Difference between revisions of "AMS Student Chapter Seminar"

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'''This page has not been updated in more than 1 year.''' 
 
 
 
 
 
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.
 
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.
  
* '''When:''' Wednesdays, 3:00 PM – 3:30 PM
+
* '''When:''' Wednesdays, 3:20 PM – 3:50 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/~hast/ Daniel Hast], [https://www.math.wisc.edu/~mrjulian/ Ryan Julian], Cullen McDonald, [https://www.math.wisc.edu/~zcharles/ Zachary Charles]
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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]
  
 
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 30 minutes long and should avoid assuming significant mathematical background beyond first-year graduate courses.
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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]].
  
== Spring 2017 ==
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== Fall 2018 ==
 +
 
 +
 
 +
=== September 26, Vladimir Sotirov ===
  
=== January 25, Brandon Alberts ===
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Title: Geometric Algebra
  
Title: Ultraproducts - they aren't just for logicians
+
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.
 +
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.
  
Abstract: If any of you have attended a logic talk (or one of Ivan's donut seminar talks) you may have learned about ultraproducts as a weird way to mash sets together to get bigger sets in a nice way. Something particularly useful to set theorists, but maybe not so obviously useful to the rest of us. I will give an accessible introduction to ultraproducts and motivate their use in other areas of mathematics.
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=== October 3, Juliette Bruce ===
  
=== February 1, Megan Maguire ===
+
Title: Kissing Conics
  
Title: Hyperbolic crochet workshop
+
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.
  
Abstract: TBA
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=== October 10, Kurt Ehlert ===
  
=== February 8, Cullen McDonald ===
+
Title: How to bet when gambling
  
=== February 15, Paul Tveite ===
+
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.
  
Title: Fun with Hamel Bases!
+
=== October 17, Bryan Oakley ===
  
Abstract: If we view the real numbers as a vector field over the rationals, then of course they have a basis (assuming the AOC). This is called a Hamel basis and allows us to do some cool things. Among other things, we will define two periodic functions that sum to the identity function.
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Title: Mixing rates
  
=== February 22, Wil Cocke ===
+
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.
  
Title: Practical Graph Isomorphism
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=== October 24, Micky Soule Steinberg ===
  
Abstract: Some graphs are different and some graphs are the same. Sometimes graphs differ only in name. When you give me a graph, you've picked an order. But, is it the same graph across every border?
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Title: TBD
  
=== March 1, Megan Maguire ===
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Abstract: TBD
  
Title: I stole this talk from Jordan.
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=== October 31, Sun Woo Park ===
  
Abstract: Stability is cool! And sometimes things we think don't have stability secretly do. This is an abridged version of a very cool talk I've seen Jordan give a couple times. All credit goes to him. Man, I should have stolen his abstract too.
+
Title: TBD
  
=== March 7, Liban Mohamed ===
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Abstract: TBD
  
Title: Strichartz Estimates from Qualitative to Quantitative
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=== November 7, TBD ===
  
Abstract: Strichartz estimates are inequalities that give one way understand the decay of solutions to dispersive PDEs. This talk is an attempt to reconcile the formal statements with physical intuition.
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Title: TBD
  
=== March 15, Zachary Charles ===
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Abstract: TBD
  
Title: Netflix Problem and Chill
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=== November 14, Soumya Sankar ===
  
Abstract: How are machine learning, matrix analysis, and Napoleon Dynamite related? Come find out!
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Title: TBD
  
=== April 5, Vlad Matei ===
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Abstract: TBD
  
=== April 12, Micky Steinberg ===
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=== November 21, Cancelled due to Thanksgiving===
  
Title: Groups as metric spaces
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Title: TBD
  
Abstract: Given a group as a set of generators and relations, we can define the “word metric” on the group as the length of the shortest word “between” two elements. This isn’t well-defined, since different generating sets give different metrics, but it is well-defined up to “quasi-isometry”.  Come find out what we can do with this! There will lots of pictures and hand-waving!
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Abstract: TBD
  
=== April 19, Solly Parenti ===
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=== November 28, Niudun Wang ===
  
Title: Elementary Integration
+
Title: TBD
  
Abstract: Are you like me? Have you also told your calculus students that finding the antiderivative of e^(-x^2) is impossible? Do you also only have a slight idea about how to prove it? Come find out more about the proof and free yourself of that guilt.
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Abstract: TBD
  
=== April 26, Ben Bruce ===
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=== December 5, TBD ===
  
Title: Permutation models
+
Title: TBD
  
Abstract: Permutation models belong to a version of axiomatic set theory known as "set theory with atoms." I will give some examples of permutation models and highlight their connection to the axiom of choice and notions of infinity. There will be concrete examples, and no prior knowledge of set theory is required.
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Abstract: TBD
  
=== May 3, Iván Ongay-Valverde ===
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=== December 12, TBD ===
  
Title: Living with countably many reals?
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Title: TBD
  
Abstract: Can I make you believe that a countable set of reals are all the reals? If we just have countably many reals, what happens with the others? Do they have any special properties? Let's play a little with our notion of 'reality' and allow to ourselves to find crazy reals doing weird things. Hopefully, no-one's headache will last forever.
+
Abstract: TBD

Revision as of 14:02, 7 October 2018

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.

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.

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

Fall 2018

September 26, Vladimir Sotirov

Title: Geometric Algebra

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. 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.

October 3, Juliette Bruce

Title: Kissing Conics

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.

October 10, Kurt Ehlert

Title: How to bet when gambling

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.

October 17, Bryan Oakley

Title: Mixing rates

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.

October 24, Micky Soule Steinberg

Title: TBD

Abstract: TBD

October 31, Sun Woo Park

Title: TBD

Abstract: TBD

November 7, TBD

Title: TBD

Abstract: TBD

November 14, Soumya Sankar

Title: TBD

Abstract: TBD

November 21, Cancelled due to Thanksgiving

Title: TBD

Abstract: TBD

November 28, Niudun Wang

Title: TBD

Abstract: TBD

December 5, TBD

Title: TBD

Abstract: TBD

December 12, TBD

Title: TBD

Abstract: TBD