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.
I work in symplectic geometry, a branch of mathematics lying somewhere at the intersection of smooth topology, differential geometry, algebraic geometry, and mathematical physics. I like to study the complicated algebraic gadgets arising in Floer theory and symplectic field theory and apply them to classification problems in symplectic geometry or try to say new things about Hamiltonian dynamical systems. These invariants also have some rather intruiging connections to things like string theory and algebraic geometry, which means there are lots of surprises in store.