Imperial College London

ProfessorMichaelRuzhansky

Faculty of Natural SciencesDepartment of Mathematics

Professor of Pure Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8500m.ruzhansky Website

 
 
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Location

 

615Huxley BuildingSouth Kensington Campus

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Summary

 

Summary

Michael Ruzhansky is a Professor of Pure Mathematics at Imperial College London. He is currently an EPSRC Leadership Fellow with the project on the phase space analysis of evolution equations.

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.)

Professor Michael Ruzhansky's personal web page can be found at http://www.ma.ic.ac.uk/~ruzh

 

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

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

Ruzhansky M, Turunen V, 2013, Global Quantization of Pseudo-Differential Operators on Compact Lie Groups, SU(2), 3-sphere, and Homogeneous Spaces, International Mathematics Research Notices, ISSN:1073-7928, Pages:2439-2496

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, 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, Turunen V, 2011, Sharp Garding inequality on compact Lie groups, Journal of Functional Analysis, Vol:260, ISSN:0022-1236, Pages:2881-2901

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, 2012, Multidimensional decay in the van der Corput lemma, Studia Mathematica, Vol:208, ISSN:0039-3223, Pages:1-10

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

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

Books

Ruzhansky M, Smith J, Dispersive and Strichartz estimates for hyperbolic equations with constant coefficients

Ruzhansky M, Turunen V, 2010, Pseudo-Differential Operators and Symmetries, Birkhauser, ISBN:9783764385132

More Publications