Glasstone Research Fellow in Science
+44 1865 611513
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Much of my general research interests lie in applications of mathematics and the analysis of nonlinear differential equations, and involve using and extending tools from applied and computational analysis, such as approximation theory, asymptotic, homotopy, and perturbation methods, and numerical techniques for solving nonlinear PDEs and dynamical systems. I apply these techniques to an assortment of problems in fluid dynamics (vortex dynamics, bubbles, boundary layer flows), nonlinear dynamics (instability, chaos, and turbulence), integrable systems, nonlinear waves, mathematical physics and foundations of physics, biology and ecology, game theory and mathematical economics, mathematical chemistry (including fluid-solid or fluid-particle interactions, solidification, and multiphase flows), and miscellaneous problems in engineering and industrial mathematics. I occasionally work in more pure mathematical areas for fun, and prior interests have included mathematical analysis, elementary number theory, and combinatorics.