My main research interests are mathematical modeling in dynamic fracture mechanics, fluid dynamics (supercavitating flow), and scattering of sound and electromagnetic waves. I am particularly interested in the development of exact and approximate methods for the vector Riemann-Hilbert boundary-value problem, difference equations with variable coefficients, singular integral equations, and applications of the theory of automorphic functions and Riemann surfaces to model problems in applied mechanics and nonlinear physics.
