The Weighted Fundamental Lemma for nonsplit groups
Draft manuscript of the weighted fundamental lemma and nonstandard weighted fundamental lemma for quasi-split groups.
Research
Research & publications
Geometric representation theory, the Langlands program, and the geometry of moduli spaces.
Research interests
My interests center on Hitchin fibrations, endoscopy, and affine Springer fibers, including their role in applications to trace formulae. I am also interested in the geometrization of nonarchimedean local representation theory, as well as the theory of singular support and characteristic cycles in positive characteristic. A slightly-out of date research statement can be found here.
Publications
Enumerating Hassett's wall and chamber decomposition of the moduli space of weighted stable curves
With Kenneth Ascher, Daniel Gershenson, and Elaine Hou. Experimental Mathematics 29 (2020), 36–53.
Expository writings
Notes and expository materials from algebraic geometry, number theory, and representation theory.