Harmonic analysis
Faculty: LIU Bochen
Research topics:
Harmonic analysis, geometric measure theory
Dynamical Systems
Faculty: 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.
Algebraic Combinatorial Mathematics, Algebraic Number Theory, Algebraic Geometry
Faculty: ZHANG Jiping, LI Caiheng, QIU Yannan, HU Yong, LI Zhan
Research topics:
combinatorial mathematics, finite group theory, algebraic number theory, algebraic geometry
PDEs and Their Applications
Faculty: SU Linlin
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, HUANG Shaochuang, IRMER Ingrid, LI Qin, 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
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, ZHANG Jin
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: CHEN Anyue
Research topics:
applied probability, stochastic process and Markov process.
Financial Mathematics
Faculty: XIONG Jie, SUN Jingrui, ZENG Pingping, GU Jiawen
Research topics:
financial dynamics, statistical finance, quantitative finance, pricing of financial derivatives, computational finance, and actuarial theory.