Research Fields----Academy of Mathematics and Systems Science

Major Research Fields

Number Theory, Algebra, Geometry and Topology: Langlands program, the BSD conjecture, automorphic representation of classical groups, Algebraic topology
Analysis and Mathematical Physics: the Navier-Stokes equation, the Euler equation, the extension problem in complex geometry, the hyperbolic conjecture, the MLC conjecture from complex dynamical systems
Probability and Statistics: infinite dimensional stochastic analysis, stochastic partial differential equations, statistical analysis of complicated data
Scientific Computing: multi-scale computation, high-speed algorithms of large-scale non-linear problems
Operational Research and Management Sciences: sparse optimization and uncertain quantification, mathematical modeling and analysis of complex economic and financial systems
Systems and Control: analysis and control of multi-agent and uncertain and multi-agent systems, Complex network, self-adaptive control
Computer Mathematics: Symbolic Computation and Automated Reasoning, Coding and Cryptography, Artificial Intelligence Theory, Quantum Algorithm

Interdisciplinary Research Fields

Applied Research Fields