Introduction

My research interest is mainly analytic number theory, especially application of sieve theory to study of elliptic curves. In particular, my research has focused on discovering the distribution of certain invariants of reduced elliptic curve modulo primes. I am interested in the generalization of elliptic curve problems to abelian variety problems. Further, I am also interested in how the sieve method applies and give unconditional average results towards Artin's Primitive Root Conjecture. I would like to investigate further on this subject.

My E-mail: 707107@gmail.com