**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, p-adic modular forms**,...

Or their applications in number theory problems: **counting rational points on varieties, explicit methods in arithmetic geometry, diophantine approximation**,...

**Works in progress**

**Works in progress**

**On p-adic uniformization of abelian varieties with semi-stable reduction**(joint with Adrian Iovita and Nicola Mazzari).**On the Mazur-Tate-Teitelbaum conjecture for higher weights.**