| Victor Ivrii | |
|---|---|
| Born | 1 October 1949 Sovetsk, Kaliningrad Oblast, USSR |
| Residence | Toronto, Canada |
| Citizenship | Canadian |
| Fields | Mathematics |
| Institutions | Magnitogorsk Technical University École Polytechnique University of Toronto |
| Alma mater | Novosibirsk State University, |
| Doctoral advisor | Sergey Sobolev |
| Notable awards | Fellow of the Royal Society of Canada 1998, Killam Research Fellow, 2002-2004. |
Victor Ivrii is a Soviet, Canadian mathematician specializing analysis, microlocal analysis, spectral theory, partial differential equations. He is a professor at the University of Toronto Department of Mathematics.
He was an invited speaker at International Congress of Mathematicians, Helsinki—1978 and Berkeley—1986 .[1]
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He received his University Diploma (equivalent to MSci) in 1970 and PhD in 1973 in Novosibirsk State University. He defended his Doktor nauk thesis in St. Petersburg Department of Steklov Institute of Mathematics of Russian Academy of Sciences in 1982.[2]
His first main works were devoted to the well-posedness of the Cauchy problem for weakly hyperbolic equations. In particular he discovered a necessary (later proven to be sufficient) condition for Cauchy problem to be well-posed no matter what the lower terms in equation are.[3]
In series of papers he explored propagation of singularities of of symmetric hyperbolic systems inside of the domain and near the boundary. He was invited to give a talk at ICM—1978, Helsinki but was not granted an exit visa by the Soviet authorities[4]; however his talk [5] was published in the Proceedings of the Congress.
His work in propagation of singularities logically guided him to the theory of asymptotic distribution of eigenvalues (subject he was studying ever since). V. Ivrii' debut in this field was a proof of Weyl conjecture (1980). Then he developed a rescaling technique which allowed to consider domains and operators with singularities. He again was invited give a talk at ICM—1986, Berkeley but again was not granted an exit visa by the Soviet authorities; however his talk [6] was read by Lars Hörmander and published in the Proceedings of the Congress.
V. Ivrii wrote two research monographs [7] and [8] both published by Springer-Verlag.
The methods developed by V. Ivrii were very useful for the rigorous justification of Thomas-Fermi theory. Together with Israel Michael Sigal he justified Scott correction term for molecules.[9] Later V. Ivrii justified Dirac and Schwinger correction terms.