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Contact and symplectic topology

Akram Alishahi, Hülya Argüz, David Gay, Peter Lambert-Cole, Gordana Matic and Mike Usher. Symplectic and contact structures first arose from classical mechanics, and since then symplectic and contact topology has become a central area of research in low-dimensional topology. It is also connected to algebraic geometry, representation theory, Hamiltonian dynamics, mirror symmetry, and string theory. Our group actively works on connections with trisections, Floer theoretic invariants and algebraic geometry.