No. 
Research Fields 
PhD Advisors of BICMR 
Research Interests 
Remarks 
070101 Fundamental Mathematics 

1 
Algebra 
Xiang Fu 
1. The
distribution of roots in the root systems of infinite reflection groups and
Coxeter groups, and related geometric questions. 
Coadvise with Ruochuan Liu 
2 
1. Lie group and
its representation. 


3 
Jiping Zhang 
1. Finite Group
and its applications. 


4 
Number Theory 
1. Localglobal
compatibility in padic Langlands program. 


5 
1. Mathematical
problems and methods related to Langlands program. 


6 
1. padic Hodge
theory. 


7 
1. padic Hodge
theory. 


8 
Algebraic Geometry 
1. Arakelov
geometry. 


9 
Rationally Connected Varieties. 


10 
Birational
Geometry: 
Temporarily not accepting students 

11 
1. Moduli spaces
and algebraic cycles. 


12 
Differential Geometry 
Jian Ge 
1. Alexandrov
Geometry. 

13 
His current research
is focused on Differential Geometry and Mathematical Physics, including: 


14 
Jie Qing 
1. Conformal
Geometry and Differential Equation. 
Temporarily not accepting students 

15 
His current
research is focused on Geometric Analysis and Symplectic Geometry, including: 


16 
Mathematical Physics 
1.
Sheaftheoretic method in symplectic geometry, Fukaya categories and Mirror
Symmetry. 


17 
His current
research is focused on Differential Geometry and Mathematical Physics,
including: 


18 
Emanuel Scheidegger 
1. Mirror
symmetry of CalabiYau manifolds, GromowWitten invariants. 
Coadvise with Xiaobo Liu 

19 
His current
research is focused on Geometric Analysis and Symplectic Geometry, including: 


20 
Xiaomeng Xu 
1. Irregular singularities and representation theory. 2. Poisson geometry and quantization. 


21 
Topology 
1. Topology of
3manifolds. 


22 
Yi Xie 
1. Knots and links in 3manifolds. 2. Gauge theory. 


23 
1.
Nonpositively curved spaces and groups. 


24 
PDE/Analysis 
Yan Guo 
1. Partial
Differential Equations in kinetic theory. 
Temporarily not accepting students 
25 
1. Dynamical systems.
2. Metric
geometry. 


26 
1. Low
regularity solution for ChernSimonsSchrodinger equation. 


27 
1. Nonlinear
wave equations. 


070102 Computational Mathematics 

28 
Computational Mathematics and Applied Mathematics 
1. Deep learning
from applied mathematics perspective. 


29 
1. Algorithms
and theories for nonconvex, nonlinear and nonsmooth optimization. 


30 
1. Numerical
algorithms and applications of rare events and its saddlepoint problems. 


31 
1. Nonadiabatic
phenomenon in quantum mechanics and theoretical chemistry. 


070103/071400 Probability and Statistics 

32 
Probability 
1. Stochastic
theory of nonequilibrium thermodynamics and statistical mechanics: 


33 
Discrete
stochastic models with significance in statistical physics, including: 


34 
Statistics 
1. Clinical
experiment design and data statistics. 
