Department of Mathematics and Statistics

  Research Profile

My research interest lies in the interface of number theory, various geometry and string theory. Here are brief descriptions of the projects that I have been working on these days. The main focuses are on the following four concrete problems:

(a) to investigate the supercongruences for rigid hypergeometric Calabi--Yau threefolds over ${Q}$

(b) to investigate the intermediate Jacobians of rigid Calabi--Yau threefolds over ${Q}$

(c) to investigate the modularity/automorphy of the Galois representations of rank $\geq 4$ motives arising from Calabi--Yau threefolds over ${Q}$

(d) to investigate the point and curve counting and modular forms on Calabi--Yau manifolds