General information

Thomas Church photo

I am an Assistant Professor of Mathematics at Stanford University. During the 2016–2017 academic year I am on leave at the Institute for Advanced Study; I will be back at Stanford for the 2017–2018 academic year.

My research is in topology, especially low-dimensional topology, and representation theory. I am especially interested in moduli spaces, broadly defined. I was honored to receive the 2015 Kamil Duszenko Prize.

My CV is available.

I've just posted notes from a undergraduate reading course on differential topology.

New papers posted:
Linear and quadratic ranges in representation stability, with Miller, Nagpal, and Reinhold (posted June 2017)

Generating the Johnson filtration II: finite generation, with Putman (posted April 2017)

Bounding the homology of FI-modules (posted December 2016)

On cap sets and the group-theoretic approach to matrix multiplication, with Blasiak, Cohn, Grochow, Naslund, Sawin, and Umans (major update August 2016)

The codimension-one cohomology of SLnZ, with Putman (July 2016, final version)

Homology of FI-modules, with Ellenberg (major rewrite September 2016, final version)

Integrality in the Steinberg module and the top-dimensional cohomology of GLnOK, with Farb and Putman (revised August 2016)