I'm an assistant professor in the mathematics department at the University of Southern California. Previously, I was a Ritt Assisant Professor in the mathematics department at Columbia University, and an NSF postdoctoral research fellow and pure mathematics instructor at Columbia during 2017-2019 and at MIT during 2016-2017. During Fall 2021 I was a member at the Institute for Advanced Study. My work is partially supported by NSF grant DMS-2105578.
My background is mostly in symplectic geometry, a branch of mathematics lying somewhere at the intersection of smooth topology, differential geometry, algebraic geometry, and mathematical physics, with some input from string theory. I like to study the complicated algebraic structures arising from pseudoholomorphic curve invariants such as Floer theory and symplectic field theory, which are defined by counting maps from Riemann surfaces into a target space subject to a certain elliptic PDE. At the moment I am particularly interested in interactions between quantitative symplectic geometry (e.g. Hamiltonian flows in Euclidean space) and complex algebraic geometry (e.g. singular algebraic curves).