
Main interests in mathematical modelling, partial differential equations and perturbation methods with applications in industrial mathematics, superconductivity, vortices, dislocations in elastic crystals, high-frequency acoustic and electromagnetic scattering, free-boundary problems, exponential asymptotics, extrusion of shear-thinning fluids, subcritical transition to turbulence, mathematical finance, asymptotic approximation of eigenvalues, developmental biology, mathematical physiology, tumour growth, nonlinear models of biological tissue.