Yefeng Shen

Last Update 2022/11/21
My research area is geometry and mathematics related to string theory. More precisely, I am interested in mathematical theories related to N = (2, 2) supersymmetric quantum field theory. Mathematically, GromovWitten invariants virtually count stable (or orbifold stable) maps to projective varieties and symplectic manifolds (or symplectic orbifolds). It gives a description for the nonlinear sigma model. FanJarvisRuanWitten invariants virtually count solutions of Witten equations and can be viewed as a mathematical description for LandauGinzburg model of quasihomogeneous hypersurface singularities. Currently, my works focus on GromovWitten theory, FanJarvisRuanWitten theory and global mirror symmetry in a broad sense, including topics such as LandauGinzburg/CalabiYau correspondence, integrable hierarchies and numbertheoretic aspect of GromovWitten theory.
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