Research interests: harmonic analysis and applications to engineering and computer science, particularly to statistical signal processing, and machine learning

Research interests: mathematical analysis of deterministic and stochastic PDEs arising in fluid mechanics and plasma physics

Research interests: asymptotic problems for stochastic partial differential equations, stochastic analysis, probabilistic techniques in the theory of PDEs

Research interests: nontrigonometric Fourier analysis; abstract harmonic analysis; integral, integro-differential, and pseudodifferential operators; numerical methods in Fourier analysis; computer aspects of numerical algorithms; communication

Research interests: harmonic analysis and its applications

Research interests: dynamics of the atmosphere and oceans, including data assimilation and scientific prediction, transport and mixing, and the variability of atmosphere and oceans

Research interests: Helmholtz equation, convected Hemlholtz equation, Maxwell equation - Trefftz-like methods, generalized plane waves, fast numerical methods, computations of harmonic vector fields, analysis of singularities, and the propagation of time-harmonic waves in variable media

Research interests: transport equations, mathematical models for biology, kinetic equations and many-particles systems

Research interests: hinetic equations, Hyperbolic systems, Boltzmann equations, hydrodynamic limits, damped-driven chaotic and stochastic systems, numerical schemes for PDEs

Research interests: biomedical applications of mathematics, specifically cancer dynamics, drug resistance, immunology, imaging and cell motility

Research interests: Analytical methods in PDEs, e.g., asymptotics and perturbations. Epitaxial growth, i.e., coupling of atomistic models to PDE theories; electrodynamics/plasmonics and hydrodynamics on anisotropic 2D materials such as black phosphorus and transition metal dichalcogenides; many-body quantum dynamics; quantum computing; scattering in field theories.

Research interests: calculus of variations, optimal transport, dynamics of PDEs

Research interests: mathematical theory and numerical methods for conservation laws, kinetic equations, collective dynamics and image processing

Research interests: nonlinear PDEs, the mathematics of fluids, multiphase flows, fluid-particle interaction, phase transitions, the dynamics of tumor growth, hyperbolic conservation laws, variational problems