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.
Algebraic Combinatorial Mathematics, Finite Group Theory, Algebraic Number Theory, Algebraic Geometry
Faculty：LI Caiheng , HU Yong , ZHU Yifei
combinatorial mathematics, finite group theory, algebraic number theory, algebraic geometry
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：XIONG Jie, CHEN Anyue, CAO Min, TIAN Guoliang, JIANG Xuejun, OUYANG Shunxiang
applied probability, stochastic process, Markov process, nonparametric statistics, biostatistics, social statistics and statistical computation, quantile regression, model selection and Bayesian applications.
Faculty：WANG Duo, JIANG Xuejun, ZENG Pingping, GU Jiawen
financial dynamics, statistical finance, quantitative finance, pricing of financial derivatives, computational finance, and actuarial theory.