People

Faculty



Georghe Craciun Georghe Craciun
Associate Professor
Ohio State University, 2002
craciun at math dot wisc dot edu
Research Interests: Mathematical Biology
Research Description:

I am interested in the use of dynamical systems, numerical analysis, and scientific computing for mathematical modeling in biology and medicine. In particular, I am interested in dynamical properties of biochemical reaction networks (such as multistability, oscillations, persistence and global stability), network identification, and mass spectrometry-based proteomics.



Sergeui Denissov Sergeui Denissov
Associate Professor
Moscow State University, 1999
denissov at math dot wisc dot edu
Research Interests: Analysis, Mathematical Physics
Research Description:

My area of research is Analysis. I work mainly in two classical areas: Approximation theory and Scattering theory. Recently, I have been also working on some projects related to two-dimensional fluid motion. The Approximation theory is a classical area in Analysis with links to almost any other branch of Mathematics. I am mostly interested in the behavior of polynomials orthogonal on the unit...



Mikhail Feldman
Professor
UC Berkeley, 1994
feldman@math.wisc.edu
Research Interests: Nonlinear PDEs
Research Description:

I am interested in nonlinear PDE and free boundary problems. My recent research include study of shock reflection in gas dynamics, which involves study of free boundary problems for nonlinear degenerate-elliptic equations. I also work on semigestrophic system of PDE, which models atmospheric flows, and this work involves methods related to Monge-Kantorovich mass transport theory.



Andreas Seeger Andreas Seeger
Professor
Technische Hochschule Darmstadt, 1985
seeger at math dot wisc dot edu
Research Interests: Harmonic Analysis
Research Description:

Andreas' research interests include singular integrals, pointwise convergence of Fourier series, Fourier and spectral multiplier transformations, function spaces, wave propagation, oscillatory and Fourier integral operators, maximal functions related to geometric questions, and other applications of harmonic analysis.



Leslie Smith Leslie Smith
Professor
MIT, 1988
lsmith at math dot wisc dot edu
Research Interests: Fluid Dynamics, Geophysical Fluid Dynamics
Research Description:

My research has focused on the nonlinear effects of inertia-gravity waves in atmosphere/ocean flows and the self-organization of waves and turbulence into large-scale coherent structures. Such structures are ubiquitous in nature, and include jets (the North American jet stream and the Gulf stream), vortices (low pressure areas, hurricanes, etc) and persistent layered flows (such as in the...



Saverio Spagnolie Saverio Spagnolie
Assistant Professor
Courant Institute, NYU, 2008
spagnolie at math dot wisc dot edu
Research Interests: Fluid dynamics, biolocomotion
Research Description:

Saverio Spagnolie's main research focus is on math.



Sam Stechman Sam Stechman
Associate Professor
Courant Institute, NYU, 2008
stechman at math dot wisc dot edu
Research Interests: Fluid dynamics, atmospheric science
Research Description:

Broadly speaking, my research is in applied math and climate science, and it involves a wide range of areas: stochastic models, multiscale asymptotics, partial differential equations (PDEs),and numerical models. These areas of mathematics play a crucial role in the Tropics, where clouds and storms – i.e., atmospheric convection – are organized through complex interactions with atmospheric...



Betsy Stovall
Assistant Professor
UC-Berkeley, 2009
stovall at math dot wisc dot edu
Research Interests: Harmonic Analysis
Research Description:

Betsy Stovall's main research focus is on harmonic analysis.



Brian Street Brian Street
Assistant Professor
Princeton University, 2007
street at math dot wisc dot edu
Research Interests: Singular Integrals, Several Complex Variables, Linear PDE
Research Description:

I am interested in singular integrals as they relate to linear partial differential equations. For instance, if P is a partial differential operator, there is sometimes an inverse operator T with PT=I, where I denotes the identity. Much of my research revolves around studying operators like T. More precisely, under what conditions on P can we obtain a good picture of what T looks like.

...



Jean-Luc Thiffeault Jean-Luc Thiffeault
Professor
University of Texas at Austin, 1998
jeanluc at math dot wisc dot edu
Research Interests: Fluid Dynamics
Research Description:

Jean-Luc Thiffeault's main research focus is on mixing in fluid dynamics. Mixing is relevant to many areas of science and engineering, including the pharmaceutical and food industries, oceanography, atmospheric sciences, and environmental engineering.



Hung Tran
Assistant Professor
UC Berkeley, 2012
hung@math.wisc.edu
Research Interests: Calculus of Variations, Nonlinear PDEs
Research Description:

Currently, I am interested in studying well-posedness and fine properties of some nonlinear PDEs such as Hamilton-Jacobi equations, fully nonlinear elliptic equations, front propagation, mean curvature flows, etc. In particular, I focus on some asymptotic problems (homogenization, large time behavior), duality nature, dynamical properties of solutions (connection to weak Kolmogorov-Arnold-...



Fabian Waleffe
Professor
MIT, 1989
waleffe at math dot wisc dot edu
Research Interests: Coherent structures, Computational methods, Fluid dynamics
Research Description:

Fabian Waleffe's main research focus has been on `Exact Coherent States', how to calculate them and how they control turbulent flows.

Exact coherent states are particular steady, traveling wave or periodic solutions of the governing partial differential equations (Navier-Stokes, Boussinesq) in physically realistic wall-bounded domains. These solutions are generally unstable, strongly...



Andrej Zlatoš
Associate Professor
Caltech, 2003
zlatos at math dot wisc dot edu
Research Interests: Reaction-diffusion equations, Fluid dynamics, Spectral theory of Schrödinger operators, and Orthogonal polynomials
Research Description:

Professor Zlatoš works in the areas of applied analysis and partial differential equations (PDEs), where his interest is primarily in parabolic and elliptic PDEs and fluid dynamics. His recent work has been focused on reaction-diffusion and advection-diffusion equations. These model evolution of quantities such as densities of chemicals or animal species, or temperatures of combusting media,...

Postdoctoral Fellows


 



Jennifer Beichman
Van Vleck Visiting Assistant Professor
beichman at math dot wisc dot edu
University of Michigan, 2013
Research Interests: Fluid Mechanics, Harmonic Analysis
Research Description:

My research considers the partial differential equations governing fluid motion. In particular, part of my research, joint with Sijue Wu of the University of Michigan, studies the type of initial data which leads to the formation of sharp corners in the surface of water. More recently, I have started studying the merging rates of vortex patches in 2D Euler flow with Sergey Denissov.



Brian Cook
Van Vleck Visiting Assistant Professor
bcook at math dot wisc dot edu
University of British Columbia, 2013
Research Interests: Harmonic Analysis, Additive/Extremal Combinatorics, and Additive Number Theory
Research Description:

I am particularly interested in applications of combinatorial and classical / higher order Fourier analytic methods to problems in number theory, such as Diophantine equations in many variables, and analysis, such as geometric Ramsey type problems.



Jessica Lin
Van Vleck Visiting Assistant Professor
jessica at math dot wisc dot edu
Chicago, 2014
Research Interests: Nonlinear Partial Differential Equations, Homogenization, Regularity Theory
Research Description:

My research is driven by the study of stochastic homogenization. In broad terms, stochastic homogenization refers to the study of macroscopic behavior subject to random microscopic effects. We capture this behavior by studying the asymptotic properties of solutions to certain partial differential equations modeling the phenomena. I am primarily interested in nonlinear and non-variational...



David Sondak
Van Vleck Visiting Assistant Professor
sondak at math dot wisc dot edu
Rensselaer Polytechnic Institute, 2013
Research Interests: Applied Math, Fluid Mechanics, Numerical Methods
Research Description:

My research focuses on various aspects of fluid dynamics ranging from magnetohydrodynamic turbulence to atmospheric fluid dynamics. Applications range from nuclear fusion to the geodynamo problem to understanding our climate and weather. More specifically, I work on developing numerical techniques for computational studies of these phenomena. A trademark of the dynamics of these systems is...

Graduate Fellows


 



Laura Cladek
Graduate Fellow
cladek at math dot wisc dot edu
Research Interests: Harmonic Analysis
Research Description:

I will be a second-year graduate student at UW-Madison this fall, and I am interested in harmonic analysis. My hobbies include traveling, hiking, and horseback riding. I also enjoy going out to eat at all the great restaurants here in Madison.



Tam Do
Graduate Fellow
tamdo at math dot wisc dot edu
Research Interests: Analysis, Partial Differential Equations
Research Description:

I am interested in Partial Differential Equations and Analysis. Currently, I am studying active scalar equations.



Will Mitchell
Graduate Fellow
whmitchell at math dot wisc dot edu
Research Interests: Fluid Dynamics, Computational Mathematics
Research Description:

I study problems related to numerical simulation of the slow flows of ice sheets and glaciers.



Keith Rush
Graduate Fellow
jkrush at math dot wisc dot edu
Research Interests: Approximation theory, orthogonal polynomials and applications
Research Description:



Jonathan Schroeder
Graduate Fellow
jschroeder at math dot wisc dot edu
Research Interests: PDE, Analysis, Differential Geometry
Research Description:

I'm a first year student interested in Analysis. The topics I'd be interested in researching are still somewhat nebulous, but these days I'm particularly intrigued by erogdicity and mixing.