## General information

I am an Assistant Professor of Mathematics at Stanford University. 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 Fall 2015 I will be teaching Math 113 (a proof-based introduction to linear algebra and matrix theory) and Math 120 (a fast-paced abstract course in modern algebra; for an idea of the syllabus, see last year's course page). In Winter 2016 I will teach Math Discovery Lab (Math 101), a discovery-based project course in mathematics offered for the first time in 2015. Admission will be available to current Stanford students via application in the fall.

I run the Representation Stability Seminar and am an organizer of the Topology Seminar. My CV is available. My office is 383Y in Sloan Hall (Building 380, on the Main Quad).

**New papers posted:**

*The codimension-one cohomology of SL*_{n}**Z**, with Andrew Putman (posted **July 2015**)

*Homology of FI-modules*, with Jordan Ellenberg (posted **June 2015**)

*Integrality in the Steinberg module and the top-dimensional cohomology of GL*_{n}*O*_{K}, with Benson Farb and Andrew Putman (posted December 2014)

*Generating the Johnson filtration*, with Andrew Putman (updated October 2014)