Research

Tatsuyuki Hikita is working on geometric representation theory. Especially, he is interested in certain duality called symplectic duality between representation theory of quantizations of conical symplectic resolutions. He made a conjecture that describes cohomology ring of conical symplectic resolutions in terms of the symplectic duality. He is also interested in the geometry of affine Springer fibers and their relation to the combinatorics of parking functions.