I am a professor of mathematics at University College London. I moved here from Edinburgh in January 2013.
My research interests have evolved over the years. I've always been interested in mathematical physics, but nowadays I'm essentially a differential geometer who works on problems some of which come from mathematical physics. You can find out more about what I'm up to at the moment on my research pages. The techniques I use combine geometrical insights with tools from microlocal analysis and manifolds with corners.
If one thing characterises almost all my current work, it is the presence of small parameters in my geometric problems. It is common in applied mathematics to solve problems using asymptotic methods, generating expansions in one or more small parameters. It is perhaps less common to acknowledge small parameters as a unifying theme in geometry, though many of the problems and ideas have been around for a long time.