## General information

I am an Assistant Professor of Mathematics at Stanford University; during the 2016–2017 academic year I will be on leave at the Institute for Advanced Study.

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**)

*The codimension-one cohomology of SL*_{n}**Z**, with Andrew Putman

*Homology of FI-modules*, with Jordan Ellenberg

*Integrality in the Steinberg module and the top-dimensional cohomology of GL*_{n}*O*_{K}, with Benson Farb and Andrew Putman

*Generating the Johnson filtration*, with Andrew Putman