[Madera Canyon, AZ with wife Emily, Oct. 2016]

Gordon C. Brown

Department of Mathematics
University of Oklahoma
Norman, OK 73019-3103

gbrown [at] math [dot] ou [dot] edu

Welcome

I'm a PhD candidate and teaching assistant in the
math department at the University of Oklahoma.
I received my BS in math from UT Austin in 2012,
and my MA in math from OU in 2014. I'm orginally
from Dallas, TX.

My CV is here. I will graduate in December 2017.

Research

[At right is the Specht polytope P(3,1).]

My research interests lie in representation theory
and combinatorics. I'm particularly interested in
modules over Lie superalgebras and their quantum
groups. The prefix "super" refers to a $\mathbb{Z}_2$-grading
on these algebras, giving them an extra layer of
complexity than in the classical, non-super case.

At the moment I'm studying the type Q Lie
superalgebra $\mathfrak{q}_n$ and its quantum group $\operatorname{U}_q(\mathfrak{q}_n)$.
One of the two so-called "strange" Lie
superalgebras, $\mathfrak{q}_n$ resists investigation by some
of the methods that apply to the other Lie
superalgebras. There are, however, underlying
combinatorics that play a central role and are
fascinating all on their own. In fact whenever
possible I view morphisms diagrammatically.

I'm also very interested in the modular
representation theory of the symmetric groups,
and the areas of its modern day study - cyclotomic
KLR algebras, Kac-Moody 2-categories, etc.

[At right are the first 5 levels of the Young lattice.]

Teaching

For Fall 2017 I'm teaching Math 2924-012,
Differential and Integral Calculus II. Enrolled
students can find all course information and
materials on Canvas.

Please see my CV for my full teaching history.
As of Spring 2017 I've taught over 500 students!

Service

• Mentor in the OU Directed Reading Program.
[Same as the DRP at University of Maryland.]
• LGBTQ and Diversity Faculty Ally at OU.
• Co-organizer of CTS, GAS, and TORAS.
• Learning Specialist in the OU Math Center.
• Co-administrator of WeBWorK software at OU.
• Notes and Talks

• Young symmetrizers, Fall 2016 GAS talk.
• Quiver notes, for my mentee Christy Strauss.
• Intro to categorification, Spring 2016 GAS talk.
• Category $\mathscr{O}$ and AS functors, Fall 2015 GAS talk.