Dynamical Systems

Faculty：XIA Zhihong, URES Raul, HERTZ Jana

Research topics:

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

Research topics:

combinatorial mathematics, finite group theory, algebraic number theory, algebraic geometry

PDEs and Their Applications

Faculty：WANG Xuefeng, SU Linlin, CHEN Jun, WANG Yong

Research topics:

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

Research topics:

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

Research topics:

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

Research topics:

applied probability, stochastic process, Markov process, nonparametric statistics, biostatistics, social statistics and statistical computation, quantile regression, model selection and Bayesian applications.

Financial Mathematics

Faculty：WANG Duo, JIANG Xuejun, ZENG Pingping, GU Jiawen

Research topics:

financial dynamics, statistical finance, quantitative finance, pricing of financial derivatives, computational finance, and actuarial theory.