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- Professor of Mathematics
- Dept of Mathematics
- Faculty of Maths & Physical Sciences
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 first order PDEs (elliptic or hyperbolic) on manifolds, using microlocal techniques. My interest in first order systems is fuelled by the observation that their study leads to a fascinating interplay between analysis and geometry. I am particularly interested in the case of a system of two complex equations in dimension four because any such system implicitly contains a Lorentzian metric, Pauli matrices, connection coefficients for spinor fields and an electromagnetic covector potential.
|01-SEP-2011||Professor||Mathematics||University College London, United Kingdom|
|01-JUL-2006 – 31-AUG-2011||Professor and Head of Department||Mathematics||University College London, United Kingdom|
|1999 – 2006||Professor||Mathematics||University of Bath, United Kingdom|
|1991 – 1999||Lecturer, Reader, Professor||Mathematics||University of Sussex, United Kingdom|
|1981 – 1991||Junior Researcher, Researcher, Head of Laboratory||Institute for Problems in Mechanics, USSR Acad Sci, Russian Federation|