Algebra, Number Theory, and Cryptography
Algebraic geometry, Arithmetic geometry, Lie theory, Representation theory, Categorification, Algebraic number theory, Iwasawa theory, cryptography, P-adic groups, Quantum groups, Cryptology, Cryptanalysis.
Professors in Algebra, Number Theory, and Cryptography
Analysis, Operator Theory, and Probability
Functional analysis, Operator algebras, Topology, Calculus of variations, Optimal control, Stochastic processes, Differential geometry, Geometric mechanics, MCMC methods, Limit theorems, Stochastic partial differential equations, Ergodic theory, Contact geometry.
Professors in Analysis, Operator Theory, and Probability
Combinatorics, Logic, and Quantum Theory
Graph theory, Category theory, Algebraic topology, Homotopy theory, Quantum information theory, Quantum computing, Post-quantum cryptography, Matroids, Foundations of mathematics, Computability, Topological quantum field theory.
Professors in Combinatorics, Logic, and Quantum Theory
Data Science, Machine Learning, and Artificial Intelligence
Deep learning, Image registration, Topological data analysis, Statistical learning.
Professors in Data Science, Machine Learning, and Artificial Intelligence
Differential Equations, Scientific Computing, and Biomathematics
Ordinary and partial differential equations, Dynamical systems, Optimization, Modelling in life sciences, Adaptive algorithms, Geometric mechanics, Numerical methods and approximation, Computational chemistry, Stochastic optimal control, Monte Carlo simulation.
Professors in Differential Equations, Scientific Computing, and Biomathematics
Statistics and Biostatistics
Analysis of longitudinal data and growth curves, Big data analytics, Evidence synthesis methods, Multivariate methods and high-dimensional extensions, Nonparametric Bayesian statistics, Nonparametric statistics, Statistical genetics, Statistical learning, Survey sampling, Time series analysis, Derivative pricing, Financial econometrics.
Professors in Statistics and Biostatistics