Research Interests
My research interests lie in algebraic number theory, particularly modular forms, modularity theorems, and the p-adic and mod p Langlands programs. I also work in computational number theory, focusing on the classification of small cyclotomic integers.
Preprints
- With Debargha Banerjee and Kannappan Sampath, Locally algebraic lattices for inner forms of GL2: explicit construction and multiplicity one in mod p cohomology . (In preparation.)
- With Jitendra Bajpai, Kiran S. Kedlaya and Jorge Mello, On the classification of small cyclotomic integers . [arXiv]
- With Debargha Banerjee, Dhrubajyoti Das, Tathagata Mandal and Sudipa Mondal, Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus . [arXiv]. (Submitted.)
Publications
- With Jitendra Bajpai, Kiran S. Kedlaya, Nam H. Le, Meghan Lee, Antoine Leudière and Jorge Mello, The exceptional set in Cassels's theorem on small cyclotomic integers . To appear in Journal für die reine und angewandte Mathematik (Crelle's Journal). [arXiv] [Code]
- With Debargha Banerjee, A note on extensions of p-adic representations of GL2(Qp) . Appeared in Canadian Mathematical Bulletin. [arXiv] [Published version]
Frank Calegari discussed the work in papers (2) and (4) in his blog.