Dynamical Systems

Faculty: URES Raul, HERTZ Jana, SALOMAO Pedro, Yiwei Zhang

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, Algebraic Number Theory, Algebraic Geometry

Faculty: ZELMANOV Efim, Qing Xiang, LI Caiheng, Vyacheslav Futorny, KASHUBA Iryna, QIU Yannan,Hui Gao, Ziqing

Research topics:
combinatorial mathematics, finite group theory, algebraic number theory, algebraic geometry

PDEs and Their Applications, Harmonic analysis

Faculty: SU Linlin, LIU Bochen, DONG Shijie, KOSSOVSKIY Ilya

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; harmonic analysis, geometric measure theory

Geometry and Topology

Faculty: GAROUFALIDIS Stavros, Ma Ziming, IRMER Ingrid, Wu Longting, ZHU Yifei, MA Man Shun

Research topics:
Differential geometry, differential topology, geometric topology, algebraic topology, mathematical physics and related fields

Computational and Applied Mathematics

Faculty: KURGANOV Alex, LI Jingzhi, Zhang Jin, ZHANG Zhen, WU Kailiang, YANG Jiang, ZHANG Wenlong, ZENG Shang

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

Faculty: XIONG Jie, SUN Jinglerui, LI Liying, WEN Jiaqiang, HONG Jieliang, YUAN Wangjun

Research topics:
applied probability, stochastic process and Markov process.

Financial Mathematics

Faculty: XIONG Jie, ZENG Pingping, GU Jiawen, LIU Zhihui, Zhang Yiying

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