Warning: Under construction, better grab a hard hat.

Amitai Zernik

Amitai Zernik

Einstein Institute of Mathematics
Hebrew University, Givat Ram
Jerusalem, 91904, Israel


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.


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