Categories

Statistical estimation, hypothesis testing, asymptotic theory, nonparametric statistics, high-dimensional inference.

Shannon theory, coding theory, entropy, mutual information, channel capacity.

Probability theory, stochastic processes, random matrices, concentration inequalities, large deviations.

Computational learning theory, statistical learning, PAC learning, online learning, information-theoretic limits.

Convex and non-convex optimization, combinatorial optimization, variational analysis, optimal control.

Enumerative, algebraic, extremal, and probabilistic combinatorics; graph theory.

Computational complexity, algorithms, cryptography, quantum computing, formal languages.

Real and complex analysis, functional analysis, harmonic analysis, partial differential equations.

Quantum field theory, statistical mechanics, general relativity, string theory (mathematical aspects).