AMS Student Chapter Seminar: Difference between revisions

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The AMS Student Chapter Seminar is an informal, graduate student seminar on a wide range of mathematical topics. Pastries (usually donuts) will be provided.
The AMS Student Chapter Seminar (aka Donut Seminar) is an informal, graduate student seminar on a wide range of mathematical topics. The goal of the seminar is to promote community building and give graduate students an opportunity to communicate fun, accessible math to their peers in a stress-free (but not sugar-free) environment. Pastries (usually donuts) will be provided.


* '''When:''' Wednesdays, 3:20 PM – 3:50 PM
* '''When:''' Wednesdays, 3:30 PM – 4:00 PM
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)
* '''Where:''' Van Vleck, 9th floor lounge (unless otherwise announced)
* '''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
* '''Organizers:''' Ivan Aidun, Kaiyi Huang, Ethan Schondorf


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.
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.


The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].
The schedule of talks from past semesters can be found [[AMS Student Chapter Seminar, previous semesters|here]].


== Fall 2019 ==
== Fall 2023==


=== October 9, Brandon Boggess===
===September 7, Alex Mine===
Title: My Favorite Fact about Continued Fractions


Title: An Application of Elliptic Curves to the Theory of Internet Memes
===September 14, Mei Rose Connor ===
Title: All Things Necessary and Possible: an introduction to the Kripke semantics of modal logic


Abstract: Solve polynomial equations with this one weird trick! Math teachers hate him!!!
Abstract: Modal logic is a branch of formal logic with far–reaching applications to fields such as philosophy, mathematics, computer science, and other parts of logic itself. It deals with which propositions, some of which are necessarily true (in the words of philosophy, a priori) and some of which are possibly true (analogously, a posteriori). But this will not be a philosophy talk. This talk will cover the notation, syntax, and one choice of semantics for modal logic known as the Kripke semantics. The Kripke semantics is a powerful tool that allows us to make connections between modal statements and first–order (or higher–order) logic ones. Along the way, the talk will explore how the simple symbols □ and ♢ can help to model ethics, represent the knowledge of individuals and even lead to an elegant gateway into the First Incompleteness result.


[[File:Thumbnail fruit meme.png]]
===September 21, Sun Woo Park ===
Title: What I did in my military service II (A functorial formulation of deep learning algorithms)


=== October 16, Jiaxin Jin===
Abstract: Even though deep learning algorithms (say convolutional neural networks, graph neural networks, and attention-transformers) show outstanding performances in executing certain tasks, there are also certain tasks that these algorithms do not perform well. We'll try to give a naive attempt to understand why such problems can occur. Similar to last semester, I will once again recall what I was interested in during the last few months of my 3-year military service in South Korea.


Title: Persistence and global stability for biochemical reaction-diffusion systems
===September 28, Caroline Nunn===
Title: Phinary Numbers


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.
Abstract: Everyone and their grandmother knows about binary numbers. But do you know about phinary numbers?  In this talk, we will explore the fun consequences of using an irrational number base system. We will define phinary representations of real numbers and explore which real numbers can be written using finite or recurring phinary representations.


=== October 23, Erika Pirnes===
===October 5, Gabriella Brown===
Title: Topological Entropy in Shift Spaces


(special edition: carrot seminar)
Abstract: Entropy is a concept that many STEM disciplines engage with, which results in many different perspectives on what exactly it is. This talk will introduce the perspective of symbolic dynamics by defining shifts of finite type and showing how to compute their topological entropy.


Title: Why do ice hockey players fall in love with mathematicians? (Behavior of certain number string sequences)
===October 12, Nakid Cordero===
Title: How to prove the Riemann Hypothesis: a logician's approach


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.
Abstract: ''Hint:'' ''Prove that you cannot disprove it.''


=== October 30, Yunbai Cao===
===October 19, Ari Davidovsky===
Title: Using Ultrafilters in Additive Combinatorics


Title: Kinetic theory in bounded domains
Abstract: The goal of this talk is to introduce the idea of ultrafilters and show how they help us prove some cool results from additive combinatorics. The main result proved will be Hindman's Theorem which states if we partition the natural numbers into finitely many sets then one of these sets A contains an infinite subset B such that the sum of any finitely many distinct elements in B will always be in A.


Abstract: In 1900, David Hilbert outlined 23 important problems in the International Congress of Mathematics. One of them is the Hilbert Sixth problem which asks the mathematical linkage between the mechanics from microscopic view and the macroscopic view. A realive 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.
===October 26, Otto Baier===
Title: "Circulant Matrices and the Discrete Fourier Transform"


=== November 6, Tung Nguyen===
Abstract: "Have you ever tried to use a finite difference method on a differential equation with periodic boundary conditions and said, 'I wonder how I could find the eigenvalues of this matrix analytically'? No? Well either way, you're going to find out!


Title: TBD
===November 2, Speaker TBA===
Title:


Abstract: TBD
Abstract:


=== November 13, Stephen Davis===
===November 9, Owen Goff===
Title:


Title: Random Motion
Abstract:


Abstract: We'll talk about how to see random motions from different points of view. We'll end up placing one of our favorite random motions in a very creative geometric space, which will help us see things we couldn't see before.
===November 16, Speaker TBA===
Title:


=== November 20, Colin Crowley===
Abstract:


Title: TBD
===November 23, CANCELLED FOR THANKSGIVING===


Abstract: TBD
===November 30, Speaker TBA===
Title:


=== December 4, Xiaocheng Li===
Abstract:


Title: TBD
===December 7, Speaker TBA===
Title:


Abstract: TBD
Abstract:


=== December 11, Chaojie Yuan===
===December 14, Maybe Cancelled?===
 
Title: TBD
 
Abstract: TBD

Latest revision as of 22:24, 25 October 2023

The AMS Student Chapter Seminar (aka Donut Seminar) is an informal, graduate student seminar on a wide range of mathematical topics. The goal of the seminar is to promote community building and give graduate students an opportunity to communicate fun, accessible math to their peers in a stress-free (but not sugar-free) environment. Pastries (usually donuts) will be provided.

  • When: Wednesdays, 3:30 PM – 4:00 PM
  • Where: Van Vleck, 9th floor lounge (unless otherwise announced)
  • Organizers: Ivan Aidun, Kaiyi Huang, Ethan Schondorf

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.

The schedule of talks from past semesters can be found here.

Fall 2023

September 7, Alex Mine

Title: My Favorite Fact about Continued Fractions

September 14, Mei Rose Connor

Title: All Things Necessary and Possible: an introduction to the Kripke semantics of modal logic

Abstract: Modal logic is a branch of formal logic with far–reaching applications to fields such as philosophy, mathematics, computer science, and other parts of logic itself. It deals with which propositions, some of which are necessarily true (in the words of philosophy, a priori) and some of which are possibly true (analogously, a posteriori). But this will not be a philosophy talk. This talk will cover the notation, syntax, and one choice of semantics for modal logic known as the Kripke semantics. The Kripke semantics is a powerful tool that allows us to make connections between modal statements and first–order (or higher–order) logic ones. Along the way, the talk will explore how the simple symbols □ and ♢ can help to model ethics, represent the knowledge of individuals and even lead to an elegant gateway into the First Incompleteness result.

September 21, Sun Woo Park

Title: What I did in my military service II (A functorial formulation of deep learning algorithms)

Abstract: Even though deep learning algorithms (say convolutional neural networks, graph neural networks, and attention-transformers) show outstanding performances in executing certain tasks, there are also certain tasks that these algorithms do not perform well. We'll try to give a naive attempt to understand why such problems can occur. Similar to last semester, I will once again recall what I was interested in during the last few months of my 3-year military service in South Korea.

September 28, Caroline Nunn

Title: Phinary Numbers

Abstract: Everyone and their grandmother knows about binary numbers. But do you know about phinary numbers? In this talk, we will explore the fun consequences of using an irrational number base system. We will define phinary representations of real numbers and explore which real numbers can be written using finite or recurring phinary representations.

October 5, Gabriella Brown

Title: Topological Entropy in Shift Spaces

Abstract: Entropy is a concept that many STEM disciplines engage with, which results in many different perspectives on what exactly it is. This talk will introduce the perspective of symbolic dynamics by defining shifts of finite type and showing how to compute their topological entropy.

October 12, Nakid Cordero

Title: How to prove the Riemann Hypothesis: a logician's approach

Abstract: Hint: Prove that you cannot disprove it.

October 19, Ari Davidovsky

Title: Using Ultrafilters in Additive Combinatorics

Abstract: The goal of this talk is to introduce the idea of ultrafilters and show how they help us prove some cool results from additive combinatorics. The main result proved will be Hindman's Theorem which states if we partition the natural numbers into finitely many sets then one of these sets A contains an infinite subset B such that the sum of any finitely many distinct elements in B will always be in A.

October 26, Otto Baier

Title: "Circulant Matrices and the Discrete Fourier Transform"

Abstract: "Have you ever tried to use a finite difference method on a differential equation with periodic boundary conditions and said, 'I wonder how I could find the eigenvalues of this matrix analytically'? No? Well either way, you're going to find out!

November 2, Speaker TBA

Title:

Abstract:

November 9, Owen Goff

Title:

Abstract:

November 16, Speaker TBA

Title:

Abstract:

November 23, CANCELLED FOR THANKSGIVING

November 30, Speaker TBA

Title:

Abstract:

December 7, Speaker TBA

Title:

Abstract:

December 14, Maybe Cancelled?