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.
Relative linear dependence on abelian schemes. (in progress)
Unlikely Intersection Theory and a Relative Silverman Theorem (with Quang Khai Nguyen)
Logarithmic Fontaine Integration and p-adic uniformization of Abelian Varieties.
Detecting Linear Problem for Abelian Varieties and Tori over Finitely Generated Fields (with Quang Khai Nguyen)
Inertial Action on Tate module of Abelian Varieties.