# AMS Student Chapter Seminar

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**Where:**Van Vleck, 9th floor lounge (unless otherwise announced)**Organizers:**Daniel Hast, Ryan Julian, Cullen McDonald, Zachary Charles

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.

## Spring 2017

### January 25, Brandon Alberts

Title: Ultraproducts - they aren't just for logicians

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.

### February 1, Megan Maguire

Title: Hyperbolic crochet workshop

Abstract: TBA

### February 8, Cullen McDonald

### February 15, Paul Tveite

Title: Fun with Hamel Bases!

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.

### February 22, Wil Cocke

Title: Practical Graph Isomorphism

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?

### March 1, Megan Maguire

Title: I stole this talk from Jordan.

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.

### March 7, Liban Mohamed

Title: Strichartz Estimates from Qualitative to Quantitative

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.

### March 15, Zachary Charles

Title: Netflix Problem and Chill

Abstract: How are machine learning, matrix analysis, and Napoleon Dynamite related? Come find out!

### April 5, Vlad Matei

### April 12, Micky Steinberg

Title: Groups as metric spaces

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!

### April 19, Solly Parenti

Title: Elementary Integration

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.