Research Fields

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
  • Arithmetic Algebraic Geometry
  • Bioinformatics
  • Decision Making under Uncertainty
  • Complex Systems
  • Complex Network Theory
  • Financial Mathematics
  • Biostatistics and its Applications
  • Quantum Information and Quantum Control
  • Computational Materials Science
  • Knowledge Science
  • Mathematical Theory for Artificial Intelligence
  • Big Data Analysis
Applied Research Fields
  • Mathematical Problems in National Security
  • Mathematical Problems in National Economy
  • Mathematical Problems in Engineering Technology
  • Mathematical Problems in Biology and Ecology

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