Wenyuan Li |
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Research | Notes | Teaching |
I am a (postdoctoral) Assistant Professor (RTPC) in Mathematics at University of Southern California. Here is my CV. I obtained my PhD degree at Northwestern University in Spring 2023 under the supervision of Professor Emmy Murphy and Professor Eric Zaslow. I obtained my Bachelor's degree at Peking University in China. Email: wenyuan.li at usc.edu Office: KAP 424A, USC. |
Research My research interest is symplectic and contact topology. Roughly speaking, symplectic geometry is the geometry of generalized phase spaces in Hamiltonian mechanics, encoding both the position and the momentum of the objects. The word 'symplectic' is borrowed from ancient Greek which means 'complex'. More specifically, my research interest is in algebraic and categorical invariants in symplectic and contact topology coming from microlocal sheaf theory, pseudo-holomorphic curves and generating families, with their connections to cluster algebras, mirror symmetry, noncommutative geometry and persistence modules. I am also interested in the flexibility side of symplectic and contact topology involving h-principles. |
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