My area of research expertise can be broadly characterised as the analysis of partial differential equations (PDEs) and spectral theory. This covers a wide range of research topics from the very applied (elasticity, shell theory, hydroelasticity, trapped modes) to the very pure (microlocal analysis, symplectic geometry, Tauberian theorems, fractal drums).
I am currently interested in the study of systems of PDEs (elliptic or hyperbolic) on manifolds. My interest is fuelled by the observation that the study of such problems leads to a fascinating interplay between analysis, geometry and theoretical physics.
Updated 2 May 2018