My research interests are broadly in geometric representation theory. I am particularly interested in symplectic singularities, Springer theory, and Lie theory. I am currently studying partial resolutions of symplectic singularities and their relationship to parabolic induction and restriction in Lie theory. I am also interested in perverse and constructible sheaves, particularly on symplectic singularities such as nilpotent cones, quiver varieties, and affine grassmannian slices.Â
In my recent paper (https://arxiv.org/abs/2311.13593) I study the birational geometry, Poisson deformation theory and Springer theory of crepant partial resolutions of conical affine symplectic singularities. I also construct and study a version of Namikawa Weyl group for these partial resolutions.
If you are interested in discussing any of this please reach out to me at as28174@uga.edu!