PhD Advisors and Their Research Interests of Beijing International Center for Mathematical Research 

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 
1. Arakelov geometry. 


9 
Algebraic Geometry 
1. Arakelov geometry. 
Temporarily not accepting students 

10 
Rationally Connected Varieties. 


11 
Junyi Xie 
Arithmetic Dynamics and Related Topics in Algebraic Geometry 


12 
Birational Geometry: 
Temporarily not accepting students 

13 
1. Moduli spaces and
algebraic cycles. 


14 
Differential Geometry 
His current research is
focused on Differential Geometry and Mathematical Physics, including: 


15 
Jie Qing 
1. Conformal Geometry and
Differential Equation. 
Temporarily not accepting students 

16 
His current research is
focused on Geometric Analysis and Symplectic Geometry, including: 


17 
Mathematical Physics 
Ktheory, index theory,
operator algebras, and differential geometry in: 
Coadvise with Xiaobo Liu 

18 
1. Sheaftheoretic method in
symplectic geometry, Fukaya categories and Mirror Symmetry. 


19 
His current research is
focused on Differential Geometry and Mathematical Physics, including: 


20 
Emanuel Scheidegger 
1. Mirror symmetry of
CalabiYau manifolds, GromowWitten invariants. 
Coadvise with Xiaobo Liu 

21 
His current research is
focused on Geometric Analysis and Symplectic Geometry, including: 


22 
Xiaomeng Xu 
1. Irregular singularities and representation theory. 2. Poisson geometry and quantization. 


23 
Topology 
1. Topology of 3manifolds. 


24 
Yi Xie 
1. Knots and links in 3manifolds. 2. Gauge theory. 


25 
1. Nonpositively curved
spaces and groups. 


26 
PDE/Analysis 
Yan Guo 
1. Partial Differential
Equations in kinetic theory. 
Temporarily not accepting students 
27 
1. Dynamical systems. 2. Metric geometry. 3. Complex analysis. 


28 
1. Low regularity solution
for ChernSimonsSchrodinger equation. 


29 
1. The mean field limit for
large systems of interacting particles. 


30 
1. Free boundary problems in
partial differential equations. 


31 
Weijun Xu 
1. Stochastic
Analysis. 


32 
1. Nonlinear wave
equations. 


070102 Computational Mathematics 

33 
Computational Mathematics and Applied Mathematics 
1. Deep learning from
applied mathematics perspective. 


34 
1. Algorithms and theories
for nonconvex, nonlinear and nonsmooth optimization. 


35 
1. Numerical algorithms and
applications of rare events and its saddlepoint problems. 


36 
1. Nonadiabatic phenomenon
in quantum mechanics and theoretical chemistry. 


070103/071400 Probability and Statistics 

37 
Probability 
1. Stochastic theory of
nonequilibrium thermodynamics and statistical mechanics; 


38 
Discrete stochastic models
with significance in statistical physics, including: 


39 
1. Stochastic differential
equations. 


40 
Weijun Xu 
1. Stochastic
Analysis. 


41 
Statistics 
1. Clinical experiment
design and data statistics. 
