My general research interests lie in the intersection of number theory and algebraic geometry. Specific topics include abelian varieties, modular forms and their L-functions. The main theme of my study is to investigate objects from the local point of view, namely: p-adic Hodge theory, p-adic integration, p-adic L-functions. 

Recently, I also study arithmetic problems over global field setting.

• Motivic Zeta Function for Log Hilbert Schemes (with Suraj Dash).

• Relative linear dependence on abelian schemes. (in progress).

• Remarks on a  Silverman Theorem (with Quang Khai Nguyen). (pdf)

• On P-adic Uniformization of Abelian Varieties with Semi-stable Reduction. (pdf)

• Detecting Linear Problem for Abelian Varieties and Tori over Finitely Generated Fields (with Quang Khai Nguyen). (pdf)

• Galois Action on Tate module of Abelian Varieties. (pdf)