Algebraic Geometry, Arithmetic Geometry
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
Quantum information and quantum computation
Differential geometry
Mathematical optimization
Non-Lorentzian CFT, conformal bootstrap, AdS/CFT
Theoretical Physics, Mathematic Physics, Quantum Gravity
Non-perturbative aspects of supersymmetric quantum field theories, generalized symmetries.
