In 2018-2019 I will be a member at the Institute for Advanced Study; after that, I will be an Assistant Professor at the University of Georgia. I completed my PhD at Stanford in 2015; from 2015-2018 I was an NSF Postdoc at Columbia.
Broadly speaking, I am interested in the interplay between algebraic geometry and number theory (and, to a lesser extent, topology). Most of my work has focused on using arithmetic techniques to study classical questions about, for example, complex algebraic varieties. Currently, I am thinking primarily about arithmetic structures on fundamental groups of an algebraic variety, and the relationships between those structures and the geometry of the variety.
This website is largely a place to store my professional work; from time to time, I may also put some non-mathematical writing here.