Difference between revisions of "AMS Student Chapter Seminar"

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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.
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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.
  
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* '''When:''' Wednesdays, 3:20 PM – 3:50 PM
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* '''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)
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* '''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]
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* '''Organizers:''' [https://people.math.wisc.edu/~ywu495/ Yandi Wu], Maya Banks
  
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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.
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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]].
  
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== Spring 2019 ==
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== Fall 2021 ==
  
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=== February 6, Xiao Shen (in VV B139)===
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=== September 29, John Cobb ===
  
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Title: Limit Shape in last passage percolation
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Title: Rooms on a Sphere
  
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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.
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Abstract: A classic combinatorial lemma becomes very simple to state and prove when on the surface of a sphere, leading to easy constructive proofs of some other well known theorems.
  
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=== February 13, Michel Alexis (in VV B139)===
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=== October 6, Karan Srivastava ===
  
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Title: An instructive yet useless theorem about random Fourier Series
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Title: An 'almost impossible' puzzle and group theory
  
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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>).
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Abstract: You're given a chessboard with a randomly oriented coin on every square and a key hidden under one of them; player one knows where the key is and flips a single coin; player 2, using only the information of the new coin arrangement must determine where the key is. Is there a winning strategy? In this talk, we will explore this classic puzzle in a more generalized context, with n squares and d sided dice on every square. We'll see when the game is solvable and in doing so, see how the answer relies on group theory and the existence of certain groups.
  
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=== February 20, Geoff Bentsen ===
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=== October 13, John Yin ===
  
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Title: An Analyst Wanders into a Topology Conference
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Title: TBA
  
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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.
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Abstract: TBA
  
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=== February 27, James Hanson ===
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=== October 20, Varun Gudibanda ===
  
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Title: What is...a Topometric Space?
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Title: TBA
  
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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.
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Abstract: TBA
  
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=== March 6, Working Group to establish an Association of Mathematics Graduate Students ===
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=== October 27, Andrew Krenz ===
  
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Title: Introducing GRAMS (Graduate Representative Association of Mathematics Students)
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Title: The 3-sphere via the Hopf fibration
  
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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.
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Abstract: The Hopf fibration is a map from $S^3$ to $S^2$.  The preimage (or fiber) of every point under this map is a copy of $S^1$.  In this talk I will explain exactly how these circles “fit together” inside the 3-sphere.  Along the way we’ll discover some other interesting facts in some hands-on demonstrations using paper and scissors. If there is time I hope to also relate our new understanding of $S^3$ to some other familiar models.
  
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=== March 13, Connor Simpson ===
 
  
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Title: Counting faces of polytopes with algebra
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=== November 3, TBA ===
  
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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.
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Title: TBA
  
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=== March 26 (Prospective Student Visit Day), Multiple Speakers ===
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Abstract: TBA
  
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====Eva Elduque, 11-11:25====
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=== November 10, TBA ===
  
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Title: Will it fold flat?
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Title: TBA
  
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Abstract: Picture the traditional origami paper crane. It is a 3D object, but if you don’t 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. We’ll 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.
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Abstract: TBA
  
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====Soumya Sankar, 11:30-11:55====
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=== November 17, TBA ===
  
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Title: An algebro-geometric perspective on integration
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Title: TBA
  
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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.
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Abstract: TBA
  
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====Chun Gan, 12:00-12:25====
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=== November 24, TBA ===
  
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Title: Extension theorems in complex analysis
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Title: TBA
  
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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.
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Abstract: TBA
  
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====Jenny Yeon, 2:00-2:25====
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=== December 1, TBA ===
  
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Title: Application of Slope Field
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Title: TBA
  
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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? 
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Abstract: TBA
  
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====Rajula Srivastava, 2:30-2:55====
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=== December 8, TBA ===
  
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Title: The World of Wavelets
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Title: TBA
  
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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.
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Abstract: TBA
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====Shengyuan Huang, 3:00-3:25====
 
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Title: Group objects in various categories
 
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Abstract: TBD
 
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====Ivan Ongay Valverde, 3:30-3:55====
 
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Title: Games and Topology
 
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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.
 
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====Sun Woo Park, 4:00-4:25====
 
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Title: Reconstruction of character tables of Sn
 
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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. 
 
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====Max Bacharach, 4:30-4:55====
 
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Title: Clothes, Lice, and Coalescence
 
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Abstract: A gentle introduction to coalescent theory, motivated by an application which uses lice genetics to estimate when human ancestors first began wearing clothing.
 
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=== April 3, Yu Feng ===
 
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Title: TBD
 
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Abstract: TBD
 
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=== April 17, Hyun-Jong ===
 
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Title: TBD
 
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Abstract: TBD
 
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=== April 24, Carrie Chen ===
 
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Title: TBD
 
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Abstract: TBD
 
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== Fall 2019 ==
 
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=== September 25, TBD===
 
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Title: TBD
 
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Abstract: TBD
 
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=== October 2, TBD===
 
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Title: TBD
 
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Abstract: TBD
 
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=== October 9, TBD===
 
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Title: TBD
 
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Abstract: TBD
 
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=== October 16, TBD===
 
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Title: TBD
 
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Abstract: TBD
 
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=== October 23, TBD===
 
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Title: TBD
 
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Abstract: TBD
 
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=== October 30, TBD===
 
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Title: TBD
 
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Abstract: TBD
 
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=== November 6, TBD===
 
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Title: TBD
 
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Abstract: TBD
 
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=== November 13, TBD===
 
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Title: TBD
 
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Abstract: TBD
 
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=== November 20, TBD===
 
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Title: TBD
 
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Abstract: TBD
 
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=== December 4, TBD===
 
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Title: TBD
 
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Abstract: TBD
 
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=== December 12, TBD===
 
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Title: TBD
 
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Abstract: TBD
 

Revision as of 15:39, 1 October 2021

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: Yandi Wu, Maya Banks

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 2021

September 29, John Cobb

Title: Rooms on a Sphere

Abstract: A classic combinatorial lemma becomes very simple to state and prove when on the surface of a sphere, leading to easy constructive proofs of some other well known theorems.

October 6, Karan Srivastava

Title: An 'almost impossible' puzzle and group theory

Abstract: You're given a chessboard with a randomly oriented coin on every square and a key hidden under one of them; player one knows where the key is and flips a single coin; player 2, using only the information of the new coin arrangement must determine where the key is. Is there a winning strategy? In this talk, we will explore this classic puzzle in a more generalized context, with n squares and d sided dice on every square. We'll see when the game is solvable and in doing so, see how the answer relies on group theory and the existence of certain groups.

October 13, John Yin

Title: TBA

Abstract: TBA

October 20, Varun Gudibanda

Title: TBA

Abstract: TBA

October 27, Andrew Krenz

Title: The 3-sphere via the Hopf fibration

Abstract: The Hopf fibration is a map from $S^3$ to $S^2$. The preimage (or fiber) of every point under this map is a copy of $S^1$. In this talk I will explain exactly how these circles “fit together” inside the 3-sphere. Along the way we’ll discover some other interesting facts in some hands-on demonstrations using paper and scissors. If there is time I hope to also relate our new understanding of $S^3$ to some other familiar models.


November 3, TBA

Title: TBA

Abstract: TBA

November 10, TBA

Title: TBA

Abstract: TBA

November 17, TBA

Title: TBA

Abstract: TBA

November 24, TBA

Title: TBA

Abstract: TBA

December 1, TBA

Title: TBA

Abstract: TBA

December 8, TBA

Title: TBA

Abstract: TBA

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