Mathematical Physics
Geometric Representation Theory
Mathematical Physics, Integrability in Gauge and String theories
Homogenous Dynamics, Diophantine Approximation, Translation Surfaces
Numerical Analysis
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
Four-dimensional supersymmetric gauge theories with boundaries, string theoretic construction of gauge theories
Algebraic and Enumerative Combinatorics
Differential Geometry
Black hole microstates construction, Dynamics of black hole microstates, Flat-space limit of AdS/CFT, Celestial holography, Gravity from averaging CFTs.
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
Recurrence and Large deviations of once-reinforced random walks; Negative correlation and the existence of infinite cluster of Arboreal Gas.
Teichmüller theory, hyperbolic surfaces
Birational geometry
Birational geometry, singularity theory
Quantum information theory and Topological quantum field theory
Spectral Graph Theory, Algebraic Graph Theory
String Theory, AdS holography, Non-Lorentzian holography, Hydrodynamics, Conformal Field Theory
Low dimensional topology, knot and link theory, TQFTs, classical and quantum invariants of links
Algebraic Geometry, Arithmetic Geometry
Mathematical Physics. String Theory. Supersymmetric Quantum Field Theory. Geometric structures in superstring theory.
Probability theory, Random matrix theory
Finite groups, Representation theory
Quantum information and quantum computation
Differential geometry
Algebraic Geometry
Mathematical optimization
Hodge Theory
Non-Lorentzian CFT, conformal bootstrap, AdS/CFT
Birational Geometry
Theoretical Physics, Mathematic Physics, Quantum Gravity
General Relativity Differential Equation Numerical Solution of Einstein Equation
Commutative algebra
Low-dimensional topology
Bridgeland stability condition, Frobenius manifold, Mirror symmetry
Compactification of moduli spaces, K-stability, non-Archimedean geometry, geometric invariant theory, computational algebraic geometry and the classification of Fano varieties
Nonparametric statistics, machine leaning
Several Complex Variables and Complex Geometry
Number Theory
Inverse problems of Partial Differential Equations
String Theory, Supersymmetric Field Theory, Topological Field Theory, Vertex Operator Algebra, 3d-3d Correspondence
Vertex (operator) Algebra
Geometric measure theory, optimal transportation
Geometric Analysis
Algebraic geometry, moduli space of Higgs bundles, Higgs-de Rham flow
Mathematical structure, supersymmetric gauge theories
Representation Theory
Geometric group theory
Supersymmetric gauge theories
Applied Mathematics and Geophysics: Computational Statistics, Optimization Methods ,Seismic Inversion, Reservoir Parameters Prediction
Algebraic geometry
Quantum information theory
Mathematical physics, analysis of PDEs
Kaehler geometry
Discrete Geometry
Geometric representation theory
Arakelov Geometry, Arithmetic Geometry, Shimura Varieties, Unlikely Intersections
Enumerative Geometry, Mathematical Physics, Mirror Symmetry, Algebraic Geometry
