Number Theory Research Group

The Number Theory Group pursues research across analytic and algebraic aspects of number theory. On the analytic side, the group studies \(L\)-functions, their mean values, discrete moments, and connections to the distribution of primes. Sieve methods, exponential sums, and probabilistic techniques in number theory are also central themes, with applications to the Hardy–Littlewood conjectures and multiplicative functions.

On the algebraic side, the group works in Iwasawa theory, with a focus on \(p\)-adic \(L\)-functions, Selmer complexes, and Euler systems attached to automorphic Galois representations, connecting classical analytic number theory with the modern arithmetic geometry of eigenvarieties.