I am interested in arithmetic geometry and algebraic number theory. As a PhD student, I studied abelian varieties under the supervision of Yuri Zarhin. More specifically, my thesis project concerned Jacobians of hyperelliptic curves defined over certain fields, and how the absolute Galois group acts on their points of prime power order. This has implications concerning the size of the endomorphism rings of such Jacobians. I am particularly interested in how results proven topologically for coverings of Riemann surfaces can be used to obtain arithmetic results in a purely algebraic setting.