Alumnae and Alumni

Yefeng Shen
Position
Project Researcher (from 2013/06/01 to 2014/08/31)
Current Affiliation
Department of Mathematics , University of Oregon
Assistant Professor

URL
https://math.uoregon.edu/profile/yfshen
PHOTO

Last Update 2018/09/18

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, Gromov-Witten invariants virtually count stable (or orbifold stable) maps to projective varieties and symplectic manifolds (or symplectic orbifolds). It gives a description for the non-linear sigma model. Fan-Jarvis-Ruan-Witten invariants virtually count solutions of Witten equations and can be viewed as a mathematical description for Landau-Ginzburg model of quasi-homogeneous hypersurface singularities. Currently, my works focus on Gromov-Witten theory, Fan-Jarvis-Ruan-Witten theory and global mirror symmetry in a broad sense, including topics such as Landau-Ginzburg/Calabi-Yau correspondence, integrable hierarchies and number-theoretic aspect of Gromov-Witten theory.


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