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General information
I am currently Szegő 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. My CV is available. I am an organizer of the Topology Seminar. My office is 383Y in Sloan Hall (Building 380, on the Main Quad).
This winter I am teaching Math 113, "Linear Algebra and Matrix Theory", MWF 2:15–3:05pm in 200-034. The texbook is Linear Algebra Done Right by Axler.
Last fall I taught Math 283, a graduate topics course on representation stability. The course surveyed recent work in representation stability, including FI-modules and their application to Putman's theorem on central stability for homology of congruence subgroups.
New papers posted:
FI-modules over Noetherian rings, with Jordan Ellenberg, Benson Farb, and Rohit Nagpal (posted October 5)
A stability conjecture for the unstable cohomology of SLnZ, mapping class groups, and Aut(Fn), with Benson Farb and Andrew Putman (updated August 16)
FI-modules: a new approach to stability for Sn-representations, with Jordan Ellenberg and Benson Farb (posted April 3)