My research is in topology, especially low-dimensional topology, and often uses representation theory. I am especially interested in moduli spaces, broadly defined. I was honored to receive the 2015 Kamil Duszenko Prize.
In Winter 2016 I taught Math Discovery Lab (Math 101), a discovery-based project course in mathematics offered for the first time in 2015. In Fall 2015 I taught Math 113 (a proof-based introduction to linear algebra and matrix theory) and Math 120 (a fast-paced abstract course in modern algebra).
My CV is available. My office is 383Y in Sloan Hall (Building 380, on the Main Quad).
New papers posted:
On cap sets and the group-theoretic approach to matrix multiplication, with Jonah Blasiak, Henry Cohn, Joshua Grochow, and Chris Umans (posted May 2016)