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Symplectic topology is at the crossroads of several mathematical disciplines such as low-dimensional topology, algebraic geometry, representation theory, Hamiltonian dynamics, integrable systems, mirror symmetry, and string theory. It comes with a surprising mixture of both rigid and flexible behavior. Current research areas of the symplectic topology group at Stanford include moduli spaces of holomorphic curves and their behavior under surgeries, Symplectic Field Theory and its relative versions, the theory of quasi-states and quasi-morphisms, as well as existence and flexibility results for Stein structures, Weinstein manifolds, and contact structures in higher dimensions.

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Symplectic Geometry

Student Symplectic

Eliashberg, Yakov
Herald L. and Caroline L. Ritch Professor of Mathematics
383-S

Yakov Eliashberg

Herald L. and Caroline L. Ritch Professor of Mathematics
Stanford University
Mathematics

Office: 383-S

Address:
450 Serra Mall
Building 380
Stanford, CA 94305-2125

Phone: (650) 723-4073
Email:
Research Interests Symplectic Geometry Topology Several Complex Variables

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Ionel, Eleny
Professor and Chair
383-L

Eleny Ionel

Professor and Chair
Stanford University
Mathematics

Office: 383-L

Address:
450 Serra Mall
Building 380
Stanford, CA 94305-2125

Phone: (650) 723-2228
Email:
Website: http://math.stanford.edu/~ionel/
Research Interests: Symplectic topology Differential topology

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