# Research

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.

# Works

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.