Research strengths/disciplines of the Department include: (1) Applied Analysis: approximation theory, asymptotic analysis, harmonic analysis, inverse problems, kinetic theory, learning theory, partial differential equations, random matrix theory, and special functions; (2) Computational Mathematics: complexity theory, computational electromagnetics, image processing, numerical analysis, numerical linear algebra, and scientific computing; (3) Mathematical Modelling: control and system theory, fluid mechanics, general relativity, granular materials, mathematical biology, mathematical elasticity, mathematical finance, mathematical modelling of waves, and mathematics of new materials; (4) Probability and Statistics: Bayesian statistics, high dimensional data analysis, mean field games, probability theory, statistical learning theory, stochastic analysis, stochastic controls, and stochastic processes.