I am a Professorial Fellow at Keble College and leader of the ASC Complexity Cluster.
My main research areas lie in nonlinear partial differential equations, nonlinear analysis, and their applications/connections to mechanics, geometry, the other areas of mathematics and the other sciences. I am also interested in measure-theoretical analysis, weak convergence methods, stochastic partial differential equations, statistical physics, and numerical analysis.
Recent research interests include nonlinear conservation laws, nonlinear waves, nonlinear equations of mixed type, free boundary problems, and geometric problems.
I'm interested in:
Andrew Wiles Building,
Radcliffe Observatory Quarter