PhD Advisors and Their Research Interests of Beijing International Center for Mathematical Research |
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No. |
Research Fields |
PhD Advisors of BICMR |
Research Interests |
Remarks |
070101 Fundamental Mathematics |
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1 |
Algebra |
Xiang Fu |
1. The distribution of roots
in the root systems of infinite reflection groups and Coxeter groups, and
related geometric questions. |
Co-advise with Ruochuan Liu |
2 |
1. Lie group and its
representation. |
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3 |
Jiping Zhang |
1. Finite Group and its
applications. |
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4 |
Number Theory |
1. Local-global
compatibility in p-adic Langlands program. |
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5 |
1. Mathematical problems and
methods related to Langlands program. |
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6 |
1. p-adic Hodge
theory. |
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7 |
1. p-adic Hodge theory. |
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8 |
1. Arakelov geometry. |
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9 |
Algebraic Geometry |
1. Arakelov geometry. |
Temporarily not accepting students |
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10 |
Rationally Connected Varieties. |
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11 |
Junyi Xie |
Arithmetic Dynamics and Related Topics in Algebraic Geometry |
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12 |
Birational Geometry: |
Temporarily not accepting students |
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13 |
1. Moduli spaces and
algebraic cycles. |
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14 |
Differential Geometry |
His current research is
focused on Differential Geometry and Mathematical Physics, including: |
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15 |
Jie Qing |
1. Conformal Geometry and
Differential Equation. |
Temporarily not accepting students |
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16 |
His current research is
focused on Geometric Analysis and Symplectic Geometry, including: |
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17 |
Mathematical Physics |
K-theory, index theory,
operator algebras, and differential geometry in: |
Co-advise with Xiaobo Liu |
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18 |
1. Sheaf-theoretic method in
symplectic geometry, Fukaya categories and Mirror Symmetry. |
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19 |
His current research is
focused on Differential Geometry and Mathematical Physics, including: |
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20 |
Emanuel Scheidegger |
1. Mirror symmetry of
Calabi-Yau manifolds, Gromow-Witten invariants. |
Co-advise with Xiaobo Liu |
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21 |
His current research is
focused on Geometric Analysis and Symplectic Geometry, including: |
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22 |
Xiaomeng Xu |
1. Irregular singularities and representation theory. 2. Poisson geometry and quantization. |
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23 |
Topology |
1. Topology of 3-manifolds. |
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24 |
Yi Xie |
1. Knots and links in 3-manifolds. 2. Gauge theory. |
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25 |
1. Non-positively curved
spaces and groups. |
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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. |
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28 |
1. Low regularity solution
for Chern-Simons-Schrodinger equation. |
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29 |
1. The mean field limit for
large systems of interacting particles. |
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30 |
1. Free boundary problems in
partial differential equations. |
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31 |
Weijun Xu |
1. Stochastic
Analysis. |
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32 |
1. Nonlinear wave
equations. |
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070102 Computational Mathematics |
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33 |
Computational Mathematics and Applied Mathematics |
1. Deep learning from
applied mathematics perspective. |
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34 |
1. Algorithms and theories
for non-convex, nonlinear and non-smooth optimization. |
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35 |
1. Numerical algorithms and
applications of rare events and its saddle-point problems. |
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36 |
1. Non-adiabatic phenomenon
in quantum mechanics and theoretical chemistry. |
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070103/071400 Probability and Statistics |
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37 |
Probability |
1. Stochastic theory of
nonequilibrium thermodynamics and statistical mechanics; |
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38 |
Discrete stochastic models
with significance in statistical physics, including: |
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39 |
1. Stochastic differential
equations. |
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40 |
Weijun Xu |
1. Stochastic
Analysis. |
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41 |
Statistics |
1. Clinical experiment
design and data statistics. |
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