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.

Algebra, Number Theory, Combinatorics, Group Theory, Algebraic Geometry, Geometric Group Theory

Faculty：LI Caiheng, LI Zhan, HOU Yong, HU Yong, QIU Yannan, ZHU Yifei

Research topics:

combinatorics, group theory, number theory, algebraic geometry, geometric group theory, etc.

PDEs and Their Applications

Faculty：WANG Xuefeng, SU Linlin, 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, WANG Xiaoming, 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

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：GU Jiawen, JIANG Xuejun, XIONG Jie, ZENG Pingping

Research topics:

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