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
Non-Lorentzian CFT, conformal bootstrap, AdS/CFT
Theoretical Physics, Mathematic Physics, Quantum Gravity
Non-perturbative aspects of supersymmetric quantum field theories, generalized symmetries.
