Michael Levitin
michaellevitin.net
Research
My main research directions are on the intersection of pure analysis, mathematical physics, applied mathematics, and numerical analysis.
My current interests are mainly in foundations, applications and numerical methods of spectral theory and spectral geometry, and include the following ongoing projects.
Spectral geometry of Laplace, Dirac, Maxwell and Lame operators, and of Dirichlet-to-Neumann maps
Universal and isopermetric estimates, and null varieties
Non-self-adjoint operators and operator pencils
Theory and numerics for eigenvalues and resonances on manifolds with regular ends
Foundations of numerical analysis
In recent years, I participated in organising the following events:
- Steklov eigenproblems, AIM workshop, April 30 to May 4, 2018
- LMS Prospects in Mathematics, Reading, September 2017
- Dirichlet-to-Neumann Maps: Spectral Theory, Inverse Problems and Applications, CMO-BIRS Workshop, Oaxaca, Mexico, June 2016
- CRM Summer School on geometric and computational spectral theory, CRM, Montreal, June 2016
Co-authors
- Mikhail Agranovich
- Boris Amosov
- Rafael Benguria
- Michiel van den Berg
- Lyonell Boulton
- Matteo Capoferri
- E Brian Davies
- Robert J Downes
- Daniel M Elton
- David V Evans
- Yan-Long Fang
- Francesco Ferrulli
- Nikolay Filonov
- Jacqueline Fleckinger
- Lennie Friedlander
- Rod Gover
- Asma Hassannezhad
- Dmitry Jakobson
- Ted Johnson
- Ari Laptev
- Viktor B Lidskii
- Marco Marletta
- Peter Monk
- Nikolai Nadirashvili
- Nilima Nigam
- Hasen Öztürk
- Leonid Parnovski
- Iosif Polterovich
- Yuri Safarov
- Virginia Selgas
- Marcelo Seri
- Eugene Shargorodsky
- David Sher
- Alex Sobolev
- Alexander Strohmaier
- Dmitri Vassiliev
- Rustem Yagudin
- Daphne Zelig