Mathematics
My research interests are in number theory, particularly in Galois representations and modular forms. Currently I have been working on determining the 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 Langla