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, Sampath) Locally algebraic lattices for inner forms of GL_2: explicit construction and multiplicity one in mod p cohomology (In preparation).

•  (With Bajpai, Kedlaya and Mello) On the classification of small cyclotomic integers (In preparation)

•  (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) To appear in Journal fur die reine und angewandte Mathematik (Crelle's Journal).

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