Research

Some of the questions that I have been thinking about:

Summary of my research papers

Hanlon-Hicks-Lazarev resolution revisited, with Lev Borisov. In preparation.

Stringy Hodge numbers of Pfaffian double mirrors and Homological Projective Duality.

Central charges in local mirror symmetry via hypergeometric duality.

Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms.

On hypergeometric duality conjecture, with Lev Borisov.

We construct explicit non-degenerate pairing between solution spaces of bbGKZ systems in arbitrary dimensions, which can be seen as a globalization of the Euler pairing on derived categories of toric CYs.

On duality of certain GKZ hypergeometric systems, with Lev Borisov and Chengxi Wang.

An undergrad research project. We settled the hypergeometric duality conjecture in dim 2 by a direct computation.