Michael Ruzhansky
Michael V. Ruzhansky , also Michael Wladimirowitsch Ruschanski , Russian Михаил Владимирович Ружанский (* 1972 ) is a Russian mathematician who teaches at Imperial College London and deals with analysis.
Ruzhansky studied from 1989 at the State University of Saint Petersburg and from 1993 in the Netherlands (Mathematical Research Institute and Utrecht University). He received his PhD in 1998 under Johannes Jisse Duistermaat at the University of Utrecht (Dissertation: Singular Fibrations with Affine Fibers, with Applications to the Regularity Properties of Fourier Integral Operators ). As a post-graduate student , he was visiting professor at Johns Hopkins University . In 1998 he became a lecturer at the University of Edinburgh and in 2000 at Imperial College London , where he became a reader in 2006 and a professor in 2010.
He deals with differential equations, harmonic and micro-local analysis. Especially with hyperbolic partial differential equations, Schrödinger equations, evolution equations and dispersive differential equations, pseudo differential operators and micro-local analysis on symmetrical spaces such as Lie groups.
Two of his books received the Ferran Sunyer i Balaguer Prize . In 2008 he received a Leadership Fellowship from the Engineering and Physical Sciences Research Council of Great Britain. In 2007/08 he was a Fellow of the Japan Society for Promotion of Science. In 2017 he received a Leverhulme scholarship.
Fonts (selection)
- Singularities of affine fibrations in the regularity theory of Fourier integral operators, Russian Math. Surveys, Volume 55, 2000, pp. 93-161
- with V. Turunen, Pseudo-Differential Operators and Symmetries, Birkhäuser, 2010
- with Turunen: Quantization of Pseudo-differential Operators on the Torus, Journal of Fourier Analysis and Applications, Volume 16, 2010, pp. 943-982
- with Turunen: Sharp Garding inequality on compact Lie groups, Journal of Functional Analysis, Volume 260, 2010, pp. 2881-2901
- with Véronique Fischer : Quantization on Nilpotent Lie Groups, Progress in Math., Volume 314, Birkhäuser, 2016.
- with D. Suragan: Hardy inequalities on homogeneous groups, 2018
- with M. Sadybekov, D. Suragan, Spectral geometry of partial differential operators, CRC Press 2018
- with J. Wirth: Dispersive estimates for hyperbolic systems with time-dependent coefficients, Journal of Differential Equations, Volume 251, 2011, pp. 941–969
- with Turunen: Global Quantization of Pseudo-Differential Operators on Compact Lie Groups, SU (2), 3-sphere, and Homogeneous Spaces, International Mathematics Research Notices, 2013, pp. 2439–2496
- with M. Sugimoto: Global L 2-boundedness theorems for a class of Fourier integral operators, Communications in Partial Differential Equations, Volume 31, 2006, pp. 547-569
- with M. Sugimoto: Smoothing properties of evolution equations via canonical transforms and comparison principle, Proceedings of the London Mathematical Society, Volume 105, 2012, pp. 393-423
- with M. Sugimoto: Structural Resolvent Estimates and Derivative Nonlinear Schrodinger Equations, Communications in Mathematical Physics, Volume 314, 2012, pp. 281-304
- with C. Garetto: Weakly hyperbolic equations with non-analytic coefficients and lower order terms, Mathematische Annalen, Volume 357, 2013, pp. 401–440
- with James Smith: Dispersive and Strichartz estimates for hyperbolic equations with constant coefficients, Memoirs Math. Society Japan, 2010, Arxiv
Web links
Individual evidence
- ↑ Michael Ruzhansky in the Mathematics Genealogy Project (English)
| personal data | |
|---|---|
| SURNAME | Ruzhansky, Michael |
| ALTERNATIVE NAMES | Ruzhansky, Michael V .; Ruschanski, Michael Wladimirowitsch; Ружанский, Михаил Владимирович (Russian) |
| BRIEF DESCRIPTION | Russian mathematician |
| DATE OF BIRTH | 1972 |