General information

I am an Assistant Professor of Mathematics at Stanford University.

In Winter 2015 I am teaching Math Discovery Lab (Math 101), a new discovery-based project course in mathematics.

My research is in topology, especially low-dimensional topology, and often uses representation theory. I am especially interested in moduli spaces, broadly defined.

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:
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)

Representation stability in cohomology and asymptotics for families of varieties over finite fields, with Jordan Ellenberg and Benson Farb (posted September 2013)

FI-modules and stability for representations of symmetric groups, with Jordan Ellenberg and Benson Farb (updated September 2014)

FI-modules over Noetherian rings, with Jordan Ellenberg, Benson Farb, and Rohit Nagpal (posted October 2012, updated March 2014)

Rotor-routing and spanning trees on planar graphs, with Melody Chan and Joshua Grochow (posted August 2013, updated January 2014)

Older papers updated:
Orbits of curves under the Johnson kernel (updated April 2014)

Representation theory and homological stability, with Benson Farb (updated June 2013)