In my thesis, I work on a question related to the geometry of the eigencurve at weight 1 Eisenstein points. The focus of my research is p-adic families of modular forms and their relation with deformations of Galois representations. More broadly, my research interests include modular forms, p-adic L-functions, Shimura varieties, deformation theory, eigenvarieties, perfectoid spaces, Iwasawa theory.
"On the eigencurve at weight one Eisenstein points" with Adel Betina and Mladen Dimitrov, in preparation
Quebec-Vermont Number Theory Seminar "The eigencurve at weight one Eisenstein points" April 2018
Laval University, Quebec "The eigencurve at weight one Eisenstein points" October 2017
Universitat Politécnica de Catalunya, Barcelona "The eigencurve at weight one Eisenstein points" June 2017
McGill University, Montreal at the Number Theory Graduate Seminar:
" An overview of the proof of the Sato-Tate Conjecture"
"On freeness of the Hecke Algebra over a certain group ring in the proof of Fermat's Last Theorem (after de Shalit)"
"Proof of the Iwasawa Main Conjecture"
"The tower of modular curves as a perfectoid space (after P. Scholze)"
"Stratification of Hilbert Modular Varieties"
"Analytic continuation for Up-eigenforms (after K. Buzzard and R.Taylor)"