# Graduate Student Advisory Committee (GSAC) Colloquium

**(**

Tuesdays, 4:35–5:35 PM, JWB 335

Math 6960–001

## Graduate Colloquium

Spring 2018Tuesdays, 4:35–5:35 PM, JWB 335

Math 6960–001

*credit hours available!*)

GSAC Home | Past Graduate Colloquia

## Organizational meeting

Note the unusual date: Wednesday Jan 10, 4:35 pm. Room: JWB 335.

## Graduate student forum

Elena Cherkaev, Karl SchwedeNote the unusual date: Wednesday Jan 17, 4:35 pm. Room: JWB 335.

This is a town-hall style event featuring our incoming and
outgoing Directors of Graduate Studies. Bring your questions, comments,
and concerns about being a graduate student in the math department. There
will also be a few short presentations about resources available to
graduate students.

## Applications of intersection homology in representation theory and data science

Adam BrownNote the unusual date: Wednesday Jan 24, 4:35 pm. Room: JWB 335.

In the early 1970's, Mark Goresky and Robert MacPherson
developed a revolutionary tool for the study of stratified topological
spaces. They called this new theory intersection homology (IH). Almost
immediately, IH spread to various areas of mathematics, gaining new
interpretations and applications far beyond the scope of the original
theory. As examples, we will discuss two areas of modern research stemming
from the development of IH. First, we will consider how IH can be used to
study representations of invertible complex and p-adic matrices. Second,
we will demonstrate how the mathematical techniques used to study IH can
be applied to modern problems in data science and manifold learning. This
talk will aim to give a general overview of the historical development and
modern applications of IH, while avoiding technical drudgery at all cost.
As such, no prerequisites will be assumed.

## Adversarial correction of experimental effects in high-throughput imaging assays

Berton Earnshaw - Recursion PharmaceuticalsHigh-throughput imaging assays generate thousands to millions of
images of cells under a large variety of genetic and chemical
perturbations. Despite following best practices, the statistics of these
images drift from experiment to experiment and even plate to plate within
an experiment due to many factors, and require correction before data from
different experiments can be compared. In this talk I will introduce the
work being done at Recursion Pharmaceuticals, then show how this
correction can be accomplished via an adversarial training task using
control perturbations on each plate.

## Teaching, learning, and puzzles

Liz FedakMany mathematics students have trouble graduating from the
procedural algebra taught in high school to the creative problem-solving
taught in college. However, there is already a fun leisure activity that
develops skills needed to excel in college mathematics: puzzles. We
discuss how to find, write, and use puzzles in your own teaching, the
benefits and drawbacks of doing so, and how the usage of puzzles humanizes
mathematics, as well as providing an accessible introduction to
puzzlehunts and puzzle culture. The audience will also solve a puzzle
written specifically for this talk.

## Counting points on algebraic curves over finite fields

Katrina HonigsIn this talk we will look at the problem of counting rational
points on algebraic curves over finite fields. At first glance this
problem might seem like something that must be handled case-by-case, but
there is a wealth of deep theory that can be applied to it to great
effect. In particular, we will look at some of the consequences of the
Riemann hypothesis for algebraic curves over finite fields for the problem
of point-counting.

## 5-minute research talks, meet-and-greet with snacks.

Aim: to match graduate students to potential advisors, to spread awareness
of research happening in the department, and to inspire conversation.

Are you a graduate student looking for a research advisor?
Generally curious about what types of research the professors in our
department do? Want to meet new people? Then this event is for you! Come
hear six professors summarize their research in only five minutes each.
The second half of this event will be an informal meet-and-greet over
snacks, where you can chat with your potential advisors and their
students.

Professors in alphabetical order:

- Jonathan Chaika

- Tommaso de Fernex

- Christel Hohenegger

- Sean Lawley

- Firas Rassoul-Agha

- Peter Trapa

## Wind, water, money, and math: The Navier-Stokes equations and Millenium Prize Problem

Kyle SteffenThe Navier-Stokes equations underlie a wide variety of
mathematical models of fluid flow in engineering and the sciences.
Mathematically, they are a system of nonlinear partial differential
equations for the unknown fluid velocity and fluid pressure. They are
also the subject of one of the six unsolved Millennium Prize Problems. A
correct proof of (or counter-example to) the problem statement set out by
the Clay Mathematics Institute would yield a $1,000,000 prize. This talk
will comprise a friendly introduction to the Navier-Stokes equations, the
Millennium Prize Problem statement, and some recent theoretical results -
no prerequisites will be assumed beyond Calculus 3 / a basic understanding
of Differential Equations.

## Szemerédi's theorem and ergodic theory

Donald RobertsonErdős and Turán conjectured that every large enough set of
integers contains finite arithmetic progressions of arbitrary length. This
was proved in the seventies by Szemerédi. In this talk we will see what
"large enough" means and how, following Furstenberg, the theorem can be
proved using ergodic theory.

## AWM Speaker Series with Dr. Candice Price

Candice Price - University of San DiegoIn February 2017, Erica Graham, Raegan Higgins, Shelby Wilson
and myself created the website “Mathematically Gifted and Black” to
highlight the contributions and service of Black Mathematicians to
academia, education, government, industry and society. This website hit on
the importance of representation, knowing our history and knowing our
impact. In this presentation, I will tell you about my mathematical
journey through the reflective lens of my participation in the creation of
the website www.mathematicallygiftedandblack.com.