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Hello! I am a Postdoctoral Researcher at Max-Planck-Institut für Mathematik (MPIM). My mentor is Prof. Pieter Moree. Prior to rejoining MPIM, I held a postdoc position at The University of Hong Kong with Prof. Ben Kane. I completed my Ph.D. in Mathematics at The Institute of Mathematical Sciences under the supervision of Prof. Sanoli Gun in December 2022.
My research interests lie in number theory. I am specifically focusing on topics such as the distribution of Euler-Kronecker’s constants, primes in arithmetic progressions, the irrationality of zeta values, sieve methods, and class field theory. Initially, I was more interested in the linear independence, transcendence, and non-vanishing of special values of periodic $L$-functions and Dedekind zeta functions as well as their derivatives, recently my interest shifted more to distributional aspects. We have investigated the distribution of Euler-Kronecker's constant of cyclotomic fields and explored their interrelations with Kummer's conjecture. This conjecture predicts the asymptotic growth of the first factor of the class number of a cyclotomic field. Currently, I am working on understanding the pair correlation of the zeros of Dirichlet $L$-series and its connection with the theory of primes in arithmetic progressions.
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