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.
New papers posted:
The codimension-one cohomology of SLnZ, 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 GLnOK, with Benson Farb and Andrew Putman (posted December 2014)
Generating the Johnson filtration, with Andrew Putman (updated October 2014)