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Prof Dmitri Vassiliev
504a
Department of Mathematics, UCL
Gower Street
London
WC1E 6BT
Tel:  +44(0)20 7679 2442
Fax: +44(0)20 7383 5519
Appointment
  • Professor of Mathematics
  • Dept of Mathematics
  • Faculty of Maths & Physical Sciences
Biography

 

Research Summary

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.

Teaching Summary

 

Appointments
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
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