Warning: Under construction, better grab a hard hat.
Einstein Institute of Mathematics
I'm a graduate student on my final year. Jake Solomon is my adviser.
My research is about finding fixed-point expressions for open Gromov-Witten theory. Gromov-Witten theory studies a symplectic manifold by considering (pseudo)holomorphic maps of Riemann surfaces into it. Open Gromov-Witten theory extends this idea to the study of Lagrangian submanifolds, by looking at maps from a Riemann surface with boundary to the symplectic manifold such that the boundary is required to map to the Lagrangian. When there's a group acting on the symplectic manifold, one can learn a lot about Gromov-Witten theory just from what happens near the fixed points of the action. What about open Gromov-Witten theory?The short answer is: sometimes, you can learn a lot from the fixed points.