Welcome!

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.

Papers & Preprints:

1. (Jointly with Eknath Ghate) Reductions of Galois representations via the mod p Local Langlands correspondence, J. Number Theory 147 (2015), 250–286.  (Preprint)  (Journal DOI link) 

2. On the reduction modulo p of certain modular p-adic Galois representations, J. Number Theory 172 (2017), 392–412. (Preprint)  (Journal DOI link) 

3. (Jointly 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 link)  

4. (Jointly with Shalini Bhattacharya) Weights for mod p quaternionic forms in the unramified case. (Preprint)  

5. (Jointly with Suneel Kumar) Determination of certain mod p Galois representations using local constancy. (Preprint).

Previously, I was a Postdoctoral Visiting Scientist at TIFR (Mumbai). Before TIFR, 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.