- Algebraic Numbers
- Number Theory
- Analytic Number Theory
- Computational Number Theory
- Algebraic Number Theory
- Algebraic Geometry
- Arithmetic Geometry
- Algebraic Topology
- Differential Topology
- Moduli Spaces
- Representation Theory
- Geometric and Combinatorial Group Theory
- Harmonic Analysis
- An operator is a function that takes a function and returns a transformed function.
- Partial Differential Equations
- General Relativity & The Einstein Equations
- Dynamics
- Operator Algebra
- Mirror Symmetry
- Vertex Operator Algebra
- Enumerative & Algebraic Combinatorics
- Extremal & Probabilistic Combinatorics
- Computational Complexity
- Numerical Analysis
- Set Theory
- Logic & Model Theory
- Stochastic Processes
- Probabilistic Models of critical phenomena
- High Dimensional Geometry & its probabilistic Analogues
References
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