Faculty of Arts & Science
My area of research is analytic number theory. My main area of interest is the theory of the Riemann zeta function and L-functions. However, I am also interested in a variety of problems in multiplicative and prime number theory. Some of the recent topics I have worked on are: simple zeros of L-functions, mean values of L-functions, non-vanishing of L-functions, the least prime in Chebotarev's density theorem, sums over the zeros of the zeta function, gaps between zeros of the zeta function, mean value estimates for Dirichlet polynomials, convolution sums of arithmetic functions, and various questions concerning distribution functions of number theoretic functions.