Faculty：XIA Zhihong, URES Raul, HERTZ Jana
Hamiltonian systems, including instability, transition property and ergodic property，symplectic geometry and topology, index theory and its applications to stability of dynamic systems，many body problems in celestial mechanics, chaos, and fundamental theory of dark matters.
Algebra, Number Theory, Combinatorics, Group Theory, Algebraic Geometry, Geometric Group Theory
Faculty：LI Caiheng, LI Zhan, HOU Yong, HU Yong, QIU Yannan, ZHU Yifei
combinatorics, group theory, number theory, algebraic geometry, geometric group theory, etc.
PDEs and Their Applications
Faculty：WANG Xuefeng, SU Linlin, CHEN Jun, WANG Yong
Qualitative analysis of elliptic and parabolic equations，globalbifurcation theory， eigenvalue problems， reaction-diffusion equations in biology, especially population genetics and ecology, pattern formation, conservation laws, fluid equations.
Differential Geometry and Mathematical Physics
Faculty：LI Qin, YANG Liuqing
Batalin-Vilkovisky quantization in field theory and its applications in geometry and topology, differential geometry.
Computational and Applied Mathematics
Faculty：TANG Tao, KURGANOV Alex, HE Bingsheng, LI Jingzhi, ZHANG Zhen, YANG Jiang
numerical partial differential equations including conservation laws, high resolution and self-adaptive methods, central-upwind schemes, computational fluid dynamics, numerical optimization, data assimilation, inverse problems, computational finance.
Probability and Statistics
Faculty：CAO Min, CHEN Anyue, JIANG Xuejun, OUYANG Shunxiang, TIAN Guoliang, YANG Lili
applied probability, stochastic process, Markov process, nonparametric statistics, biostatistics, social statistics and statistical computation, quantile regression, model selection and Bayesian applications.
Faculty：GU Jiawen, JIANG Xuejun, XIONG Jie, ZENG Pingping
financial dynamics, statistical finance, quantitative finance, pricing of financial derivatives, computational finance, and actuarial theory.