Multiscale nonlinear wave phenomena in physical systems, including fluid dynamics, geophysical systems, condensed matter, superfluids, and nonlinear optics; modulation theory of nonlinear waves including multiphase and multidimensional waves; dispersive hydrodynamics, dispersive shock waves, solitons, solitary waves, and singular limits of nonlinear PDE; dispersive hydrodynamic-type laboratory experiments in fluid dynamics; methods of applied mathematics including perturbation theory, singular asymptotics, scientific computing, and mathematical modeling
