Algebraic Geometry, Arithmetic Geometry
Number Theory, Langlands Program: Beyond Endoscopy
Probability theory, Random matrix theory
Quantum information and quantum computation
Differential geometry
Algebraic Geometry
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
Representation theory and quantum groups
Nonlinear analysis and PDEs