Partial differential equation, integration theory, computer mathematics
Algebraic geometry
Numerical Analysis
Medical image analysis, interpretable artificial intelligence
Differential Geometry
Number Theory, Representation Theory
Hyperbolic geometry, low-dimensional manifolds
Theoretical physics, quantum gravity, quantum field theory, holography duality.
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
Geometric Representation Theory
Birational geometry, singularity theory
String Theory, AdS holography, Non-Lorentzian holography, Hydrodynamics, Conformal Field Theory
Mathematical Physics. String Theory. Supersymmetric Quantum Field Theory. Geometric structures in superstring theory.
Resurgence theory, Chern-Simons theory and Knot theory, deformation quantization and modular forms
Probability theory, Random matrix theory
Finite groups, Representation theory
Vertex operator (super)algebras and their applications in modular forms, algebraic geometry, physics
Non-Lorentzian CFT, conformal bootstrap, AdS/CFT
Non-perturbative aspects of supersymmetric quantum field theories, generalized symmetries.
General Relativity Differential Equation Numerical Solution of Einstein Equation
Mathematical physics
Bridgeland stability condition, Frobenius manifold, Mirror symmetry
Nonparametric statistics, machine leaning
Inverse problems of Partial Differential Equations
Geometry analysis, optimal transportation theory
Geometric Analysis
Algebraic geometry, moduli space of Higgs bundles, Higgs-de Rham flow
Mathematical structure, supersymmetric gauge theories
Probability theory
Representation Theory
Applied Mathematics and Geophysics: Computational Statistics, Optimization Methods ,Seismic Inversion, Reservoir Parameters Prediction
Applied Mathematics
Algebraic Geometry
Mathematical physics, analysis of PDEs
Geometric representation theory
Algebraic Geometry: Birational Geometry