WOMP 2022

(Last updated September 19, 2022)

The Warmup Program for entering first year graduate students in mathematics is a social and academic program organized by older graduate students in the math department. The goals of the 2022 program will be to inform students about coursework and research content available in the department, provide opportunities for first year students to meet older graduate students, form connections essential to an inclusive department, and develop a group dynamic among the first year cohort.

Events will be in Eckhart 206 unless otherwise stated

*The schedule down below is provisional, please check back for the final version nearer to the beginning of WOMP.


18 Sep
Pre-WOMP Brunch

Kick off the program with breakfast foods and the company of other graduate students. Aaron Slipper has graciously agreed to host at his apartment ( 1366 E 57th St., Apt. 3 ).
Tour of Hyde Park

Chris Wilson

Meet at the department.
19 Sep

Joshua Mundinger and Rose Elliott Smith

Welcome to the department. Meet the organizers and get oriented.

Linear Algebra

Joshua Mundinger

Topics: characteristic and minimal polynomial, Cayley-Hamilton theorem. Jordan canonical form. Dual spaces, dual transformations, inner products, and the spectral theorem.


Jinwoo Sung

Topics: Measures and sigma-algebras, non-measureable sets and Cantor sets, Lebesgue measure, integration, Dominated convergence, and Fubini's theorem.
Forum on Life in Chicago


Meet at the department.
20 Sep
Orientation with Faculty

Location: Zoom
The Zoom link will be distributed by email.

Representation Theory

Micah Gay

Topics: Maschke's theorem. Schur's Lemma and orthogonality of characters. Some examples of character tables.

Real Analysis

Polina Baron

Topics: Types of convergence and continuity, Stone-Weierstrass theorem, implicit function theorem, inverse function theorem, contraction mapping theorem
Research Talk

Isabella Scott (Advisors: Maryanthe Malliaris and Denis Hirschfeldt)

Title: Building "saturated" groups -- with divine intervention

Abstract: Most people, when presented with a proof that a problem cannot be solved, will just move on. Computability theorists, however, ask what would happen if we asked the Almighty for a little bit of help. I'll discuss what it means to pray to gods in the mathematical context, give an example of a problem from my research that can't be solved without divine intervention, and quantify just how much we really need from Above. (No logic background assumed)

Research Talk

Pallav Goyal

Title: Classical mechanics and Hamiltonian reduction

Abstract: Classical mechanics allows us to predict the behavior of a system of particles in terms of differential equations. However, solving such equations explicitly isn't always possible except in some special cases, where one can exploit the symmetries of nature to make our job easier, or at least more accessible using the tools of linear algebra and algebraic geometry. This talk will be about one such example and how it fits in the general theory of tackling such problems.
Board Game Night

Room: Ryerson 4th Floor
21 Sep
Smooth Manifolds

Meg Doucette

Topics: Tangent and cotangent bundle. Vector fields and differential forms. Exterior derivative, which commutes with pullback. Integration and Stokes' theorem.

Commutative Algebra

Wei Yao

Topics: Rings and modules. Prime ideals and localization. Introduction to varieties and the Nullstellensatz, emphasizing the dictionary between algebra and geometry.
Research Talk

Chengyang Bao

Title: The universe of LMFDB and Fermat's last theorem

Abstract: LMFDB is the database of L-functions, modular forms, and related objects. It has a universe as illustrated here: https://www.lmfdb.org/universe. I will first explain with a very specific example how to go through the path: motives -- Galois representations -- automorphic forms. Then I will explain how this path implies Fermat's last theorem. If there's time left, I will say a few words on my research.

Research Talk

Bill Cooperman

Title: Percolation can help a feeble fish

Abstract: I'll discuss how results about percolation, a discrete process from statistical physics, can yield a quantitative rate of homogenization in a random environment for a model of combustion of a flammable gas. The presentation will be mostly self-contained, so you don't need to know what these words mean.

Rock Climbing

Wei Yao, Carlos Marcelo Servan

Fill out the survey sent by the organizers to indicate interest in attendance. More details to come.
22 Sep
Galois Theory

Aaron Slipper

Room: Ryerson 251
Topics: Irreducible polynomials, field extensions, splitting fields, algebraic closure, normal extensions through examples -- with a goal of presenting the Galois correspondence theorem.

The Fundamental Group

Iris Li

Room: Ryerson 251
Topics: Definition of homotopy and of the fundamental group. Some example computations. Covering spaces and deck transformations, towards the Galois correspondence for covers.
Research Talk

Rose Elliott Smith

Room: Ryerson 251

Title: The Mathematician’s Terrible, No-Good, Very Bad Example

Abstract: The limiting behavior of a dynamical system is often completely divergent from approximations using finite time behavior— often in ways that are both surprising and computationally insurmountable. A classic example of such a system is the so-called “standard map,” a one-parameter family of diffeomorphisms of the torus that has eluded classification for decades. Here, we will review why it is so often difficult to understand the behavior of a dynamical system, what I mean by “behavior” in the first place, and present a criterion for eliminating this difficulty.

Snack Break with AWM

Micah Gay and Katie Gravel

Enjoy snacks with the UChicago Association for Women in Math (AWM) while learning about issues prevalent among underrepresented groups in mathematics. Students of all genders are welcome! We will meet in the quad right outside of Eckhart.
23 Sep
Curves on Surfaces

Adrian Chu

Topics: Curves on surfaces, First and second fundamental forms, the Gauss map, geodesics, principal curvatures-- with a goal of presenting the Gauss-Bonnet theorem.

Complex Analysis

Seung uk Jang

Topics: Complex plane and Riemann sphere, Cauchy-Riemann equations, Laurent series, analytic functions-- with a goal of presenting the Cauchy integral formula and Liouville's theorem
Welcome Picnic

The Department

Eckhart Hall Lawn

"The Math Department will host a 'Welcome Picnic' on Friday, September 23, 2022 at 12:00 Noon for our faculty, staff and students. New members of the department do not need to send in RSVP's."
Research Talk

Ishan Banerjee

Title: Cayley Bacharach sets lie on curves

Abstract: I will discuss a theorem that I proved showing that under some hypotheses Cayley Bacharach sets lie on low degree curves. I will try to keep this relatively self contained. However I will assume that the audience knows what projective space is and is familiar with the Nullstellensatz.

Research Talk

Oliver Wang

Title: Smooth Structures and Group Actions

Abstract: I will talk about smooth structures on manifolds and how we can construct exotic structures when we require compatibility with group actions.

Forum on the First Year Program
Bonfire at the Point

Meet at Promontory Point .
24 Sep
Trip to the Art Institute

Meet at the 55th-56th-57th Metra stop.
WOMP Rager

Katie, Iris, Micah

The location will be sent by email.
25 Sep
Walk Downtown For Dinner


Meet at the exit tunnel to Promontory Point in front of the fountain at 3:30 PM. The walk will take approximately 2-2.5 hours, and we will end up at Giordano's.
26 Sep
Sexual Misconduct and Prevention Training

Forum on Finding an Adviser