I received my Ph.D. from UC-Irvine in June 2011 under the direction of Karl Rubin. My thesis was titled Selmer Ranks of Quadratic Twists of Elliptic Curves.
My primary research interest at the moment is the distribution of Selmer ranks of within quadratic twist families of elliptic curves, but I am in the process of branching out into questions relating to the Cohen-Lenstra heuristics.
Selmer ranks of quadratic twists of elliptic curves with partial rational two-torsion . Submitted
A family of elliptic curves with a lower bound on 2-Selmer ranks of quadratic twists. Submitted.
Go to UW-Madison Math home page.