Design and analysis of experiments, Computer experiments, High-dimensional data analysis, Applied statistics and probability
Lie Theory, Dynamics of Group Actions
Three dimensional geometric topology, knot invariants, geometric group theory
Mathematics: Nonlinear Analysis, Geometric Analysis, Partial Differential Equations, Discrete Mathematics
Discrete-time Markov chains in particular, interacting particle systems, random walk on trees and in a random environment, percolation.
Mathematical finance, asset pricing, market microstructure models
Differential geometry, Mathematical physics
Bioinformatics, Computational Biology, Biostatistics
Contact topology; low dimensional topology
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
PKU Math Alumni Chi Li, Gang Liu, Yifeng Liu won 2017 Sloan Research Fellowship2017-07-10
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