Algebraic Geometry, Arithmetic Geometry
Probability theory, Random matrix theory
Quantum information and quantum computation
Differential geometry
Algebraic Geometry
Mathematical optimization
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
Theoretical Physics, Mathematic Physics, Quantum Gravity