https://hilbert.math.wisc.edu/wiki/api.php?action=feedcontributions&user=Thaison&feedformat=atomUW-Math Wiki - User contributions [en]2021-03-07T06:16:24ZUser contributionsMediaWiki 1.30.1https://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=19161AMS Student Chapter Seminar2020-02-26T21:42:08Z<p>Thaison: /* TBD, Time TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar (aka Donut Seminar) is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 25 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Spring 2020 ==<br />
<br />
=== February 5, Alex Mine===<br />
<br />
Title: Khinchin's Constant<br />
<br />
Abstract: I'll talk about a really weird fact about continued fractions.<br />
<br />
=== February 12, Xiao Shen===<br />
<br />
Title: Coalescence estimates for the corner growth model with exponential weights<br />
<br />
Abstract: (Joint with Timo Seppalainen) I will talk about estimates for the coalescence time of semi-infinite directed geodesics in the planar corner growth model. Not much probability background is needed.<br />
<br />
=== February 19, Hyun Jong Kim===<br />
<br />
Title: Orbifolds for Music<br />
<br />
Abstract: In the first-ever music theory article published by the journal ''Science'', Dmitri Tymoczko uses orbifolds to describe a general framework for thinking about musical tonality. I am going to introduce the musical terms and ideas needed to describe how such orbifolds arise so that we can see an example of Tymoczko's geometric analysis of chord progressions.<br />
<br />
=== February 26, Solly Parenti===<br />
<br />
Title: Mathematical Measuring<br />
<br />
Abstract: What's the best way to measure things? Come find out!<br />
<br />
=== March 4, ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 11, Ivan Aidun===<br />
<br />
Title: The Notorious CRT<br />
<br />
Abstract: You're walking up Bascomb hill when a troll suddenly appears and says he'll kill you unless you compute the determinant of<br />
:<math> \begin{bmatrix}0 & -7 & -17 & -5 & -13\\8 & -14 & 14 & 11 & 15\\-5 & -17 & 10 & 2 & 10\\17 & 3 & -16 & -13 & 7\\-1 & 2 & -13 & -11 & 10\end{bmatrix}</math> <br />
by hand. wdyd?<br />
<br />
=== March 24 - Visit Day===<br />
<br />
==== Brandon Boggess, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== Yandi Wu, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== Maya Banks, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== Yuxi Han, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 1, Ying Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 8, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 15, Owen Goff===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 22, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: An Application of Elliptic Curves to the Theory of Internet Memes<br />
<br />
Abstract: Solve polynomial equations with this one weird trick! Math teachers hate him!!!<br />
<br />
[[File:Thumbnail fruit meme.png]]<br />
<br />
=== October 16, Jiaxin Jin===<br />
<br />
Title: Persistence and global stability for biochemical reaction-diffusion systems<br />
<br />
Abstract: The investigation of the dynamics of solutions of nonlinear reaction-diffusion PDE systems generated by biochemical networks is a great challenge; in general, even the existence of classical solutions is difficult to establish. On the other hand, these kinds of problems appear very often in biological applications, e.g., when trying to understand the role of spatial inhomogeneities in living cells. We discuss the persistence and global stability properties of special classes of such systems, under additional assumptions such as: low number of species, complex balance or weak reversibility.<br />
<br />
=== October 23, Erika Pirnes===<br />
<br />
(special edition: carrot seminar)<br />
<br />
Title: Why do ice hockey players fall in love with mathematicians? (Behavior of certain number string sequences)<br />
<br />
Abstract: Starting with some string of digits 0-9, add the adjacent numbers pairwise to obtain a new string. Whenever the sum is 10 or greater, separate its digits. For example, 26621 would become 81283 and then 931011. Repeating this process with different inputs gives varying behavior. In some cases the process terminates (becomes a single digit), or ends up in a loop, like 999, 1818, 999... The length of the strings can also start growing very fast. I'll discuss some data and conjectures about classifying the behavior.<br />
<br />
=== October 30, Yunbai Cao===<br />
<br />
Title: Kinetic theory in bounded domains<br />
<br />
Abstract: In 1900, David Hilbert outlined 23 important problems in the International Congress of Mathematics. One of them is the Hilbert's sixth problem which asks the mathematical linkage between the mechanics from microscopic view and the macroscopic view. A relative new mesoscopic point of view at that time which is "kinetic theory" was highlighted by Hilbert as the bridge to link the two. In this talk, I will talk about the history and basic elements of kinetic theory and Boltzmann equation, and the role boundary plays for such a system, as well as briefly mention some recent progress.<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: Introduction to Chemical Reaction Network<br />
<br />
Abstract: Reaction network models are often used to investigate the dynamics of different species from various branches of chemistry, biology and ecology. The study of reaction network has grown significantly and involves a wide range of mathematics and applications. In this talk, I aim to show a big picture of what is happening in reaction network theory. I will first introduce the basic dynamical models for reaction network: the deterministic and stochastic models. Then, I will mention some big questions of interest, and the mathematical tools that are used by people in the field. Finally, I will make connection between reaction network and other branches of mathematics such as PDE, control theory, and random graph theory.<br />
<br />
=== November 13, Jane Davis===<br />
<br />
Title: Brownian Minions<br />
<br />
Abstract: Having lots of small minions help you perform a task is often very effective. For example, if you need to grade a large stack of calculus problems, it is effective to have several TAs grade parts of the pile for you. We'll talk about how we can use random motions as minions to help us perform mathematical tasks. Typically, this mathematical task would be optimization, but we'll reframe a little bit and focus on art and beauty instead. We'll also try to talk about the so-called "storytelling metric," which is relevant here. There will be pictures and animations! π<br />
<br />
Sneak preview: some modern art generated with MATLAB.<br />
<br />
[[File:Picpic.jpg]]<br />
<br />
=== November 20, Colin Crowley===<br />
<br />
Title: Matroid Bingo<br />
<br />
Abstract: Matroids are combinatorial objects that generalize graphs and matrices. The famous combinatorialist Gian Carlo Rota once said that "anyone who has worked with matroids has come away with the conviction that matroids are one of the richest and most useful ideas of our day." Although his day was in the 60s and 70s, matroids remain an active area of current research with connections to areas such as algebraic geometry, tropical geometry, and parts of computer science. Since this is a doughnut talk, I will introduce matroids in a cute way that involves playing bingo, and then I'll show you some cool examples.<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: The method of stationary phase and Duistermaat-Heckman formula<br />
<br />
Abstract: The oscillatory integral $\int_X e^{itf(x)}\mu=:I(t), t\in \mathbb{R}$ is a fundamental object in analysis. In general, $I(t)$ seldom has an explicit expression as Fourier transform is usually inexplicit. In practice, we are interested in the asymptotic behavior of $I(t)$, that is, for $|t|$ very large. A classical tool of getting an approximation is the method of stationary phase which gives the leading term of $I(t)$. Furthermore, there are rare instances for which the approximation coincides with the exact value of $I(t)$. One example is the Duistermaat-Heckman formula in which the Hamiltonian action and the momentum map are addressed. In the talk, I will start with basic facts in Fourier analysis, then discuss the method of stationary phase and the Duistermaat-Heckman formula.<br />
<br />
=== December 11, Chaojie Yuan===<br />
<br />
Title: Coupling and its application in stochastic chemical reaction network<br />
<br />
Abstract: Stochastic models for chemical reaction networks have become increasingly popular in the past few decades. When the molecules are present in low numbers, the chemical system always displays randomness in their dynamics, and the randomness cannot be ignored as it can have a significant effect on the overall properties of the dynamics. In this talk, I will introduce the stochastic models utilized in the context of biological interaction network. Then I will discuss coupling in this context, and illustrate through examples how coupling methods can be utilized for numerical simulations. Specifically, I will introduce two biological models, which attempts to address the behavior of interesting real-world phenomenon.</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=19028AMS Student Chapter Seminar2020-02-14T15:58:33Z<p>Thaison: /* April 1, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar (aka Donut Seminar) is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 25 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Spring 2020 ==<br />
<br />
=== February 5, Alex Mine===<br />
<br />
Title: Khinchin's Constant<br />
<br />
Abstract: I'll talk about a really weird fact about continued fractions.<br />
<br />
=== February 12, Xiao Shen===<br />
<br />
Title: Coalescence estimates for the corner growth model with exponential weights<br />
<br />
Abstract: (Joint with Timo Seppalainen) I will talk about estimates for the coalescence time of semi-infinite directed geodesics in the planar corner growth model. Not much probability background is needed.<br />
<br />
=== February 19, Hyun Jong Kim===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== February 26, Solly Parenti===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 4, ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 11, Ivan Aidun===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 24 - Visit Day===<br />
<br />
==== Brandon Boggess, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== Yandi Wu, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 1, Ying Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 8, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 15, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 22, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: An Application of Elliptic Curves to the Theory of Internet Memes<br />
<br />
Abstract: Solve polynomial equations with this one weird trick! Math teachers hate him!!!<br />
<br />
[[File:Thumbnail fruit meme.png]]<br />
<br />
=== October 16, Jiaxin Jin===<br />
<br />
Title: Persistence and global stability for biochemical reaction-diffusion systems<br />
<br />
Abstract: The investigation of the dynamics of solutions of nonlinear reaction-diffusion PDE systems generated by biochemical networks is a great challenge; in general, even the existence of classical solutions is difficult to establish. On the other hand, these kinds of problems appear very often in biological applications, e.g., when trying to understand the role of spatial inhomogeneities in living cells. We discuss the persistence and global stability properties of special classes of such systems, under additional assumptions such as: low number of species, complex balance or weak reversibility.<br />
<br />
=== October 23, Erika Pirnes===<br />
<br />
(special edition: carrot seminar)<br />
<br />
Title: Why do ice hockey players fall in love with mathematicians? (Behavior of certain number string sequences)<br />
<br />
Abstract: Starting with some string of digits 0-9, add the adjacent numbers pairwise to obtain a new string. Whenever the sum is 10 or greater, separate its digits. For example, 26621 would become 81283 and then 931011. Repeating this process with different inputs gives varying behavior. In some cases the process terminates (becomes a single digit), or ends up in a loop, like 999, 1818, 999... The length of the strings can also start growing very fast. I'll discuss some data and conjectures about classifying the behavior.<br />
<br />
=== October 30, Yunbai Cao===<br />
<br />
Title: Kinetic theory in bounded domains<br />
<br />
Abstract: In 1900, David Hilbert outlined 23 important problems in the International Congress of Mathematics. One of them is the Hilbert's sixth problem which asks the mathematical linkage between the mechanics from microscopic view and the macroscopic view. A relative new mesoscopic point of view at that time which is "kinetic theory" was highlighted by Hilbert as the bridge to link the two. In this talk, I will talk about the history and basic elements of kinetic theory and Boltzmann equation, and the role boundary plays for such a system, as well as briefly mention some recent progress.<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: Introduction to Chemical Reaction Network<br />
<br />
Abstract: Reaction network models are often used to investigate the dynamics of different species from various branches of chemistry, biology and ecology. The study of reaction network has grown significantly and involves a wide range of mathematics and applications. In this talk, I aim to show a big picture of what is happening in reaction network theory. I will first introduce the basic dynamical models for reaction network: the deterministic and stochastic models. Then, I will mention some big questions of interest, and the mathematical tools that are used by people in the field. Finally, I will make connection between reaction network and other branches of mathematics such as PDE, control theory, and random graph theory.<br />
<br />
=== November 13, Jane Davis===<br />
<br />
Title: Brownian Minions<br />
<br />
Abstract: Having lots of small minions help you perform a task is often very effective. For example, if you need to grade a large stack of calculus problems, it is effective to have several TAs grade parts of the pile for you. We'll talk about how we can use random motions as minions to help us perform mathematical tasks. Typically, this mathematical task would be optimization, but we'll reframe a little bit and focus on art and beauty instead. We'll also try to talk about the so-called "storytelling metric," which is relevant here. There will be pictures and animations! π<br />
<br />
Sneak preview: some modern art generated with MATLAB.<br />
<br />
[[File:Picpic.jpg]]<br />
<br />
=== November 20, Colin Crowley===<br />
<br />
Title: Matroid Bingo<br />
<br />
Abstract: Matroids are combinatorial objects that generalize graphs and matrices. The famous combinatorialist Gian Carlo Rota once said that "anyone who has worked with matroids has come away with the conviction that matroids are one of the richest and most useful ideas of our day." Although his day was in the 60s and 70s, matroids remain an active area of current research with connections to areas such as algebraic geometry, tropical geometry, and parts of computer science. Since this is a doughnut talk, I will introduce matroids in a cute way that involves playing bingo, and then I'll show you some cool examples.<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: The method of stationary phase and Duistermaat-Heckman formula<br />
<br />
Abstract: The oscillatory integral $\int_X e^{itf(x)}\mu=:I(t), t\in \mathbb{R}$ is a fundamental object in analysis. In general, $I(t)$ seldom has an explicit expression as Fourier transform is usually inexplicit. In practice, we are interested in the asymptotic behavior of $I(t)$, that is, for $|t|$ very large. A classical tool of getting an approximation is the method of stationary phase which gives the leading term of $I(t)$. Furthermore, there are rare instances for which the approximation coincides with the exact value of $I(t)$. One example is the Duistermaat-Heckman formula in which the Hamiltonian action and the momentum map are addressed. In the talk, I will start with basic facts in Fourier analysis, then discuss the method of stationary phase and the Duistermaat-Heckman formula.<br />
<br />
=== December 11, Chaojie Yuan===<br />
<br />
Title: Coupling and its application in stochastic chemical reaction network<br />
<br />
Abstract: Stochastic models for chemical reaction networks have become increasingly popular in the past few decades. When the molecules are present in low numbers, the chemical system always displays randomness in their dynamics, and the randomness cannot be ignored as it can have a significant effect on the overall properties of the dynamics. In this talk, I will introduce the stochastic models utilized in the context of biological interaction network. Then I will discuss coupling in this context, and illustrate through examples how coupling methods can be utilized for numerical simulations. Specifically, I will introduce two biological models, which attempts to address the behavior of interesting real-world phenomenon.</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=19027AMS Student Chapter Seminar2020-02-14T15:58:20Z<p>Thaison: /* March 4, Ying Li */</p>
<hr />
<div>The AMS Student Chapter Seminar (aka Donut Seminar) is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 25 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Spring 2020 ==<br />
<br />
=== February 5, Alex Mine===<br />
<br />
Title: Khinchin's Constant<br />
<br />
Abstract: I'll talk about a really weird fact about continued fractions.<br />
<br />
=== February 12, Xiao Shen===<br />
<br />
Title: Coalescence estimates for the corner growth model with exponential weights<br />
<br />
Abstract: (Joint with Timo Seppalainen) I will talk about estimates for the coalescence time of semi-infinite directed geodesics in the planar corner growth model. Not much probability background is needed.<br />
<br />
=== February 19, Hyun Jong Kim===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== February 26, Solly Parenti===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 4, ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 11, Ivan Aidun===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 24 - Visit Day===<br />
<br />
==== Brandon Boggess, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== Yandi Wu, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
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Title: TBD<br />
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Abstract: TBD<br />
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==== TBD, Time TBD====<br />
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Title: TBD<br />
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Abstract: TBD<br />
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==== TBD, Time TBD====<br />
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Title: TBD<br />
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Abstract: TBD<br />
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==== TBD, Time TBD====<br />
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Title: TBD<br />
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Abstract: TBD<br />
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==== TBD, Time TBD====<br />
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Title: TBD<br />
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Abstract: TBD<br />
<br />
==== TBD, Time TBD====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 1, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 8, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 15, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 22, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: An Application of Elliptic Curves to the Theory of Internet Memes<br />
<br />
Abstract: Solve polynomial equations with this one weird trick! Math teachers hate him!!!<br />
<br />
[[File:Thumbnail fruit meme.png]]<br />
<br />
=== October 16, Jiaxin Jin===<br />
<br />
Title: Persistence and global stability for biochemical reaction-diffusion systems<br />
<br />
Abstract: The investigation of the dynamics of solutions of nonlinear reaction-diffusion PDE systems generated by biochemical networks is a great challenge; in general, even the existence of classical solutions is difficult to establish. On the other hand, these kinds of problems appear very often in biological applications, e.g., when trying to understand the role of spatial inhomogeneities in living cells. We discuss the persistence and global stability properties of special classes of such systems, under additional assumptions such as: low number of species, complex balance or weak reversibility.<br />
<br />
=== October 23, Erika Pirnes===<br />
<br />
(special edition: carrot seminar)<br />
<br />
Title: Why do ice hockey players fall in love with mathematicians? (Behavior of certain number string sequences)<br />
<br />
Abstract: Starting with some string of digits 0-9, add the adjacent numbers pairwise to obtain a new string. Whenever the sum is 10 or greater, separate its digits. For example, 26621 would become 81283 and then 931011. Repeating this process with different inputs gives varying behavior. In some cases the process terminates (becomes a single digit), or ends up in a loop, like 999, 1818, 999... The length of the strings can also start growing very fast. I'll discuss some data and conjectures about classifying the behavior.<br />
<br />
=== October 30, Yunbai Cao===<br />
<br />
Title: Kinetic theory in bounded domains<br />
<br />
Abstract: In 1900, David Hilbert outlined 23 important problems in the International Congress of Mathematics. One of them is the Hilbert's sixth problem which asks the mathematical linkage between the mechanics from microscopic view and the macroscopic view. A relative new mesoscopic point of view at that time which is "kinetic theory" was highlighted by Hilbert as the bridge to link the two. In this talk, I will talk about the history and basic elements of kinetic theory and Boltzmann equation, and the role boundary plays for such a system, as well as briefly mention some recent progress.<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: Introduction to Chemical Reaction Network<br />
<br />
Abstract: Reaction network models are often used to investigate the dynamics of different species from various branches of chemistry, biology and ecology. The study of reaction network has grown significantly and involves a wide range of mathematics and applications. In this talk, I aim to show a big picture of what is happening in reaction network theory. I will first introduce the basic dynamical models for reaction network: the deterministic and stochastic models. Then, I will mention some big questions of interest, and the mathematical tools that are used by people in the field. Finally, I will make connection between reaction network and other branches of mathematics such as PDE, control theory, and random graph theory.<br />
<br />
=== November 13, Jane Davis===<br />
<br />
Title: Brownian Minions<br />
<br />
Abstract: Having lots of small minions help you perform a task is often very effective. For example, if you need to grade a large stack of calculus problems, it is effective to have several TAs grade parts of the pile for you. We'll talk about how we can use random motions as minions to help us perform mathematical tasks. Typically, this mathematical task would be optimization, but we'll reframe a little bit and focus on art and beauty instead. We'll also try to talk about the so-called "storytelling metric," which is relevant here. There will be pictures and animations! π<br />
<br />
Sneak preview: some modern art generated with MATLAB.<br />
<br />
[[File:Picpic.jpg]]<br />
<br />
=== November 20, Colin Crowley===<br />
<br />
Title: Matroid Bingo<br />
<br />
Abstract: Matroids are combinatorial objects that generalize graphs and matrices. The famous combinatorialist Gian Carlo Rota once said that "anyone who has worked with matroids has come away with the conviction that matroids are one of the richest and most useful ideas of our day." Although his day was in the 60s and 70s, matroids remain an active area of current research with connections to areas such as algebraic geometry, tropical geometry, and parts of computer science. Since this is a doughnut talk, I will introduce matroids in a cute way that involves playing bingo, and then I'll show you some cool examples.<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: The method of stationary phase and Duistermaat-Heckman formula<br />
<br />
Abstract: The oscillatory integral $\int_X e^{itf(x)}\mu=:I(t), t\in \mathbb{R}$ is a fundamental object in analysis. In general, $I(t)$ seldom has an explicit expression as Fourier transform is usually inexplicit. In practice, we are interested in the asymptotic behavior of $I(t)$, that is, for $|t|$ very large. A classical tool of getting an approximation is the method of stationary phase which gives the leading term of $I(t)$. Furthermore, there are rare instances for which the approximation coincides with the exact value of $I(t)$. One example is the Duistermaat-Heckman formula in which the Hamiltonian action and the momentum map are addressed. In the talk, I will start with basic facts in Fourier analysis, then discuss the method of stationary phase and the Duistermaat-Heckman formula.<br />
<br />
=== December 11, Chaojie Yuan===<br />
<br />
Title: Coupling and its application in stochastic chemical reaction network<br />
<br />
Abstract: Stochastic models for chemical reaction networks have become increasingly popular in the past few decades. When the molecules are present in low numbers, the chemical system always displays randomness in their dynamics, and the randomness cannot be ignored as it can have a significant effect on the overall properties of the dynamics. In this talk, I will introduce the stochastic models utilized in the context of biological interaction network. Then I will discuss coupling in this context, and illustrate through examples how coupling methods can be utilized for numerical simulations. Specifically, I will introduce two biological models, which attempts to address the behavior of interesting real-world phenomenon.</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=18837AMS Student Chapter Seminar2020-01-30T22:36:31Z<p>Thaison: /* March 4, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 25 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Spring 2020 ==<br />
<br />
=== February 5, Alex Mine===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== February 12, Xiao Shen===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== February 19, Hyun Jong Kim===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== February 26, Solly Parenti===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 4, Ying Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 11, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 24 - Visit Day===<br />
<br />
Leave Blank for now<br />
<br />
=== April 1, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 8, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 15, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 22, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: An Application of Elliptic Curves to the Theory of Internet Memes<br />
<br />
Abstract: Solve polynomial equations with this one weird trick! Math teachers hate him!!!<br />
<br />
[[File:Thumbnail fruit meme.png]]<br />
<br />
=== October 16, Jiaxin Jin===<br />
<br />
Title: Persistence and global stability for biochemical reaction-diffusion systems<br />
<br />
Abstract: The investigation of the dynamics of solutions of nonlinear reaction-diffusion PDE systems generated by biochemical networks is a great challenge; in general, even the existence of classical solutions is difficult to establish. On the other hand, these kinds of problems appear very often in biological applications, e.g., when trying to understand the role of spatial inhomogeneities in living cells. We discuss the persistence and global stability properties of special classes of such systems, under additional assumptions such as: low number of species, complex balance or weak reversibility.<br />
<br />
=== October 23, Erika Pirnes===<br />
<br />
(special edition: carrot seminar)<br />
<br />
Title: Why do ice hockey players fall in love with mathematicians? (Behavior of certain number string sequences)<br />
<br />
Abstract: Starting with some string of digits 0-9, add the adjacent numbers pairwise to obtain a new string. Whenever the sum is 10 or greater, separate its digits. For example, 26621 would become 81283 and then 931011. Repeating this process with different inputs gives varying behavior. In some cases the process terminates (becomes a single digit), or ends up in a loop, like 999, 1818, 999... The length of the strings can also start growing very fast. I'll discuss some data and conjectures about classifying the behavior.<br />
<br />
=== October 30, Yunbai Cao===<br />
<br />
Title: Kinetic theory in bounded domains<br />
<br />
Abstract: In 1900, David Hilbert outlined 23 important problems in the International Congress of Mathematics. One of them is the Hilbert's sixth problem which asks the mathematical linkage between the mechanics from microscopic view and the macroscopic view. A relative new mesoscopic point of view at that time which is "kinetic theory" was highlighted by Hilbert as the bridge to link the two. In this talk, I will talk about the history and basic elements of kinetic theory and Boltzmann equation, and the role boundary plays for such a system, as well as briefly mention some recent progress.<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: Introduction to Chemical Reaction Network<br />
<br />
Abstract: Reaction network models are often used to investigate the dynamics of different species from various branches of chemistry, biology and ecology. The study of reaction network has grown significantly and involves a wide range of mathematics and applications. In this talk, I aim to show a big picture of what is happening in reaction network theory. I will first introduce the basic dynamical models for reaction network: the deterministic and stochastic models. Then, I will mention some big questions of interest, and the mathematical tools that are used by people in the field. Finally, I will make connection between reaction network and other branches of mathematics such as PDE, control theory, and random graph theory.<br />
<br />
=== November 13, Jane Davis===<br />
<br />
Title: Brownian Minions<br />
<br />
Abstract: Having lots of small minions help you perform a task is often very effective. For example, if you need to grade a large stack of calculus problems, it is effective to have several TAs grade parts of the pile for you. We'll talk about how we can use random motions as minions to help us perform mathematical tasks. Typically, this mathematical task would be optimization, but we'll reframe a little bit and focus on art and beauty instead. We'll also try to talk about the so-called "storytelling metric," which is relevant here. There will be pictures and animations! π<br />
<br />
Sneak preview: some modern art generated with MATLAB.<br />
<br />
[[File:Picpic.jpg]]<br />
<br />
=== November 20, Colin Crowley===<br />
<br />
Title: Matroid Bingo<br />
<br />
Abstract: Matroids are combinatorial objects that generalize graphs and matrices. The famous combinatorialist Gian Carlo Rota once said that "anyone who has worked with matroids has come away with the conviction that matroids are one of the richest and most useful ideas of our day." Although his day was in the 60s and 70s, matroids remain an active area of current research with connections to areas such as algebraic geometry, tropical geometry, and parts of computer science. Since this is a doughnut talk, I will introduce matroids in a cute way that involves playing bingo, and then I'll show you some cool examples.<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: The method of stationary phase and Duistermaat-Heckman formula<br />
<br />
Abstract: The oscillatory integral $\int_X e^{itf(x)}\mu=:I(t), t\in \mathbb{R}$ is a fundamental object in analysis. In general, $I(t)$ seldom has an explicit expression as Fourier transform is usually inexplicit. In practice, we are interested in the asymptotic behavior of $I(t)$, that is, for $|t|$ very large. A classical tool of getting an approximation is the method of stationary phase which gives the leading term of $I(t)$. Furthermore, there are rare instances for which the approximation coincides with the exact value of $I(t)$. One example is the Duistermaat-Heckman formula in which the Hamiltonian action and the momentum map are addressed. In the talk, I will start with basic facts in Fourier analysis, then discuss the method of stationary phase and the Duistermaat-Heckman formula.<br />
<br />
=== December 11, Chaojie Yuan===<br />
<br />
Title: Coupling and its application in stochastic chemical reaction network<br />
<br />
Abstract: Stochastic models for chemical reaction networks have become increasingly popular in the past few decades. When the molecules are present in low numbers, the chemical system always displays randomness in their dynamics, and the randomness cannot be ignored as it can have a significant effect on the overall properties of the dynamics. In this talk, I will introduce the stochastic models utilized in the context of biological interaction network. Then I will discuss coupling in this context, and illustrate through examples how coupling methods can be utilized for numerical simulations. Specifically, I will introduce two biological models, which attempts to address the behavior of interesting real-world phenomenon.</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=18825AMS Student Chapter Seminar2020-01-30T15:53:34Z<p>Thaison: /* February 19, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 25 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Spring 2020 ==<br />
<br />
=== February 5, Alex Mine===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== February 12, Ying Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== February 19, Hyun Jong Kim===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== February 26, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 4, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 11, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 24 - Visit Day===<br />
<br />
Leave Blank for now<br />
<br />
=== April 1, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 8, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 15, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 22, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: An Application of Elliptic Curves to the Theory of Internet Memes<br />
<br />
Abstract: Solve polynomial equations with this one weird trick! Math teachers hate him!!!<br />
<br />
[[File:Thumbnail fruit meme.png]]<br />
<br />
=== October 16, Jiaxin Jin===<br />
<br />
Title: Persistence and global stability for biochemical reaction-diffusion systems<br />
<br />
Abstract: The investigation of the dynamics of solutions of nonlinear reaction-diffusion PDE systems generated by biochemical networks is a great challenge; in general, even the existence of classical solutions is difficult to establish. On the other hand, these kinds of problems appear very often in biological applications, e.g., when trying to understand the role of spatial inhomogeneities in living cells. We discuss the persistence and global stability properties of special classes of such systems, under additional assumptions such as: low number of species, complex balance or weak reversibility.<br />
<br />
=== October 23, Erika Pirnes===<br />
<br />
(special edition: carrot seminar)<br />
<br />
Title: Why do ice hockey players fall in love with mathematicians? (Behavior of certain number string sequences)<br />
<br />
Abstract: Starting with some string of digits 0-9, add the adjacent numbers pairwise to obtain a new string. Whenever the sum is 10 or greater, separate its digits. For example, 26621 would become 81283 and then 931011. Repeating this process with different inputs gives varying behavior. In some cases the process terminates (becomes a single digit), or ends up in a loop, like 999, 1818, 999... The length of the strings can also start growing very fast. I'll discuss some data and conjectures about classifying the behavior.<br />
<br />
=== October 30, Yunbai Cao===<br />
<br />
Title: Kinetic theory in bounded domains<br />
<br />
Abstract: In 1900, David Hilbert outlined 23 important problems in the International Congress of Mathematics. One of them is the Hilbert's sixth problem which asks the mathematical linkage between the mechanics from microscopic view and the macroscopic view. A relative new mesoscopic point of view at that time which is "kinetic theory" was highlighted by Hilbert as the bridge to link the two. In this talk, I will talk about the history and basic elements of kinetic theory and Boltzmann equation, and the role boundary plays for such a system, as well as briefly mention some recent progress.<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: Introduction to Chemical Reaction Network<br />
<br />
Abstract: Reaction network models are often used to investigate the dynamics of different species from various branches of chemistry, biology and ecology. The study of reaction network has grown significantly and involves a wide range of mathematics and applications. In this talk, I aim to show a big picture of what is happening in reaction network theory. I will first introduce the basic dynamical models for reaction network: the deterministic and stochastic models. Then, I will mention some big questions of interest, and the mathematical tools that are used by people in the field. Finally, I will make connection between reaction network and other branches of mathematics such as PDE, control theory, and random graph theory.<br />
<br />
=== November 13, Jane Davis===<br />
<br />
Title: Brownian Minions<br />
<br />
Abstract: Having lots of small minions help you perform a task is often very effective. For example, if you need to grade a large stack of calculus problems, it is effective to have several TAs grade parts of the pile for you. We'll talk about how we can use random motions as minions to help us perform mathematical tasks. Typically, this mathematical task would be optimization, but we'll reframe a little bit and focus on art and beauty instead. We'll also try to talk about the so-called "storytelling metric," which is relevant here. There will be pictures and animations! π<br />
<br />
Sneak preview: some modern art generated with MATLAB.<br />
<br />
[[File:Picpic.jpg]]<br />
<br />
=== November 20, Colin Crowley===<br />
<br />
Title: Matroid Bingo<br />
<br />
Abstract: Matroids are combinatorial objects that generalize graphs and matrices. The famous combinatorialist Gian Carlo Rota once said that "anyone who has worked with matroids has come away with the conviction that matroids are one of the richest and most useful ideas of our day." Although his day was in the 60s and 70s, matroids remain an active area of current research with connections to areas such as algebraic geometry, tropical geometry, and parts of computer science. Since this is a doughnut talk, I will introduce matroids in a cute way that involves playing bingo, and then I'll show you some cool examples.<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: The method of stationary phase and Duistermaat-Heckman formula<br />
<br />
Abstract: The oscillatory integral $\int_X e^{itf(x)}\mu=:I(t), t\in \mathbb{R}$ is a fundamental object in analysis. In general, $I(t)$ seldom has an explicit expression as Fourier transform is usually inexplicit. In practice, we are interested in the asymptotic behavior of $I(t)$, that is, for $|t|$ very large. A classical tool of getting an approximation is the method of stationary phase which gives the leading term of $I(t)$. Furthermore, there are rare instances for which the approximation coincides with the exact value of $I(t)$. One example is the Duistermaat-Heckman formula in which the Hamiltonian action and the momentum map are addressed. In the talk, I will start with basic facts in Fourier analysis, then discuss the method of stationary phase and the Duistermaat-Heckman formula.<br />
<br />
=== December 11, Chaojie Yuan===<br />
<br />
Title: Coupling and its application in stochastic chemical reaction network<br />
<br />
Abstract: Stochastic models for chemical reaction networks have become increasingly popular in the past few decades. When the molecules are present in low numbers, the chemical system always displays randomness in their dynamics, and the randomness cannot be ignored as it can have a significant effect on the overall properties of the dynamics. In this talk, I will introduce the stochastic models utilized in the context of biological interaction network. Then I will discuss coupling in this context, and illustrate through examples how coupling methods can be utilized for numerical simulations. Specifically, I will introduce two biological models, which attempts to address the behavior of interesting real-world phenomenon.</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=18824AMS Student Chapter Seminar2020-01-30T15:38:40Z<p>Thaison: /* February 12, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 25 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Spring 2020 ==<br />
<br />
=== February 5, Alex Mine===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== February 12, Ying Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== February 19, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== February 26, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 4, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 11, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== March 24 - Visit Day===<br />
<br />
Leave Blank for now<br />
<br />
=== April 1, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 8, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 15, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 22, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: An Application of Elliptic Curves to the Theory of Internet Memes<br />
<br />
Abstract: Solve polynomial equations with this one weird trick! Math teachers hate him!!!<br />
<br />
[[File:Thumbnail fruit meme.png]]<br />
<br />
=== October 16, Jiaxin Jin===<br />
<br />
Title: Persistence and global stability for biochemical reaction-diffusion systems<br />
<br />
Abstract: The investigation of the dynamics of solutions of nonlinear reaction-diffusion PDE systems generated by biochemical networks is a great challenge; in general, even the existence of classical solutions is difficult to establish. On the other hand, these kinds of problems appear very often in biological applications, e.g., when trying to understand the role of spatial inhomogeneities in living cells. We discuss the persistence and global stability properties of special classes of such systems, under additional assumptions such as: low number of species, complex balance or weak reversibility.<br />
<br />
=== October 23, Erika Pirnes===<br />
<br />
(special edition: carrot seminar)<br />
<br />
Title: Why do ice hockey players fall in love with mathematicians? (Behavior of certain number string sequences)<br />
<br />
Abstract: Starting with some string of digits 0-9, add the adjacent numbers pairwise to obtain a new string. Whenever the sum is 10 or greater, separate its digits. For example, 26621 would become 81283 and then 931011. Repeating this process with different inputs gives varying behavior. In some cases the process terminates (becomes a single digit), or ends up in a loop, like 999, 1818, 999... The length of the strings can also start growing very fast. I'll discuss some data and conjectures about classifying the behavior.<br />
<br />
=== October 30, Yunbai Cao===<br />
<br />
Title: Kinetic theory in bounded domains<br />
<br />
Abstract: In 1900, David Hilbert outlined 23 important problems in the International Congress of Mathematics. One of them is the Hilbert's sixth problem which asks the mathematical linkage between the mechanics from microscopic view and the macroscopic view. A relative new mesoscopic point of view at that time which is "kinetic theory" was highlighted by Hilbert as the bridge to link the two. In this talk, I will talk about the history and basic elements of kinetic theory and Boltzmann equation, and the role boundary plays for such a system, as well as briefly mention some recent progress.<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: Introduction to Chemical Reaction Network<br />
<br />
Abstract: Reaction network models are often used to investigate the dynamics of different species from various branches of chemistry, biology and ecology. The study of reaction network has grown significantly and involves a wide range of mathematics and applications. In this talk, I aim to show a big picture of what is happening in reaction network theory. I will first introduce the basic dynamical models for reaction network: the deterministic and stochastic models. Then, I will mention some big questions of interest, and the mathematical tools that are used by people in the field. Finally, I will make connection between reaction network and other branches of mathematics such as PDE, control theory, and random graph theory.<br />
<br />
=== November 13, Jane Davis===<br />
<br />
Title: Brownian Minions<br />
<br />
Abstract: Having lots of small minions help you perform a task is often very effective. For example, if you need to grade a large stack of calculus problems, it is effective to have several TAs grade parts of the pile for you. We'll talk about how we can use random motions as minions to help us perform mathematical tasks. Typically, this mathematical task would be optimization, but we'll reframe a little bit and focus on art and beauty instead. We'll also try to talk about the so-called "storytelling metric," which is relevant here. There will be pictures and animations! π<br />
<br />
Sneak preview: some modern art generated with MATLAB.<br />
<br />
[[File:Picpic.jpg]]<br />
<br />
=== November 20, Colin Crowley===<br />
<br />
Title: Matroid Bingo<br />
<br />
Abstract: Matroids are combinatorial objects that generalize graphs and matrices. The famous combinatorialist Gian Carlo Rota once said that "anyone who has worked with matroids has come away with the conviction that matroids are one of the richest and most useful ideas of our day." Although his day was in the 60s and 70s, matroids remain an active area of current research with connections to areas such as algebraic geometry, tropical geometry, and parts of computer science. Since this is a doughnut talk, I will introduce matroids in a cute way that involves playing bingo, and then I'll show you some cool examples.<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: The method of stationary phase and Duistermaat-Heckman formula<br />
<br />
Abstract: The oscillatory integral $\int_X e^{itf(x)}\mu=:I(t), t\in \mathbb{R}$ is a fundamental object in analysis. In general, $I(t)$ seldom has an explicit expression as Fourier transform is usually inexplicit. In practice, we are interested in the asymptotic behavior of $I(t)$, that is, for $|t|$ very large. A classical tool of getting an approximation is the method of stationary phase which gives the leading term of $I(t)$. Furthermore, there are rare instances for which the approximation coincides with the exact value of $I(t)$. One example is the Duistermaat-Heckman formula in which the Hamiltonian action and the momentum map are addressed. In the talk, I will start with basic facts in Fourier analysis, then discuss the method of stationary phase and the Duistermaat-Heckman formula.<br />
<br />
=== December 11, Chaojie Yuan===<br />
<br />
Title: Coupling and its application in stochastic chemical reaction network<br />
<br />
Abstract: Stochastic models for chemical reaction networks have become increasingly popular in the past few decades. When the molecules are present in low numbers, the chemical system always displays randomness in their dynamics, and the randomness cannot be ignored as it can have a significant effect on the overall properties of the dynamics. In this talk, I will introduce the stochastic models utilized in the context of biological interaction network. Then I will discuss coupling in this context, and illustrate through examples how coupling methods can be utilized for numerical simulations. Specifically, I will introduce two biological models, which attempts to address the behavior of interesting real-world phenomenon.</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=18172AMS Student Chapter Seminar2019-10-14T18:43:05Z<p>Thaison: /* October 16, Jiaxin Jin */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: An Application of Elliptic Curves to the Theory of Internet Memes<br />
<br />
Abstract: Solve polynomial equations with this one weird trick! Math teachers hate him!!!<br />
<br />
[[File:Thumbnail fruit meme.png]]<br />
<br />
=== October 16, Jiaxin Jin===<br />
<br />
Title: Persistence and global stability for biochemical reaction-diffusion systems<br />
<br />
Abstract: The investigation of the dynamics of solutions of nonlinear reaction-diffusion PDE systems generated by biochemical networks is a great challenge; in general, even the existence of classical solutions is difficult to establish. On the other hand, these kinds of problems appear very often in biological applications, e.g., when trying to understand the role of spatial inhomogeneities in living cells. We discuss the persistence and global stability properties of special classes of such systems, under additional assumptions such as: low number of species, complex balance or weak reversibility.<br />
<br />
=== October 23, Erika Pirnes===<br />
<br />
(special edition: carrot seminar)<br />
<br />
Title: Why do ice hockey players fall in love with mathematicians? (Behavior of certain number string sequences)<br />
<br />
Abstract: Starting with some string of digits 0-9, add the adjacent numbers pairwise to obtain a new string. Whenever the sum is 10 or greater, separate its digits. For example, 26621 would become 81283 and then 931011. Repeating this process with different inputs gives varying behavior. In some cases the process terminates (becomes a single digit), or ends up in a loop, like 999, 1818, 999... The length of the strings can also start growing very fast. I'll discuss some data and conjectures about classifying the behavior.<br />
<br />
=== October 30, Yunbai Cao===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 13, Stephen Davis===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 20, Colin Crowley===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 11, Chaojie Yuan===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=18052AMS Student Chapter Seminar2019-09-30T21:19:28Z<p>Thaison: /* November 20, Yuxi Han */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 16, Jiaxin Jin===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 23, Erika Pirnes===<br />
<br />
Title: Number string sequences<br />
<br />
Abstract: Starting with some string of digits 0-9, add the adjacent numbers pairwise to obtain a new string. Whenever the sum is 10 or greater, separate its digits. For example, 26621 would become 81283 and then 931011. Repeating this process with different inputs gives varying behavior. In some cases the process terminates (becomes a single digit), or ends up in a loop, like 999, 1818, 999... The length of the strings can also start growing very fast. I'll discuss some data and conjectures about classifying the behavior.<br />
<br />
=== October 30, Yunbai Cao===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 13, Stephen Davis===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 20, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 11, Chaojie Yuan===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=18028AMS Student Chapter Seminar2019-09-26T18:04:38Z<p>Thaison: /* November 20, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 16, Jiaxin Jin===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 23, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 30, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 13, Stephen Davis===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 20, Yuxi Han===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 11, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=18026AMS Student Chapter Seminar2019-09-26T16:53:37Z<p>Thaison: /* October 30, Hyun Jong Kim */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 16, Jiaxin Jin===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 23, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 30, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 13, Stephen Davis===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 20, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 11, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=18025AMS Student Chapter Seminar2019-09-26T16:32:43Z<p>Thaison: /* October 30, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 16, Jiaxin Jin===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 23, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 30, Hyun Jong Kim===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 13, Stephen Davis===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 20, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 11, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=18020AMS Student Chapter Seminar2019-09-26T13:41:22Z<p>Thaison: /* November 13, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 16, Jiaxin Jin===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 23, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 30, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 13, Stephen Davis===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 20, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 11, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=18019AMS Student Chapter Seminar2019-09-26T13:29:06Z<p>Thaison: /* October 16, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 16, Jiaxin Jin===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 23, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 30, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 13, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 20, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 11, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=18015AMS Student Chapter Seminar2019-09-25T21:18:45Z<p>Thaison: /* November 6, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 16, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 23, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 30, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 6, Tung Nguyen===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 13, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 20, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 11, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=18014AMS Student Chapter Seminar2019-09-25T20:23:18Z<p>Thaison: /* December 4, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu], Carrie Chen<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2019 ==<br />
<br />
=== October 9, Brandon Boggess===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 16, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 23, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 30, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 6, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 13, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 20, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 4, Xiaocheng Li===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 11, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=17222AMS Student Chapter Seminar2019-03-27T22:23:35Z<p>Thaison: /* April 3, Yu Feng */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu]<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Spring 2019 ==<br />
<br />
=== February 6, Xiao Shen (in VV B139)===<br />
<br />
Title: Limit Shape in last passage percolation<br />
<br />
Abstract: Imagine the following situation, attached to each point on the integer lattice Z^2 there is an arbitrary amount of donuts. Fix x and y in Z^2, if you get to eat all the donuts along an up-right path between these two points, what would be the maximum amount of donuts you can get? This model is often called last passage percolation, and I will discuss a classical result about its scaling limit: what happens if we zoom out and let the distance between x and y tend to infinity.<br />
<br />
=== February 13, Michel Alexis (in VV B139)===<br />
<br />
Title: An instructive yet useless theorem about random Fourier Series<br />
<br />
Abstract: Consider a Fourier series with random, symmetric, independent coefficients. With what probability is this the Fourier series of a continuous function? An <math>L^{p}</math> function? A surprising result is the Billard theorem, which says such a series results almost surely from an <math>L^{\infty}</math> function if and only if it results almost surely from a continuous function. Although the theorem in of itself is kind of useless in of itself, its proof is instructive in that we will see how, via the principle of reduction, one can usually just pretend all symmetric random variables are just coin flips (Bernoulli trials with outcomes <math>\pm 1</math>).<br />
<br />
=== February 20, Geoff Bentsen ===<br />
<br />
Title: An Analyst Wanders into a Topology Conference<br />
<br />
Abstract: Fourier Restriction is a big open problem in Harmonic Analysis; given a "small" subset <math>E</math> of <math>R^d</math>, can we restrict the Fourier transform of an <math>L^p</math> function to <math>E</math> and retain any information about our original function? This problem has a nice (somewhat) complete solution for smooth manifolds of co-dimension one. I will explore how to start generalizing this result to smooth manifolds of higher co-dimension, and how a topology paper from the 60s about the hairy ball problem came in handy along the way.<br />
<br />
=== February 27, James Hanson ===<br />
<br />
Title: What is...a Topometric Space?<br />
<br />
Abstract: Continuous first-order logic is a generalization of first-order logic that is well suited for the study of structures with a natural metric, such as Banach spaces and probability algebras. Topometric spaces are a simple generalization of topological and metric spaces that arise in the study of continuous first-order logic. I will discuss certain topological issues that show up in topometric spaces coming from continuous logic, as well as some partial solutions and open problems. No knowledge of logic will be required for or gained from attending the talk.<br />
<br />
=== March 6, Working Group to establish an Association of Mathematics Graduate Students ===<br />
<br />
Title: Introducing GRAMS (Graduate Representative Association of Mathematics Students)<br />
<br />
Abstract: Over the past couple months, a handful of us have been working to create the UW Graduate Representative Association of Mathematics Students (GRAMS). This group, about 5-8 students, is intended to be a liaison between the graduate students and faculty, especially in relation to departmental policies and decisions that affect graduate students. We will discuss what we believe GRAMS ought to look like and the steps needed to implement such a vision, then open up the floor to a Q&A. Check out our [http://sites.google.com/wisc.edu/grams/home website] for more information.<br />
<br />
=== March 13, Connor Simpson ===<br />
<br />
Title: Counting faces of polytopes with algebra<br />
<br />
Abstract: A natural question is: with a fixed dimension and number of vertices, what is the largest number of d-dimensional faces that a polytope can have? We will outline a proof of the answer to this question.<br />
<br />
=== March 26 (Prospective Student Visit Day), Multiple Speakers ===<br />
<br />
====Eva Elduque, 11-11:25====<br />
<br />
Title: Will it fold flat?<br />
<br />
Abstract: Picture the traditional origami paper crane. It is a 3D object, but if you donβt make the wings stick out, it is flat. This is the case for many origami designs, ranging from very simple (like a paper hat), to complicated tessellations. Given a crease pattern on a piece of paper, one might wonder if it is possible to fold along the lines of the pattern and end up with a flat object. Weβll discuss necessary and sufficient conditions for a crease pattern with only one vertex to fold flat, and talk about what can be said about crease patterns with multiple vertices.<br />
<br />
====Soumya Sankar, 11:30-11:55====<br />
<br />
Title: An algebro-geometric perspective on integration<br />
<br />
Abstract: Integrals are among the most basic tools we learn in complex analysis and yet are extremely versatile. I will discuss one way in which integrals come up in algebraic geometry and the surprising amount of arithmetic and geometric information this gives us.<br />
<br />
====Chun Gan, 12:00-12:25====<br />
<br />
Title: Extension theorems in complex analysis<br />
<br />
Abstract: Starting from Riemann's extension theorem in one complex variable, there have been many generalizations to different situations in several complex variables. I will talk about Fefferman's field's medal work on Fefferman extension and also the celebrated Ohsawa-Takegoshi L^2 extension theorem which is now a cornerstone for the application of pluripotential theory to complex analytic geometry.<br />
<br />
====Jenny Yeon, 2:00-2:25====<br />
<br />
Title: Application of Slope Field<br />
<br />
Abstract: Overview of historical problems in Dynamical Systems and what CRN(chemical reaction network) group at UW Madison does. In particular, what exactly is the butterfly effect? Why is this simple-to-state problem so hard even if it is only 2D (Hilbert's 16th problem)? What are some modern techniques availble? What do the members of CRN group do? Is the theory of CRN applicable? <br />
<br />
====Rajula Srivastava, 2:30-2:55====<br />
<br />
Title: The World of Wavelets<br />
<br />
Abstract: Why the fourier series might not be the best way to represent functions in all cases, and why wavelets might be a good alternative in some of these.<br />
<br />
====Shengyuan Huang, 3:00-3:25====<br />
<br />
Title: Group objects in various categories<br />
<br />
Abstract: I will introduce categories and talk about group objects in the category of sets and manifolds. The latter leads to the theory of Lie group and Lie algebras. We can then talk about group objects in some other category coming from algebraic geometry and obtain similar results as Lie groups and Lie algebras.<br />
<br />
====Ivan Ongay Valverde, 3:30-3:55====<br />
<br />
Title: Games and Topology<br />
<br />
Abstract: Studying the topology of the real line leads to really interesting questions and facts. One of them is the relation between some kind of infinite games, called topological games, and specific properties of a subsets of reals. In this talk we will study the perfect set game.<br />
<br />
====Sun Woo Park, 4:00-4:25====<br />
<br />
Title: Reconstruction of character tables of Sn<br />
<br />
Abstract: We will discuss how we can relate the columns of the character tables of Sn and the tensor product of irreducible representations over Sn. Using the relation, we will also indicate how we can recover some columns of character tables of Sn. <br />
<br />
====Max Bacharach, 4:30-4:55====<br />
<br />
Title: Clothes, Lice, and Coalescence<br />
<br />
Abstract: A gentle introduction to coalescent theory, motivated by an application which uses lice genetics to estimate when human ancestors first began wearing clothing.<br />
<br />
=== April 3, Yu Feng ===<br />
<br />
Title: Suppression of phase separation by mixing<br />
<br />
Abstract: The Cahn-Hilliard equation is a classical PDE that models phase separation of two components. We add an advection term so that the two components are stirred by a velocity. We show that there exists a class of fluid that can prevent phase separation and enforce the solution converges to its average exponentially.<br />
<br />
=== April 17, Hyun-Jong ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 24, Carrie Chen ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
== Fall 2019 ==<br />
<br />
=== September 25, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 2, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 9, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 16, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 23, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 30, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 6, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 13, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 20, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 4, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 12, TBD===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=17055AMS Student Chapter Seminar2019-02-27T18:05:13Z<p>Thaison: /* April 3, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu]<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Spring 2019 ==<br />
<br />
=== February 6, Xiao Shen (in VV B139)===<br />
<br />
Title: Limit Shape in last passage percolation<br />
<br />
Abstract: Imagine the following situation, attached to each point on the integer lattice Z^2 there is an arbitrary amount of donuts. Fix x and y in Z^2, if you get to eat all the donuts along an up-right path between these two points, what would be the maximum amount of donuts you can get? This model is often called last passage percolation, and I will discuss a classical result about its scaling limit: what happens if we zoom out and let the distance between x and y tend to infinity.<br />
<br />
=== February 13, Michel Alexis (in VV B139)===<br />
<br />
Title: An instructive yet useless theorem about random Fourier Series<br />
<br />
Abstract: Consider a Fourier series with random, symmetric, independent coefficients. With what probability is this the Fourier series of a continuous function? An <math>L^{p}</math> function? A surprising result is the Billard theorem, which says such a series results almost surely from an <math>L^{\infty}</math> function if and only if it results almost surely from a continuous function. Although the theorem in of itself is kind of useless in of itself, its proof is instructive in that we will see how, via the principle of reduction, one can usually just pretend all symmetric random variables are just coin flips (Bernoulli trials with outcomes <math>\pm 1</math>).<br />
<br />
=== February 20, Geoff Bentsen ===<br />
<br />
Title: An Analyst Wanders into a Topology Conference<br />
<br />
Abstract: Fourier Restriction is a big open problem in Harmonic Analysis; given a "small" subset <math>E</math> of <math>R^d</math>, can we restrict the Fourier transform of an <math>L^p</math> function to <math>E</math> and retain any information about our original function? This problem has a nice (somewhat) complete solution for smooth manifolds of co-dimension one. I will explore how to start generalizing this result to smooth manifolds of higher co-dimension, and how a topology paper from the 60s about the hairy ball problem came in handy along the way.<br />
<br />
=== February 27, James Hanson ===<br />
<br />
Title: What is...a Topometric Space?<br />
<br />
Abstract: Continuous first-order logic is a generalization of first-order logic that is well suited for the study of structures with a natural metric, such as Banach spaces and probability algebras. Topometric spaces are a simple generalization of topological and metric spaces that arise in the study of continuous first-order logic. I will discuss certain topological issues that show up in topometric spaces coming from continuous logic, as well as some partial solutions and open problems. No knowledge of logic will be required for or gained from attending the talk.<br />
<br />
=== March 6, Working Group to establish an Association of Mathematics Graduate Students ===<br />
<br />
Title: Math and Government<br />
<br />
Abstract: TBD<br />
<br />
=== March 13, Connor Simpson ===<br />
<br />
Title: Counting faces of polytopes with algebra<br />
<br />
Abstract: A natural question is: with a fixed dimension and number of vertices, what is the largest number of d-dimensional faces that a polytope can have? We will outline a proof of the answer to this question.<br />
<br />
=== March 26 (Prospective Student Visit Day), Multiple Speakers ===<br />
<br />
====Eva Elduque====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
====Rajula Srivastava====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
====Soumya Sankar====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
====Ivan Ongay Valverde, 3pm====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
====Sun Woo Park====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
====[Insert Speaker]====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
====[Insert Speaker]====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
====[Insert Speaker]====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
====[Insert Speaker]====<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 3, Yu Feng ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 10, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 17, Hyun-Jong ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== April 24, Carrie Chen ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=16337AMS Student Chapter Seminar2018-11-05T18:13:13Z<p>Thaison: /* November 7, Polly Yu */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student-run seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu]<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2018 ==<br />
<br />
<br />
=== September 26, Vladimir Sotirov ===<br />
<br />
Title: Geometric Algebra<br />
<br />
Abstract: Geometric algebra, developed at the end of the 19th century by Grassman, Clifford, and Lipschitz, is the forgotten progenitor of the linear algebra we use to this day developed by Gibbs and Heaviside.<br />
In this short introduction, I will use geometric algebra to do two things. First, I will construct the field of complex numbers and the division algebra of the quaternions in a coordinate-free way. Second, I will derive the geometric interpretation of complex numbers and quaternions as representations of rotations in 2- and 3-dimensional space. <br />
<br />
=== October 3, Juliette Bruce ===<br />
<br />
Title: Kissing Conics<br />
<br />
Abstract: Have you every wondered how you can easily tell when two plane conics kiss (i.e. are tangent to each other at a point)? If so this talk is for you, if not, well there will be donuts.<br />
<br />
=== October 10, Kurt Ehlert ===<br />
<br />
Title: How to bet when gambling<br />
<br />
Abstract: When gambling, typically casinos have the edge. But sometimes we can gain an edge by counting cards or other means. And sometimes we have an edge in the biggest casino of all: the financial markets. When we do have an advantage, then we still need to decide how much to bet. Bet too little, and we leave money on the table. Bet too much, and we risk financial ruin. We will discuss the "Kelly criterion", which is a betting strategy that is optimal in many senses.<br />
<br />
=== October 17, Bryan Oakley ===<br />
<br />
Title: Mixing rates<br />
<br />
Abstract: Mixing is a necessary step in many areas from biology and atmospheric sciences to smoothies. Because we are impatient, the goal is usually to improve the rate at which a substance homogenizes. In this talk we define and quantify mixing and rates of mixing. We present some history of the field as well as current research and open questions.<br />
<br />
=== October 24, Micky Soule Steinberg ===<br />
<br />
Title: What does a group look like?<br />
<br />
Abstract: In geometric group theory, we often try to understand groups by understanding the metric spaces on which the groups act geometrically. For example, Z^2 acts on R^2 in a nice way, so we can think of the group Z^2 instead as the metric space R^2.<br />
<br />
We will try to find (and draw) such a metric space for the solvable Baumslag-Solitar groups BS(1,n). Then we will briefly discuss what this geometric picture tells us about the groups.<br />
<br />
=== October 31, Sun Woo Park ===<br />
<br />
Title: Induction-Restriction Operators<br />
<br />
Abstract: Given a "nice enough" finite descending sequence of groups <math> G_n \supsetneq G_{n-1} \supsetneq \cdots \supsetneq G_1 \supsetneq \{e\} </math>, we can play around with the relations between induced and restricted representations. We will construct a formal <math> \mathbb{Z} </math>-module of induction-restriction operators on a finite descending sequence of groups <math> \{G_i\} </math>, written as <math> IR_{\{G_i\}} </math>. The goal of the talk is to show that the formal ring <math> IR_{\{G_i\}} </math> is a commutative polynomial ring over <math> \mathbb{Z} </math>. We will also compute the formal ring <math>IR_{\{S_n\}} </math> for a finite descending sequence of symmetric groups <math> S_n \supset S_{n-1} \supset \cdots \supset S_1 </math>. (Apart from the talk, I'll also prepare some treats in celebration of Halloween.)<br />
<br />
=== November 7, Polly Yu ===<br />
<br />
Title: Positive solutions to polynomial systems using a (mostly linear) algorithm<br />
<br />
Abstract: "Wait, did I read the title correctly? Solving non-linear systems using linear methods?β Yes you did. I will present a linear feasibility problem for your favourite polynomial system; if the algorithm returns an answer, youβve gotten yourself a positive solution to your system, and more than that, the solution set admits a monomial parametrization.<br />
<br />
=== November 14, Soumya Sankar ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 21, Cancelled due to Thanksgiving===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 28, Niudun Wang ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 5, Patrick Nicodemus ===<br />
<br />
Title: Applications of Algorithmic Randomness and Complexity<br />
<br />
Abstract: I will introduce the fascinating field of Kolmogorov Complexity and point out its applications in such varied areas as combinatorics, statistical inference and mathematical logic. In fact the Prime Number theorem, machine learning and Godel's Incompleteness theorem can all be investigated fruitfully through a wonderful common lens.<br />
<br />
=== December 12, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=16299AMS Student Chapter Seminar2018-10-29T18:04:27Z<p>Thaison: /* November 7, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student-run seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu]<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2018 ==<br />
<br />
<br />
=== September 26, Vladimir Sotirov ===<br />
<br />
Title: Geometric Algebra<br />
<br />
Abstract: Geometric algebra, developed at the end of the 19th century by Grassman, Clifford, and Lipschitz, is the forgotten progenitor of the linear algebra we use to this day developed by Gibbs and Heaviside.<br />
In this short introduction, I will use geometric algebra to do two things. First, I will construct the field of complex numbers and the division algebra of the quaternions in a coordinate-free way. Second, I will derive the geometric interpretation of complex numbers and quaternions as representations of rotations in 2- and 3-dimensional space. <br />
<br />
=== October 3, Juliette Bruce ===<br />
<br />
Title: Kissing Conics<br />
<br />
Abstract: Have you every wondered how you can easily tell when two plane conics kiss (i.e. are tangent to each other at a point)? If so this talk is for you, if not, well there will be donuts.<br />
<br />
=== October 10, Kurt Ehlert ===<br />
<br />
Title: How to bet when gambling<br />
<br />
Abstract: When gambling, typically casinos have the edge. But sometimes we can gain an edge by counting cards or other means. And sometimes we have an edge in the biggest casino of all: the financial markets. When we do have an advantage, then we still need to decide how much to bet. Bet too little, and we leave money on the table. Bet too much, and we risk financial ruin. We will discuss the "Kelly criterion", which is a betting strategy that is optimal in many senses.<br />
<br />
=== October 17, Bryan Oakley ===<br />
<br />
Title: Mixing rates<br />
<br />
Abstract: Mixing is a necessary step in many areas from biology and atmospheric sciences to smoothies. Because we are impatient, the goal is usually to improve the rate at which a substance homogenizes. In this talk we define and quantify mixing and rates of mixing. We present some history of the field as well as current research and open questions.<br />
<br />
=== October 24, Micky Soule Steinberg ===<br />
<br />
Title: What does a group look like?<br />
<br />
Abstract: In geometric group theory, we often try to understand groups by understanding the metric spaces on which the groups act geometrically. For example, Z^2 acts on R^2 in a nice way, so we can think of the group Z^2 instead as the metric space R^2.<br />
<br />
We will try to find (and draw) such a metric space for the solvable Baumslag-Solitar groups BS(1,n). Then we will briefly discuss what this geometric picture tells us about the groups.<br />
<br />
=== October 31, Sun Woo Park ===<br />
<br />
Title: Induction-Restriction Operators<br />
<br />
Abstract: Given a "nice enough" finite descending sequence of groups <math> G_n \supsetneq G_{n-1} \supsetneq \cdots \supsetneq G_1 \supsetneq \{e\} </math>, we can play around with the relations between induced and restricted representations. We will construct a formal <math> \mathbb{Z} </math>-module of induction-restriction operators on a finite descending sequence of groups <math> \{G_i\} </math>, written as <math> IR_{\{G_i\}} </math>. The goal of the talk is to show that the formal ring <math> IR_{\{G_i\}} </math> is a commutative polynomial ring over <math> \mathbb{Z} </math>. We will also compute the formal ring <math>IR_{\{S_n\}} </math> for a finite descending sequence of symmetric groups <math> S_n \supset S_{n-1} \supset \cdots \supset S_1 </math>. (Apart from the talk, I'll also prepare some treats in celebration of Halloween.)<br />
<br />
=== November 7, Polly Yu ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 14, Soumya Sankar ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 21, Cancelled due to Thanksgiving===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 28, Niudun Wang ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 5, Patrick Nicodemus ===<br />
<br />
Title: Applications of Algorithmic Randomness and Complexity<br />
<br />
Abstract: I will introduce the fascinating field of Kolmogorov Complexity and point out its applications in such varied areas as combinatorics, statistical inference and mathematical logic. In fact the Prime Number theorem, machine learning and Godel's Incompleteness theorem can all be investigated fruitfully through a wonderful common lens.<br />
<br />
=== December 12, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=16099AMS Student Chapter Seminar2018-10-01T21:50:09Z<p>Thaison: /* October 17, Bryan Oakley */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student-run seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu]<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2018 ==<br />
<br />
<br />
=== September 26, Vladimir Sotirov ===<br />
<br />
Title: Geometric Algebra<br />
<br />
Abstract: Geometric algebra, developed at the end of the 19th century by Grassman, Clifford, and Lipschitz, is the forgotten progenitor of the linear algebra we use to this day developed by Gibbs and Heaviside.<br />
In this short introduction, I will use geometric algebra to do two things. First, I will construct the field of complex numbers and the division algebra of the quaternions in a coordinate-free way. Second, I will derive the geometric interpretation of complex numbers and quaternions as representations of rotations in 2- and 3-dimensional space. <br />
<br />
=== October 3, Juliette Bruce ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 10, Kurt Ehlert ===<br />
<br />
Title: How to bet when gambling<br />
<br />
Abstract: When gambling, typically casinos have the edge. But sometimes we can gain an edge by counting cards or other means. And sometimes we have an edge in the biggest casino of all: the financial markets. When we do have an advantage, then we still need to decide how much to bet. Bet too little, and we leave money on the table. Bet too much, and we risk financial ruin. We will discuss the "Kelly criterion", which is a betting strategy that is optimal in many senses.<br />
<br />
=== October 17, Bryan Oakley ===<br />
<br />
Title: Mixing rates<br />
<br />
Abstract: Mixing is a necessary step in many areas from biology and atmospheric sciences to smoothies. Because we are impatient, the goal is usually to improve the rate at which a substance homogenizes. In this talk we define and quantify mixing and rates of mixing. We present some history of the field as well as current research and open questions.<br />
<br />
=== October 24, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 31, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 7, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 14, Soumya Sankar ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 21, Cancelled due to Thanksgiving===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 28, Niudun Wang ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 5, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 12, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=16081AMS Student Chapter Seminar2018-09-28T16:04:51Z<p>Thaison: /* October 17, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student-run seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu]<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2018 ==<br />
<br />
<br />
=== September 26, Vladimir Sotirov ===<br />
<br />
Title: Geometric Algebra<br />
<br />
Abstract: Geometric algebra, developed at the end of the 19th century by Grassman, Clifford, and Lipschitz, is the forgotten progenitor of the linear algebra we use to this day developed by Gibbs and Heaviside.<br />
In this short introduction, I will use geometric algebra to do two things. First, I will construct the field of complex numbers and the division algebra of the quaternions in a coordinate-free way. Second, I will derive the geometric interpretation of complex numbers and quaternions as representations of rotations in 2- and 3-dimensional space. <br />
<br />
=== October 3, Juliette Bruce ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 10, Jurt Ehlert ===<br />
<br />
Title: How to bet when gambling<br />
<br />
Abstract: When gambling, typically casinos have the edge. But sometimes we can gain an edge by counting cards or other means. And sometimes we have an edge in the biggest casino of all: the financial markets. When we do have an advantage, then we still need to decide how much to bet. Bet too little, and we leave money on the table. Bet too much, and we risk financial ruin. We will discuss the "Kelly criterion", which is a betting strategy that is optimal in many senses.<br />
<br />
=== October 17, Bryan Oakley ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 24, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 31, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 7, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 14, Soumya Sankar ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 21, Cancelled due to Thanksgiving===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 28, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 5, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 12, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaisonhttps://hilbert.math.wisc.edu/wiki/index.php?title=AMS_Student_Chapter_Seminar&diff=16080AMS Student Chapter Seminar2018-09-28T16:04:30Z<p>Thaison: /* October 10, TBD */</p>
<hr />
<div>The AMS Student Chapter Seminar is an informal, graduate student-run seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.<br />
<br />
* '''When:''' Wednesdays, 3:20 PM β 3:50 PM<br />
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)<br />
* '''Organizers:''' [https://www.math.wisc.edu/~malexis/ Michel Alexis], [https://www.math.wisc.edu/~drwagner/ David Wagner], [http://www.math.wisc.edu/~nicodemus/ Patrick Nicodemus], [http://www.math.wisc.edu/~thaison/ Son Tu]<br />
<br />
Everyone is welcome to give a talk. To sign up, please contact one of the organizers with a title and abstract. Talks are 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.<br />
<br />
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].<br />
<br />
== Fall 2018 ==<br />
<br />
<br />
=== September 26, Vladimir Sotirov ===<br />
<br />
Title: Geometric Algebra<br />
<br />
Abstract: Geometric algebra, developed at the end of the 19th century by Grassman, Clifford, and Lipschitz, is the forgotten progenitor of the linear algebra we use to this day developed by Gibbs and Heaviside.<br />
In this short introduction, I will use geometric algebra to do two things. First, I will construct the field of complex numbers and the division algebra of the quaternions in a coordinate-free way. Second, I will derive the geometric interpretation of complex numbers and quaternions as representations of rotations in 2- and 3-dimensional space. <br />
<br />
=== October 3, Juliette Bruce ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 10, Jurt Ehlert ===<br />
<br />
Title: How to bet when gambling<br />
<br />
Abstract: When gambling, typically casinos have the edge. But sometimes we can gain an edge by counting cards or other means. And sometimes we have an edge in the biggest casino of all: the financial markets. When we do have an advantage, then we still need to decide how much to bet. Bet too little, and we leave money on the table. Bet too much, and we risk financial ruin. We will discuss the "Kelly criterion", which is a betting strategy that is optimal in many senses.<br />
<br />
=== October 17, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 24, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== October 31, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 7, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 14, Soumya Sankar ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 21, Cancelled due to Thanksgiving===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== November 28, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 5, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD<br />
<br />
=== December 12, TBD ===<br />
<br />
Title: TBD<br />
<br />
Abstract: TBD</div>Thaison