I am a currently an NSF postdoctoral fellow at McGill University in Montreal. From 2016-18 I was a member at the Institute for Advanced Study in Princeton. I completed my PhD in 2016 at Penn State, under the supervision of Winnie Li.
I am interested in all aspects of arithmetic geometry, Galois theory, and number theory.
In my thesis, I showed that all noncongruence subgroups of SL(2,Z) admit moduli interpretations classifying elliptic curves equipped with nonabelian level structures. In particular, the arithmetic of noncongruence modular curves and modular forms is governed by the anabelian side of elliptic curves.
Currently, I am pursuing a number of projects aimed at further understanding this relationship.