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…)
Spring 2026
Calculus I (One variable)
Granduate course: Classical Mechanics and Celestial Mechanics
Reading seminar: Gutzwiller’s classic “Chaos in classical and quantum mechanics”
Working seminar: wild character variety, spectral network, Fukaya category, microlocal sheaf, and resurgence
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：Metric geometry on Grothendieck groups in symplectic geometry
摘要：In this talk, we will investigate quantitative studies on the Grothendieck group of a derived Fukaya category. This fits into a bigger algebraic framework called triangulated persistence category (TPC). This category unites the persistence module structure (from topological data analysis) and the classical triangulated structure so that a meaningful measurement, via cone decomposition, can be defined on the set of objects. In particular, a TPC structure allows us to define non-trivial pseudo-metrics on its Grothendieck group, which is the first time that people can study a Grothendieck group in terms of the metric geometry. Finally, we will illustrate how to use this method to distinguish classes from the Grothendieck group (of a derived Fukaya category) from a quantitative perspective. This is based on joint work with Paul Biran and Octav Cornea.
报告人：张俊（中国科技大学）
时地：2026年5月18日（周一）上午10:30-11:30，首都师范大学本部新教二楼510教室