Harmonic analysis

Faculty: LIU Bochen

Research topics:
Harmonic analysis, geometric measure theory

Dynamical Systems

Faculty: URES Raul, HERTZ Jana, 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,ZHANG Jiping，Qing Xiang, LI Caiheng, Vyacheslav Futorny，QIU Yannan,Hui Gao，Ziqing Xian

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

PDEs and Their Applications

Faculty: Li Dong, SU Linlin, LIU Bochen, DONG Shijie

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.

Geometry and Topology

Faculty: FANG Fuquan, GAROUFALIDIS Stavros, Ma Ziming,HUANG Shaochuang, IRMER Ingrid,Wu Longting, ZHU Yifei

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

Computational Mathematics

Faculty: TANG Tao, KURGANOV Alex, LI Jingzhi, WU Kailiang, YANG Jiang, Zhang Jin, ZHANG Wenlong, CUI Shumo

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.

Applied Mathematics

Faculty: WANG Xiaoming, ZHANG Zhen

Research topics:
Problems related to fluid dynamics, groundwater research and geophysical fluid dynamics; numerical PDEs, multiscale modeling and simulations of moving contact lines in multiphase flow, sparse representation of data and feature selection in high dimensions, optimization theories.

Probability

Faculty: Xiong Jie, Zhang Yiying, Wen Jiaqiang, Hong Jieliang

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

Financial Mathematics

Faculty: XIONG Jie, SUN Jingrui, ZENG Pingping, GU Jiawen,Liu Zhihui, Zhang Yiying, Wen Jiaqiang, Hong Jielia

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