Assistant Professor
Department of Mathematical Sciences
📍 AB-2, 2F1
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Research Area
Number Theory
Research Interests
My research interests are in number theory, particularly in Galois representations and modular forms. Currently I have been working on determining optimal weights and the structure of 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.
Ph.D., University of Chicago
Abhik Ganguli and Suneel Kumar. On the local constancy of certain mod p Galois representations. Research in Number Theory 10(2):52, May 2024. URL, DOI
Abhik Ganguli. On the reduction modulo p of certain modular p-adic Galois representations. Journal of Number Theory 172:392-412, 2017. URL, DOI
Abhik Ganguli and Eknath Ghate. Reductions of Galois representations via the mod p Local Langlands Correspondence. Journal of Number Theory 147:250-286, 2015. URL, DOI