Wenyuan Li

Summary Statement of Research Interests

My research interest is in symplectic and contact topology and microlocal sheaf theory. More specifically, I study cohomological and categorical invariants of Lagrangian and Legendrian submanifolds in symplectic and contact manifolds that come from microlocal theory of sheaves, generating functions and Floer theory. I am also interested in the connections between the symplectic/contact invariants and cluster algebras, mirror symmetry, noncommutative geometry and persistence modules.