Differential topology, algebraic topology, gauge theory, VLSI design automation
Geometric Analysis, including Harmonic maps, Harmonic functions on nonpositive curved manifold, etc.
Statistics: Reliability, Survival analysis, Gini index, Spatio-temporal data analysis
Permutation group, algebra combination theory, algebraic graph theory
Cryptography and information security, Algebraic combinatorics
Pattern recognition, image processing, medical image analysis and computer vision
Differentiable dynamical systems, topological dynamical systems and smooth ergodic theory
Optimization methods and their applications, Operations Research.
Algebraic Number Theory
Algebraic number theory
Mirror Symmetry and related topics
Second National Partial Differential Equations Doctoral Forum Held at Peking University2019-11-01
PKU Mathematics Delegation Visited Russia2019-10-10
Professor Li Ruo Gave an Invited Lecture at ICIAM 20192019-07-22
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