Representation theory, with an emphasis on geometric and diagrammatic techniques.
Some key words: perverse sheaves, Hecke category (parity sheaves, Braden–MacPherson moment graph sheaves, Soergel diagrammatics/bimodules), Koszul duality, modular representations of reductive groups, triply-graded knot homology.
-  (with P.N. Achar, S. Riche, and G. Williamson) Modular Koszul duality for Kac–Moody groups and characters of tilting modules
-  (with P.N. Achar, S. Riche, and G. Williamson) Free-monodromic mixed tilting sheaves on flag varieties
-  Modular Koszul duality for Soergel bimodules
-  Mixed perverse sheaves on moment graphs
-  Ph.D. Thesis, Stanford University, 2017 (available in paper form as  and )
Research done as an undergrad
Until early grad school, I thought I might want to do number theory. I wrote my undergraduate thesis at Princeton [-1] under Peter Sarnak. Even earlier, in summer 2009, I worked on [-2] for the fractal REU at UConn.