General information

I am an Assistant Professor of Mathematics at Stanford University.

In Winter 2015 I will be teaching Math Discovery Lab, a new discovery-based project course in mathematics. Admission is available to current Stanford students via application.

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

I 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:
Generating the Johnson filtration, with Andrew Putman (posted November 2013)

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

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

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

FI-modules: a new approach to stability for Sn-representations, with Jordan Ellenberg and Benson Farb

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

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