Faculty: LIU Bochen
Harmonic analysis, geometric measure theory
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: ZHANG Jiping, LI Caiheng, QIU Yannan, HU Yong, LI Zhan
combinatorial mathematics, finite group theory, algebraic number theory, algebraic geometry
PDEs and Their Applications
Faculty: SU Linlin
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, HUANG Shaochuang, IRMER Ingrid, LI Qin, ZHU Yifei
Differential geometry, differential topology, geometric topology, algebraic topology, mathematical physics and related fields
Faculty: TANG Tao, KURGANOV Alex, LI Jingzhi, WU Kailiang, 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
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.
Faculty: CHEN Anyue
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.