My research is about the geometry of curves and how they can vary in family. I am especially interested in classical problems and wrote my thesis on the Schottky problem, which can be summarized as the question of what are the possible integrals around closed loops on Riemann surfaces. I am currently working on extending some of the tools that are useful in attacking such problems, including Prym varieties of covers of curves, maps defined by modular forms, and the geometry of moduli spaces.