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About Research Interests Publications Talks Given CV

I am a PhD student in Number Theory at McGill University under the supervision of Henri Darmon and Payman Kassaei.

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.

Research Interests

Modular forms, Shimura varieties, Galois representations, p-adic L-functions, deformation rings, eigenvarieties, perfectoid spaces, Iwasawa theory

Publications

Talks

Quebec-Vermont Number Theory Seminar "The eigencurve at weight one Eisenstein points" April 2018

Montreal-Toronto Workshop in Number Theory "Parabolic Subgroups" January 2018 Slides PDF

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)"

"Perfectoid fields"

"Adic Spaces"

"Stratification of Hilbert Modular Varieties"

"Analytic continuation for Up-eigenforms (after K. Buzzard and R.Taylor)"