# Research

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.Â

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

# Works in progress

Works in progress

Logarithmic Fontaine Integration and p-adic uniformization of Abelian Varieties. (in preparation)

Unlikely Intersections and A Relative Silverman Theorem. (Available upon request)

Inertial Action on Tate module of Abelian Varieties. (Available upon request)