Summary
Michael Ruzhansky is a Professor of Pure Mathematics at Imperial College London.
Professor Michael Ruzhansky's personal web page with more up-to-date information can be found at http://ruzhansky.org
His research includes partial differential equations and related microlocal and harmonic analysis. He is especially interested in equations of hyperbolic type, Schrödinger equations, more general dispersive and evolution equations, as well as elliptic and hyperbolic systems of equations.
His other research interests are in the theory of pseudo-differential operators and microlocal analysis on spaces with symmetries (such as Lie groups, more general manifolds, etc.)
Invited Lectures and Presentations
2007
- “Microlocal analysis symposium (Keio University, invited lecture),
- MM-VII Conference “Symmetries and Mechanics” (University of Novi Sad, plenary lecture),
- RIMS (Kyoto, “Differential equations and exact WKB analysis” conference, invited lecture)
- Tokai Symposium in PDEs (invited lecture),
- Biwako Symposium “Linear and Nonlinear Waves No5” (invited lecture)
2008
- Himeji Symposium (invited lecture),
- Tokai Symposium on nonlinear PDEs (invited lecture),
- 2nd Conference “Pseudo-Differential Operators and Related Topics”, Sweden (plenary lecture)
- Symposium “Harmonic Analysis and Nonlinear Partial Differential Equations”, RIMS, Japan (invited 2-hour lecture)
- International Workshop “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” (Toronto, Canada, plenary lecture),
- 12th Serbian Mathematical Congress (Serbia, plenary lecture),
- Conference on Numerical Matrix Analysis and Operator Theory (HUT, Finland, Special year in Numerics 2008-2009 of the Finnish Mathematical Society, invited lecture)
2009
- International Conference “Generalized Functions GF 2009: Topics in PDE, Harmonic Analysis, and Geometry”, Vienna, Austria, 2009 (plenary lecture)
- Joint Meeting of German and Austrian Mathematical Societies (plenary lecture), 2009
Further, see http://www2.imperial.ac.uk/~ruzh/cv-fr.htm for more recent lectures
Other Significant Activities
- Organiser of the conference "Fourier analysis and hyperbolic PDEs", Imperial College London, 2005
- Organiser of the F.G. Tricomi''s 110 anniversary conference "Interplay between pseudo-differential operators and PDEs", Torino, Italy, 2007
- Organiser of the conference “Function spaces and partial differential equations”, Osaka University, Japan, 2008
- International Conference "Decay and rugularity of solutions of differential equations and dynamical systems", Cagliari, Italy, member of scientific committee, 2008
- International Conference on Generalized Functions FG 2009 (Topics in PDE, Harmonic Analysis, and Geometry), Vienna, Austria, member of scientific committee, 2009
- 7th ISAAC Congress, Imperial College London, UK (poster, public lecture), Chairman of the Organising Committee (24 sessions, approx. 550 attendees from 59 countries, 125 participants from the developing countries)
- “Harmonic Analysis and Partial Differential Equations”, Nagoya, Japan (poster), co-organiser
- “Three Weeks On Micro-local Analysis”, University of Torino, Italy, poster, 3-21 May 2010, member of the scientific committee
- Special session “Geometric and singular analysis”, 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Dresden University of Technology, Dresden, Germany, 25-28 May 2010, co-organiser
- International Workshop “Fourier Analysis and Partial Differential Equations”, University of Göttingen, Germany, poster, 14-17 June 2010, co-organiser
- International Workshop “Global Properties of Partial Differential Equations on Manifolds”, pdf, University of Cagliari, Italy, 22-24 September 2010, member of the program/scientific committee
- 8th ISAAC Congress, Moscow, Russia, 22-27 August 2011 (10MB poster), member of the international advisory board, co-organizer of the session “Dispersive Equations”
- International Conference “Asymptotic Properties of Solutions to Hyperbolic Equations”, Imperial College London, poster, 21-25 March 2011, Chairman of the Organising Committee
- “Phase space methods for pseudo-differential operators”, part of the program “Modern Methods of Time-Frequency Analysis II”, ESI 12, Erwin Schrödinger Institute, Vienna, Sept-Dec 2012, member of the organising team (jointly with K. Gröchenig and M. de Hoop)
- International Conference “Fourier Analysis and Pseudo-Differential Operators”, Aalto University, Helsinki, Finland, 25-29 June 2012, co-organiser
Plenary Lectures
- MM-VII Conference “Symmetries and Mechanics” (University of Novi Sad, plenary lecture), 2007
- 2nd Conference “Pseudo-Differential Operators and Related Topics”, Sweden (plenary lecture), 2008
- Meeting of Japanese Mathematical Society, (invited lecture), 2008
- Symposium “Harmonic Analysis and Nonlinear Partial Differential Equations”, RIMS, Japan (plenary 2-hour lecture), 2008
- International Workshop “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” (Toronto, Canada, plenary lecture), 2008
- 12th Serbian Mathematical Congress (plenary lecture), 2008
- Conference on Numerical Matrix Analysis and Operator Theory (HUT, Finland, Special year in Numerics 2008-2009 of the Finnish Mathematical Society, invited lecture), 2008
- International Conference “Generalized Functions GF 2009: Topics in PDE, Harmonic Analysis, and Geometry” (plenary lecture), Vienna, Austria, 2009
- Plenary lecture at the international conference “Modern problems of applied mathematics and information technologies” AL-KHOREZMY 2009, Tashkent, Uzbekistan, 2009
- Joint Meeting of German and Austrian Mathematical Societies (plenary lecture), 2009
- Plenary lecture at the GF 2011: International Conference on Generalized Functions, Linear and Non-Linear Problems; Université des Antilles et de la Guyane, Martinique, France, 2011
EDITORIAL WORK
Ruzhansky M., Wirth J. (Eds.) Progress in Analysis and its Applications, Proceedings of the 7th International ISAAC Congress, Imperial College London, UK, 13-18 July 2009, World Scientific, 2010. 668pp. summary and order. ISBN: 978-981-4313-16-2, 978-981-4313-16-5
Ruzhansky M., Wirth J. (Eds.) Modern Aspects of the Theory of Partial Differential Equations, Operator Theory: Advances and Applications, Vol. 216, Birkhäuser, Basel, 2011. 367pp. summary and order. ISBN: 978-3-0348-0068-6
Selected Publications
Journal Articles
Garetto C, Ruzhansky M, 2013, Weakly hyperbolic equations with non-analytic coefficients and lower order terms, Mathematische Annalen, Vol:357, ISSN:0025-5831, Pages:401-440
Ruzhansky M, Sugimoto M, 2012, Structural Resolvent Estimates and Derivative Nonlinear Schrodinger Equations, Communications in Mathematical Physics, Vol:314, ISSN:0010-3616, Pages:281-304
Ruzhansky M, Sugimoto M, 2012, Smoothing properties of evolution equations via canonical transforms and comparison principle, Proceedings of the London Mathematical Society, Vol:105, ISSN:0024-6115, Pages:393-423
Ruzhansky M, 2012, Multidimensional decay in the van der Corput lemma, Studia Mathematica, Vol:208, ISSN:0039-3223, Pages:1-10
Ruzhansky M, Wirth J, 2011, Dispersive estimates for hyperbolic systems with time-dependent coefficients, Journal of Differential Equations, Vol:251, ISSN:0022-0396, Pages:941-969
Ruzhansky M, Turunen V, 2011, Sharp Garding inequality on compact Lie groups, Journal of Functional Analysis, Vol:260, ISSN:0022-1236, Pages:2881-2901
Ruzhansky M, Turunen V, 2010, Quantization of Pseudo-differential Operators on the Torus, Journal of Fourier Analysis and Applications, Vol:16, ISSN:1069-5869, Pages:943-982
Ruzhansky M, Turunen V, 2008, Global quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere, International Mathematics Research Notices
Books
Ruzhansky M, Smith J, 2010, Dispersive and Strichartz Estimates for Hyperbolic Equations with Constant Coefficients, Mathematical Soc of Japan, ISBN:9784931469570
Ruzhansky M, Turunen V, 2010, Pseudo-Differential Operators and Symmetries, Birkhauser, ISBN:9783764385132