Research output per year
Research output per year
Personal profile
Research interests
My mathematical interests lie between spectral theory and geometry. I have studied spectral and other properties of differential operators on manifolds in connection with geometric properties of the manifolds. Some of my recent work is connected with convex analysis, the abstract theory of operators on a Hilbert space and their applications to problems of spectral theory.
Research interests (short)
Spectral theory, microlocal analysis and related fields of mathematics.
Education/Academic qualification
Doctor of Science, Steklov Mathematical Institute
Award Date: 1 Jan 1990
Doctor of Philosophy, Steklov Mathematical Institute
Award Date: 1 Jan 1984
Master of Mathematics, Saint Petersburg State University
Award Date: 1 Jan 1980
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Dive into the research topics where Yuri Safarov is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
- 1 Similar Profiles
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A symbolic calculus for Fourier integral operators
Safarov, Y., 30 Mar 2015, Contemporary Mathematics: Geometric and Spectral Analysis. Albin, P., Jakobson, D. & Rochon, F. (eds.). American Mathematical Society, Vol. 630. p. 275-290 16 p.Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review
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Lower Bounds for the Counting Function of Integral Operators
Safarov, Y., 2013, Operator Theory, Pseudo-Differential Equations, and Mathematical Physics: Operator Theory: Advances and Applications. Birkhäuser, Vol. 228. p. 343-354Research output: Chapter in Book/Report/Conference proceeding › Chapter
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On the relation between an operator and its self-commutator
Filonov, N. & Safarov, Y., 15 May 2011, In: JOURNAL OF FUNCTIONAL ANALYSIS. 260, 10, p. 2902 - 2932 31 p.Research output: Contribution to journal › Article › peer-review
11 Citations (Scopus) -
Pseudodifferential operators on manifolds: a coordinate-free approach
Mckeag, P. & Safarov, Y., Jun 2011, Partial differential equations and spectral theory . BirkhäuserResearch output: Chapter in Book/Report/Conference proceeding › Chapter
File174 Downloads (Pure) -
Asymptotic Estimates of the Difference Between the Dirichlet and Neumann Counting Functions
Safarov, Y. G. & Filonov, N. D., 2010, In: Functional Analysis and its Applications. 44, 4, p. 286 - 294 9 p.Research output: Contribution to journal › Article › peer-review
2 Citations (Scopus)
Projects
- 7 Finished
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Ergodicity of branching billiards
Safarov, Y. (Primary Investigator)
18/10/2012 → 17/10/2014
Project: Research
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Ergodicity of branching billiards
Safarov, Y. (Primary Investigator)
1/08/2011 → 30/07/2012
Project: Research
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Travel grant
Safarov, Y. (Primary Investigator)
LMS London Mathematical Society
1/10/2010 → 15/10/2010
Project: Research
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International Congress on Mathematical Physics
Safarov, Y. (Primary Investigator)
6/08/2006 → 11/08/2006
Project: Research
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Convex spectral analysis
Safarov, Y. (Primary Investigator)
EPSRC Engineering and Physical Sciences Research Council
1/01/2005 → 9/06/2008
Project: Research
Activities
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International Workshop on Operator Theory and Applications
Safarov, Y. (Keynote/plenary speaker)
Sept 2009 → …Activity: Participating in or organising an event › Participation in conference
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International conference ``Analysis, PDEs and Applications’’ in honour of V. Maz’ya
Safarov, Y. (Keynote/plenary speaker)
Jun 2008 → …Activity: Participating in or organising an event › Participation in conference
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LMS Durham Symposium ``Operator Theory and Spectral Analysis’’
Safarov, Y. (Organiser)
2005 → …Activity: Participating in or organising an event › Participation in conference
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College, EPSRC
Safarov, Y. (Member)
2003 → 2005Activity: Other › Types of External academic engagement - Membership of peer review panel or committee
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Y Safarov was an LMS editorial adviser (Journal)
Safarov, Y. (Editorial board member)
1999 → 2005Activity: Publication peer-review and editorial work › Editorial activity