Research Area(s):
Algebra/Algebraic Geometry
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I study geometric representation theory for finite and p-adic groups. In 2006-2011 Vladimir Drinfeld and I developed a geometric theory of representations and character sheaves for unipotent groups over finite fields. My current work extends and adapts these methods to analyze geometric constructions of certain supercuspidal representations of p-adic reductive groups. This work is also related to a joint project with Jared Weinstein, whose ultimate goal is to give an explicit proof of the local Langlands correspondence by computing the cohomology of the Lubin-Tate tower of a local field using purely local techniques.
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