I am an Assistant Professor in the Department of Mathematical Sciences, IISER Mohali.
My research interests are in number theory, particularly in Galois representations and modular forms. I have been working on determining optimal weights and Serre weights for modular mod p Galois representations associated to certain mod p Hilbert modular forms. My interests also lie in certain aspects of the mod p and p-adic local Langlands program. In particular, the problem of computing the mod p reduction of crystalline representations as an application of the mod p local Langlands correspondence.
Publications & Preprints:
1. (With Eknath Ghate) Reductions of Galois representations via the mod p Local Langlands correspondence, J. Number Theory 147 (2015), 250–286. (Preprint) (Journal DOI)
2. On the reduction modulo p of certain modular p-adic Galois representations, J. Number Theory 172 (2017), 392–412. (Preprint) (Journal DOI)
3. (With Suneel Kumar) On the local constancy of certain mod p Galois representations, Res. Number Theory 10, (2024), no. 2, Paper No. 52. (Preprint) (Journal DOI)
4. (With Shalini Bhattacharya) Weights for mod p quaternionic forms in the unramified case (to appear in Journal of Algebra and its Applications). (Preprint) (Journal DOI)
5. (With Suneel Kumar) Determination of certain mod p Galois representations using local constancy (to appear in Journal de Théorie des Nombres de Bordeaux). (Preprint)
Previously, I was a Postdoctoral Visiting Scientist at TIFR (Mumbai). Before this I was an NSF Mathematical Institutes Postdoctoral Fellow of IAS (Princeton) and Rutgers University (Piscataway). I received my Ph.D. in mathematics from the University of Chicago under the supervision of Mark Kisin.