Mathematical Physics
Industrial Data Management, Applied Probability, Machine Learning Theory, Control Theory
Geometric Representation Theory
Mathematical Physics, Integrability in Gauge and String theories
Homogenous Dynamics, Diophantine Approximation, Translation Surfaces
Automorphic Representations
Theoretical Physics, Mathematic Physics, Quantum Gravity, Gauge/Gravity Duality and Quantum Entanglement.
High-dimensional data analysis, cluster analysis, distributed learning and mediation analysis
Automorphic forms
Medical image analysis, interpretable artificial intelligence
Geometry, topology, hyperbolic geometry
Causal inference, semiparametric model, model averaging, model selection
Scientific machine learning, preconditioning, wave propagation
Differential Geometry and Complex Analysis
Four-dimensional supersymmetric gauge theories with boundaries, string theoretic construction of gauge theories
Algebraic and Enumerative Combinatorics
String theory, AdS/CFT correspondence, Black hole microstates, Flat-space holography.
Applied Mathematics
Calabi-Yau Manifolds, Topological String Theory, Arithmetic Geometry of Calabi-Yau n-folds
Application of singularity theory to nonlinear algebra
Algebraic Geometry, Algebraic Stacks and Foliations
Theoretical Physics. Black holes. Holography. AdS/CFT correspondence.
Model Averaging; machine learning
Mathematical Analysis, Discrete Mathematics
Theoretical physics, quantum gravity, quantum field theory, holography duality.
Spectral geometry
High energy physics, string theory, gauge/gravity duality
Uniform inference in nonparametric estimation, high-dimensional model diagnostic
Several complex variables and complex geometry
Algebraic and geometric topology
Mathematical physic equations and wave scattering theory
Teichmüller theory, hyperbolic surfaces
Birational geometry
Quantum information theory and Topological quantum field theory
Algebraic Geometry, Arithmetic Geometry
Probability theory, Random matrix theory
Quantum information and quantum computation
Differential geometry
Algebraic Geometry
Mathematical optimization
Extremal Graph Theory and Spectral Graph Theory
Algebraic Geometry, Hodge Theory, Shimura Varieties
Hodge Theory
Geometric analysis and partial differential equations on discrete graphs
Birational Geometry
Theoretical Physics, Mathematic Physics, Quantum Gravity
Automorphic Forms
Commutative algebra
拓扑材料中的分析与计算
Low-dimensional topology
Bridgeland stability condition, Frobenius manifold, Mirror symmetry
Quantum gravity, topological quantum field theory, related quantum groups
Compactification of moduli spaces, K-stability, non-Archimedean geometry, geometric invariant theory, computational algebraic geometry and the classification of Fano varieties
Higher dimensional Algebraic Geometry, Birational Geometry and Minimal model program, Foliations
Several Complex Variables and Complex Geometry
Algebraic geometry, integrable systems, representation theory
Symplectic Geometry and Categorical Homotopy Theory
Quantum algebra, subfactor theory and topological quantum field theory.
Number Theory
String Theory, Supersymmetric Field Theory, Topological Field Theory, Vertex Operator Algebra, 3d-3d Correspondence
Image processing
Nonlinear Partial Differential Equations, Blow-up Dynamics, Shock Formation for Nonlinear Wave Equations.
Geometric measure theory, optimal transportation
Geometric group theory
Analytic number theory
Supersymmetric gauge theories
Algebraic geometry
Quantum information theory
Algebraic number theory and arithmetic algebraic geometry
Mathematical physics, analysis of PDEs
Kaehler geometry
Geometric Analysis and Partical Differential Equations
Machine Learning and High-dimensional Statistics
Discrete Geometry
Geometric representation theory
p-adic automorphic forms, eigenvarieties and Shimura varieties
Arakelov Geometry, Arithmetic Geometry, Shimura Varieties, Unlikely Intersections
Enumerative Geometry, Mathematical Physics, Mirror Symmetry, Algebraic Geometry
