Research

Research Interests: 

• Algebraic number theory. In particular I am interested in modular forms, modularity theorems, $p$-adic and mod $p$ local Langlands correspondence.

• Computational number theory. In particular I am interested in classification of small cyclotomic integers.

(Pre)-Publications: (In reverse chronological order)

•  (With Banerjee, Das, Mandal and Mondal) Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus (Arxiv). 

• (With Bajpai, Kedlaya, Le, Lee, Leudière and Mello) The exceptional set in Cassels's theorem on small cyclotomic integers (ArXiv) (Code).

•  (With Banerjee) A note on extensions of p-adic representations of GL_2(Q_p) (ArXiv) (Published Version)To appear in Canadian Mathematical Bulletin.