumed to be known. In practice, these parameters are often only known partially (up to a certain accuracy). It is therefore important to characterize the dependence of the inversion/imaging results on the accuracy of these parameters. This is an uncertainty quantification problem that is challenging due to the fact that both the map from the uncertainty parameters (the ones we assumed partially known) to the measured data and the map from the measured data to the quantities to be imaged are difficult to analyze. In this talk, we review some recent computaitonal and mathematical results on such uncertainty characterization problems in nonlinear inverse problems for PDEs.<br />
<br />
=== Nicolas Garcia Trillos (UW-Madison, statistics) ===<br />
''Large sample asymptotics of spectra of Laplacians and semilinear elliptic PDEs on random geometric graphs''<br />
<br />
Given a data set $\mathcal{X}=\{x_1, \dots, x_n\}$ and a weighted graph structure $\Gamma= (\mathcal{X},W)$ on $\mathcal{X}$, graph based methods for learning use analytical notions like graph Laplacians, graph cuts, and Sobolev semi-norms to formulate optimization problems whose solutions serve as sensible approaches to machine learning tasks. When the data set consists of samples from a distribution supported on a manifold (or at least approximately so), and the weights depend inversely on the distance between the points, a natural question to study concerns the behavior of those optimization problems as the number of samples goes to infinity. In this talk I will focus on optimization problems closely connected to clustering and supervised regression that involve the graph Laplacian. For clustering, the spectrum of the graph Laplacian is the fundamental object used in the popular spectral clustering algorithm. For regression, the solution to a semilinear elliptic PDE on the graph provides the minimizer of an energy balancing regularization and data fidelity, a sensible object to use in non-parametric regression. <br />
Using tools from optimal transport, calculus of variations, and analysis of PDEs, I will discuss a series of results establishing the asymptotic consistency (with rates of convergence) of many of these analytical objects, as well as provide some perspectives on future research directions.<br />
<br />
=== Weiran Sun (Simon Fraser University) ===<br />
''Aggregation equations over bounded domains''<br />
<br />
Numerical computations have shown that due to the boundary effect, solutions of aggregation equations can evolve into non-energy minimizing states. Meanwhile, adding a small noise seems to bypass such non- energy minimizers. This motivates our study of aggregation equations over bounded domains. In this talk we will use basic probabilistic methods to show well-posedness and mean-field limits of aggregation equations with singular potentials (such as the Newtonian potential). We will also show the zero-diffusion limit of aggregations equations over bounded domains and obtain a convergence rate that is consistent with what has been observed in numerical simulations. This is joint work with Razvan Fetecau, Hui Huang, and Daniel Messenger.<br />
<br />
=== Jean-Luc Thiffeault (UW-Madison, Math) ===<br />
<br />
''The mathematics of burger flipping''<br />
<br />
Ever since the dawn of time people have (literally) asked the question<br />
&mdash; what is the most effective way to grill food? Timing is<br />
everything, since only one surface is exposed to heat at a given time.<br />
Should we flip only once, or many times? I will show a simple model<br />
of cooking by flipping, and some interesting mathematics will emerge.<br />
The rate of cooking depends on the spectrum of a linear operator, and<br />
on the fixed point of a map. If the system is symmetric, the rate of<br />
cooking becomes independent of the sequence of flips, as long as the<br />
last point to be cooked is the midpoint. This toy problem has some<br />
characteristics reminiscent of more realistic scenarios, such as<br />
thermal convection and heat exchangers.<br />
<br />
=== Lei Li (Shanghai Jiao Tong University) ===<br />
<br />
''The Random Batch Method and its application to sampling''<br />
<br />
First order interacting particle systems are ubiquitous. For example, they can be viewed as the over-damped Langevin equations. We first introduce a random algorithm, called the Random Batch Method (RBM), for simulating first order systems. The algorithms are motivated by the mini-batch idea in machine learning and statistics. Under some special conditions, we show the convergence of RBMs for the first marginal distribution under the Wasserstein distance. Compared with traditional tree code and fast multipole expansion algorithms, RBM works for kernels that do not necessarily decay. We then apply the RBM to Stein Variational Gradient Descent, a recent algorithm in statistics and machine learning, to obtain an efficient sampling method. This talk is based on joint work with Shi Jin (Shanghai Jiao Tong University), Jian-Guo Liu (Duke University), Jianfeng Lu (Duke University) and Zibu Liu (Duke University).</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=17100Applied/ACMS2019-03-04T16:12:59Z<p>Spagnolie: /* Spring 2019 */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li], [http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Spring 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Jan 25<br />
|[http://pages.cs.wisc.edu/~jerryzhu/ Jerry Zhu] (UW-Madison, CS)<br />
|''[[Applied/ACMS/absS19#Jerry Zhu (UW-Madison, CS)|Machine Teaching: Optimal Control of Machine Learning]]''<br />
| host<br />
|-<br />
| Feb 1<br />
|[https://www.math.wisc.edu/~deshpande/ Abhishek Deshpande] (UW-Madison)<br />
|''[[Applied/ACMS/absS19#Abhishek Deshpande (UW-Madison)|Switches in chemical and biological networks]]''<br />
| host<br />
|-<br />
| Feb 8<br />
|[https://www.math.wisc.edu/~cntzou/ Chung-Nan Tzou] (UW-Madison)<br />
|''[[Applied/ACMS/absS19#Chung-Nan Tzou (UW-Madison)|Fluid Models with Sharp Interfaces - Clouds and Plumes]]''<br />
| host<br />
|-<br />
| Feb 15<br />
|[https://sites.google.com/site/amylouisecochran/ Amy Cochran] (UW-Madison, Math and Medical Informatics)<br />
|''[[Applied/ACMS/absS19#Amy Cochran (UW-Madison, Math and Medical Informatics)|A model of online latent state learning]]''<br />
| host<br />
|-<br />
| Feb 22<br />
|[https://www.ma.utexas.edu/users/ren/index.html Kui Ren] (UT-Austin and Columbia)<br />
|''[[Applied/ACMS/absS19#Kui Ren (UT-Austin and Columbia)|Uncertainty Characterization in Model-Based Inverse and Imaging Problems]]''<br />
| host<br />
|-<br />
| Mar 1<br />
|[https://www.medphysics.wisc.edu/directory/guanghong.php Guanghong Chen] (UW-Madison, Medical Physics)<br />
|''[[Applied/ACMS/absS19#Guanghong Chen (UW-Madison, Medical Physics)|canceled]]''<br />
| Li<br />
|-<br />
| Mar 8<br />
|[http://www.nicolasgarciat.com/ Nicolas Garcia Trillos] (UW-Madison, Statistics)<br />
|''[[Applied/ACMS/absS19#Nicolas Garcia Trillos (UW-Madison, Statistics)|Large sample asymptotics of spectra of Laplacians and semilinear elliptic PDEs on random geometric graphs]]''<br />
| host<br />
|-<br />
| Mar 15<br />
|[http://www.sfu.ca/~weirans/ Weiran Sun] (Simon Fraser)<br />
|''[[Applied/ACMS/absS19#Weiran Sun (Simon Fraser)|Aggregation equations over bounded domains]]''<br />
| host<br />
|-<br />
| Mar 22<br />
|[spring recess] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Mar 29<br />
|[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault] (UW-Madison, Math)<br />
|''[[Applied/ACMS/absS19#Jean-Luc Thiffeault (UW-Madison, Math)|The mathematics of burger flipping]]''<br />
| self-hosted<br />
|-<br />
| Apr 5<br />
|[website TBA] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Apr 12<br />
|[https://sites.tufts.edu/hening/ Alexandru Hening] (Tufts University)<br />
|''[[Applied/ACMS/absS19#Alexandru Hening (Tufts University)|title TBA]]''<br />
| Craciun<br />
|-<br />
| Apr 19<br />
|[https://scholar.google.com/citations?user=85z4Cl4AAAAJ&hl=en Mustafa Mohamad] (NYU/Courant)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| Chen<br />
|-<br />
| Apr 26<br />
|[http://ins.sjtu.edu.cn/people/leili/ Lei Li] (Shanghai Jiao Tong University)<br />
|''[[Applied/ACMS/absS19#Lei Li (Shanghai Jiao Tong University)|Random Batch Method and its application to sampling]]''<br />
| Spagnolie<br />
|-<br />
| May 3<br />
|[https://www.math.ucla.edu/~jiajun/ Jiajun Tong] (UCLA)<br />
|''[[Applied/ACMS/absS19#Jiajun Tong (UCLA)|title]]''<br />
| Chen<br />
|}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS&diff=17093Applied/ACMS2019-03-03T17:34:13Z<p>Spagnolie: /* Applied and Computational Mathematics Seminar */</p>
<hr />
<div>__NOTOC__<br />
<br />
= Applied and Computational Mathematics Seminar =<br />
<br />
*'''When:''' Fridays at 2:25pm (except as otherwise indicated)<br />
*'''Where:''' 901 Van Vleck Hall<br />
*'''Organizers:''' [http://www.math.wisc.edu/~qinli/ Qin Li], [http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie] and [http://www.math.wisc.edu/~jeanluc Jean-Luc Thiffeault]<br />
*'''To join the ACMS mailing list:''' See [https://admin.lists.wisc.edu/index.php?p=11&l=acms mailing list] website.<br />
<br />
<br><br />
<br />
<br />
== Spring 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Jan 25<br />
|[http://pages.cs.wisc.edu/~jerryzhu/ Jerry Zhu] (UW-Madison, CS)<br />
|''[[Applied/ACMS/absS19#Jerry Zhu (UW-Madison, CS)|Machine Teaching: Optimal Control of Machine Learning]]''<br />
| host<br />
|-<br />
| Feb 1<br />
|[https://www.math.wisc.edu/~deshpande/ Abhishek Deshpande] (UW-Madison)<br />
|''[[Applied/ACMS/absS19#Abhishek Deshpande (UW-Madison)|Switches in chemical and biological networks]]''<br />
| host<br />
|-<br />
| Feb 8<br />
|[https://www.math.wisc.edu/~cntzou/ Chung-Nan Tzou] (UW-Madison)<br />
|''[[Applied/ACMS/absS19#Chung-Nan Tzou (UW-Madison)|Fluid Models with Sharp Interfaces - Clouds and Plumes]]''<br />
| host<br />
|-<br />
| Feb 15<br />
|[https://sites.google.com/site/amylouisecochran/ Amy Cochran] (UW-Madison, Math and Medical Informatics)<br />
|''[[Applied/ACMS/absS19#Amy Cochran (UW-Madison, Math and Medical Informatics)|A model of online latent state learning]]''<br />
| host<br />
|-<br />
| Feb 22<br />
|[https://www.ma.utexas.edu/users/ren/index.html Kui Ren] (UT-Austin and Columbia)<br />
|''[[Applied/ACMS/absS19#Kui Ren (UT-Austin and Columbia)|Uncertainty Characterization in Model-Based Inverse and Imaging Problems]]''<br />
| host<br />
|-<br />
| Mar 1<br />
|[https://www.medphysics.wisc.edu/directory/guanghong.php Guanghong Chen] (UW-Madison, Medical Physics)<br />
|''[[Applied/ACMS/absS19#Guanghong Chen (UW-Madison, Medical Physics)|canceled]]''<br />
| Li<br />
|-<br />
| Mar 8<br />
|[http://www.nicolasgarciat.com/ Nicolas Garcia Trillos] (UW-Madison, Statistics)<br />
|''[[Applied/ACMS/absS19#Nicolas Garcia Trillos (UW-Madison, Statistics)|Large sample asymptotics of spectra of Laplacians and semilinear elliptic PDEs on random geometric graphs]]''<br />
| host<br />
|-<br />
| Mar 15<br />
|[http://www.sfu.ca/~weirans/ Weiran Sun] (Simon Fraser)<br />
|''[[Applied/ACMS/absS19#Weiran Sun (Simon Fraser)|Aggregation equations over bounded domains]]''<br />
| host<br />
|-<br />
| Mar 22<br />
|[spring recess] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Mar 29<br />
|[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault] (UW-Madison, Math)<br />
|''[[Applied/ACMS/absS19#Jean-Luc Thiffeault (UW-Madison, Math)|The mathematics of burger flipping]]''<br />
| self-hosted<br />
|-<br />
| Apr 5<br />
|[website TBA] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Apr 12<br />
|[https://sites.tufts.edu/hening/ Alexandru Hening] (Tufts University)<br />
|''[[Applied/ACMS/absS19#Alexandru Hening (Tufts University)|title TBA]]''<br />
| Craciun<br />
|-<br />
| Apr 19<br />
|[https://scholar.google.com/citations?user=85z4Cl4AAAAJ&hl=en Mustafa Mohamad] (NYU/Courant)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| Chen<br />
|-<br />
| Apr 26<br />
|[http://ins.sjtu.edu.cn/people/leili/ Lei Li] (Shanghai Jiao Tong University)<br />
|''[[Applied/ACMS/absS19#Lei Li (Shanghai Jiao Tong University)|TBA]]''<br />
| Spagnolie<br />
|-<br />
| May 3<br />
|[https://www.math.ucla.edu/~jiajun/ Jiajun Tong] (UCLA)<br />
|''[[Applied/ACMS/absS19#Jiajun Tong (UCLA)|title]]''<br />
| Chen<br />
|}<br />
<br />
== Future semesters ==<br />
<br />
*[[Applied/ACMS/Spring2019|Spring 2019]]<br />
<br />
== Archived semesters ==<br />
*[[Applied/ACMS/Fall2018|Fall 2018]]<br />
*[[Applied/ACMS/Spring2018|Spring 2018]]<br />
*[[Applied/ACMS/Fall2017|Fall 2017]]<br />
*[[Applied/ACMS/Spring2017|Spring 2017]]<br />
*[[Applied/ACMS/Fall2016|Fall 2016]]<br />
*[[Applied/ACMS/Spring2016|Spring 2016]]<br />
*[[Applied/ACMS/Fall2015|Fall 2015]]<br />
*[[Applied/ACMS/Spring2015|Spring 2015]]<br />
*[[Applied/ACMS/Fall2014|Fall 2014]]<br />
*[[Applied/ACMS/Spring2014|Spring 2014]]<br />
*[[Applied/ACMS/Fall2013|Fall 2013]]<br />
*[[Applied/ACMS/Spring2013|Spring 2013]]<br />
*[[Applied/ACMS/Fall2012|Fall 2012]]<br />
*[[Applied/ACMS/Spring2012|Spring 2012]]<br />
*[[Applied/ACMS/Fall2011|Fall 2011]]<br />
*[[Applied/ACMS/Spring2011|Spring 2011]]<br />
*[[Applied/ACMS/Fall2010|Fall 2010]]<br />
<!--<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring10.html Spring 2010]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall09.html Fall 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring09.html Spring 2009]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall08.html Fall 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring08.html Spring 2008]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall07.html Fall 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Spring07.html Spring 2007]<br />
*[http://www.math.wisc.edu/~jeanluc/ACMS/archive/Fall06.html Fall 2006]<br />
--><br />
<br />
<br><br />
<br />
----<br />
Return to the [[Applied|Applied Mathematics Group Page]]</div>Spagnoliehttps://www.math.wisc.edu/wiki/index.php?title=Applied/ACMS/Spring2019&diff=16534Applied/ACMS/Spring20192018-12-06T03:00:05Z<p>Spagnolie: </p>
<hr />
<div>== Spring 2019 ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s)<br />
|-<br />
| Jan 25<br />
|[http://pages.cs.wisc.edu/~jerryzhu/ Jerry Zhu] (UW-Madison, CS)<br />
|''[[Applied/ACMS/absS19#Jerry Zhu (UW-Madison, CS)|title]]''<br />
| host<br />
|-<br />
| Feb 1<br />
|[https://www.math.wisc.edu/~cntzou/ Chung-Nan Tzou] (UW-Madison)<br />
|''[[Applied/ACMS/absS19#Chung-Nan Tzou (UW-Madison)|title]]''<br />
| host<br />
|-<br />
| Feb 8<br />
|[website TBA] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Feb 15<br />
|[website TBA] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Feb 22<br />
|[https://www.ma.utexas.edu/users/ren/index.html Kui Ren] (UT-Austin and Columbia)<br />
|''[[Applied/ACMS/absS19#Kui Ren (UT-Austin and Columbia)|title]]''<br />
| host<br />
|-<br />
| Mar 1<br />
|[https://www.medphysics.wisc.edu/directory/guanghong.php Guanghong Chen] (UW-Madison, Medical Physics)<br />
|''[[Applied/ACMS/absS19#Guanghong Chen (UW-Madison, Medical Physics)|title]]''<br />
| Li<br />
|-<br />
| Mar 8<br />
|[http://www.nicolasgarciat.com/ Nicolas Garcia Trillos] (UW-Madison, Statistics)<br />
|''[[Applied/ACMS/absS19#Nicolas Garcia Trillos (UW-Madison, Statistics)|title]]''<br />
| host<br />
|-<br />
| Mar 15<br />
|[website TBA] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Mar 22<br />
|[spring recess] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Mar 29<br />
|[https://math.berkeley.edu/~linlin/ Lin Lin] (UC-Berkeley)<br />
|''[[Applied/ACMS/absS19#Lin Lin (UC-Berkeley)|title]]''<br />
| host<br />
|-<br />
| Apr 5<br />
|[https://scholar.google.com/citations?user=85z4Cl4AAAAJ&hl=en Mustafa Mohamad] (NYU/Courant)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| Chen<br />
|-<br />
| Apr 12<br />
|[website TBA] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Apr 19<br />
|[website TBA] (Institute)<br />
|''[[Applied/ACMS/absS19#Name (Institute)|title]]''<br />
| host<br />
|-<br />
| Apr 26<br />
|[http://ins.sjtu.edu.cn/people/leili/ Lei Li] (Shanghai Jiao Tong University)<br />
|''[[Applied/ACMS/absS19#Lei Li (Shanghai Jiao Tong University)|TBA]]''<br />
| Spagnolie<br />
|-<br />
| May 3<br />
|[https://www.math.ucla.edu/~jiajun/ Jiajun Tong] (UCLA)<br />
|''[[Applied/ACMS/absS19#Jiajun Tong (UCLA)|title]]''<br />
| Chen<br />
|-</div>Spagnolie