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Professor Yuri Safarov

Yuri-Safarov

The Department deeply regrets to announce that Professor Sarafov passed away on 2 June 2015.  Any enquiries should be directed to Professor Alexander Pushnitski: alexander.pushnitski@kcl.ac.uk

 

Personal Website

Biography

Yuri Safarov obtained his PhD and DSc degrees from St-Petersburg Branch of Steklov Mathematical Institute in 1984 and 1990, respectively. He worked as a leading research fellow at the Steklov Institute till 1993. In 1993 he was awarded a SERC Advanced Fellowship and moved to King’s College. He became a professor in 1997. 

Yuri held visiting research positions in France, Germany, Sweden and the USA. He published a research monograph and more than 40 research papers, delivered invited lectures at more than 20 international conferences, supervised four research assistants and seven PhD students. He received ``The best young mathematician prize” from the Leningrad Mathematical Society in 1987 and a Whitehead Prize from the London Mathematical Society in 1996.

Research Interests

Yuri Safarov was a member of the Analysis Group; he worked on the spectral theory of partial differential operators, operator theory and microlocal analysis.  Microlocal analysis is a powerful technique which has led to remarkable achievements during the last 50 years.  Yuri applied it to the study of asymptotic distribution of eigenvalues, properties of differential operators on manifolds and some classical problems of Fourier analysis.  A rough idea of the problems he was working on can be obtained from his book `The asymptotic distribution of eigenvalues of partial differential operators' .  Some of his recent papers were concerned with problems of convex analysis and the abstract theory of operators, and their applications to spectral theory.

Selection of Publications

The asymptotic distribution of eigenvalues of partial differential operators . American Mathematical Society, 1996, 354 pages. Jointly with D. Vassiliev.

Birkhoff's theorem and multidimensional numerical range http://arxiv.org/abs/math/0110131

Weyl asymptotic formula for the Laplacian on domains with rough boundaries.http://arxiv.org/abs/math/0310093

The Berezin and Garding inequalities http://arxiv.org/abs/math/0512512

Birkhoff's Theorem for a Family of Probability Spaces http://arxiv.org/abs/math/0512451 

On the comparison of the Dirichlet and Neumann counting functions http://arxiv.org/abs/0812.2554

Average Growth of the Spectral Function on a Riemannian Manifold http://arxiv.org/abs/0803.4171

On the relation between an operator and its self-commutator http://arxiv.org/abs/0909.1076

 

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