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
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.