Professor at Department of Mathematics, Capital Normal University (首都师范大学数学系).
105 Xisanhuan Beilu, Haidian District, Beijing 100048, P. R. China.（北京市海淀区西三环北路105号，100048）
E-mail: sunsz AT cnu.edu.cn
I graduated from Chern Institute of Mathematics, Nankai University, Tianjin and got my PhD degree in 2001.
I spent two years from 2001 to 2003 at School of Mathematical Sciences, Peking University as postdoc.
Then I joined Capital Normal University in 2003 as a faculty member of Department of Mathematics.
Here is my CV (to be added).
My research interests lie at the crossroads of mathematics and physics, and I work on such topics as N-body problem in celestial mechanics, Fukaya category in symplectic topology, semiclassical trace formula and resurgence theory.
More precisely, I am interested in
Symplectic Geometry and Symplectic Topology: symmetry and symplectic reduction; Floer homologies and Fukaya categories; quiver varieties; cluster varieties; singularities from symplectic perspective; symplectic nature of moduli spaces (e.g. Hitchin moduli space); noncommutative symplectic/Poisson geometry; derived symplectic/Poisson geometry;
Hamiltonian Systems and Celestial Mechanics: Lagrangian Grassmannian and Maslov index; N-body problem (stability; central configurations; periodic orbits); Gutzwiller’s semiclassical trace formula and quantum chaos; (algebraic) completely integrable Hamiltonian systems (ACIS) and their interactions with geometry and physics
Mathematical Physics: higher structures (homological/homotopical algebras, higher categories,…) behind quantum mechanics and quantum field theory; quantization (semiclassical, deformation quantization, BV, brane quantization…); Feynman diagrams; modular objects; gauge theory;
Resurgence Theory and Mould Calculus à la Écalle with applications in mathematics (BCH, MZV, modularity…) and quantum physics (wall-crossing, Écalle-Voros exact WKB analysis, complex Chern-Simons theory, topological string theory…)
Autumn 2025
Calculus I (One variable)
Redeadng seminar on unbounded motions in NBP, microlocal analysis and derived symplectic geometry
Reading seminar: Les fonctions resurgentes, Ecalle (Tome I)
Working seminar: Resurgence theory applied to gauge theory and topological string theory
天体力学数学理论研讨会（系列，2019年始）
科普报告（2017年始）
讨论班报告
题目：GIT quotients and symmetric periodic orbits
摘要：This is joint work with Agustin Moreno and Dayung Koh. The restricted three-body problem is invariant under various antisymplectic involutions. These real structures give rise to the notion of symmetric periodic orbit which simultaneously have an open string interpretation as a Hamiltonian chord as well as a closed string interpretation as a periodic orbit. This makes the bifurcation analysis of symmetric periodic orbits very intriguing since under bifurcations two local Floer homologies are invariant, the periodic one as well as the Lagrangian one. In this talk I explain how methods from symmetric space theory can help to extract efficient datas from reduced monodromy matrices of periodic orbits helping to analyse the possible bifurcation patterns.
报告人：Urs Frauenfelder教授（德国奥格斯堡大学）
时地：2025年08月19日（周二）上午10:30-11:30，首都师范大学本部新教二楼613教室