Faculty: 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, Algebraic Number Theory, Algebraic Geometry
Faculty: LI Caiheng, QIU Yannan, HU Yong, LI Zhan
combinatorial mathematics, finite group theory, algebraic number theory, algebraic geometry
PDEs and Their Applications
Faculty: WANG Xuefeng, SU Linlin, 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.
Mathematical Physics and Topological Geometry
Faculty: HOU Yong, LI Qin, ZHU Yifei, YANG Liuqing
Batalin-Vilkovisky quantization in field theory and its applications in geometry and topology, differential geometry.
Faculty: TANG Tao, KURGANOV Alex, HE Bingsheng, LI Jingzhi, 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.
Faculty: WANG Xiaoming, ZHANG Zhen, ZHANG Jin
Faculty: CHEN Anyue, CAO Min, TIAN Guoliang, YANG Lili, CHEN Xin, JIANG Xuejun
applied probability, stochastic process and Markov process.
Faculty: XIONG Jie, SUN Jingrui, ZENG Pingping, GU Jiawen
financial dynamics, statistical finance, quantitative finance, pricing of financial derivatives, computational finance, and actuarial theory.