Victor Ivrii (),Персоналии: Иврий Виктор Яковлевич (born 1 October 1949)http://weyl.math.toronto.edu/victor_ivrii_Publications/vita.pdf Victor Ivrii was born October 1, 1949 in Sovetsk, USSR is a Russian-Canadian mathematician who specializes in analysis, microlocal analysis, spectral theory and 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.ICM Plenary and Invited Speakers
Education and Degrees
He graduated from Physical Mathematical School at Novosibirsk State University in 1965, 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.
Scientific contributions Weakly hyperbolic equations
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 the equation are.V. Ya. Ivrii, V M Petkov, Necessary conditions for the Cauchy problem for non-strictly hyperbolic equations to be well-posed, Russian Math. Surveys, 1974, 29 (5), 1–70
Propagation of singularities
In a series of papers he explored propagation of singularities 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;International Congress of Mathematicians#Soviet participation however his talk was published in the Proceedings of the Congress.
Asymptotic distribution of eigenvalues
His work in propagation of singularities logically guided him to the theory of asymptotic distribution of eigenvalues (a subject he has been studying ever since). V. Ivrii's 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. His talk was read by Lars Hörmander and published in the Proceedings of the Congress.
V. Ivrii wrote three research monographs,Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds with Boundary, 1984, 238ppMicrolocal Analysis and Precise Spectral Asymptotics, 1998, 731pp and,Microlocal Analysis, Sharp Spectral Asymptotics and Applications, 2019, Volume I. Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics Volume II. Functional Methods and Eigenvalue Asymptotics Volume III. Magnetic Schrödinger Operator 1 Volume IV. Magnetic Schrödinger Operator 2 Volume V. Applications to Quantum Theory and Miscellaneous Problems all published by Springer-Verlag.
Multiparticle quantum theory
The methods developed by V. Ivrii were very useful for the rigorous justification of Thomas-Fermi theory. Together with Israel Michael Sigal he justified the Scott correction term for molecules.V. Ivrii, M. I. Sigal. Asymptotics of the ground state energies of Large Coulomb systems, Annals of Mathematics 138 (1993), 243-335. Later V. Ivrii justified the Dirac and Schwinger correction terms.
Institutions
1973-1990 Magnitogorsk Mining and Metallurgical Institute 1990-1992 École Polytechnique 1992–present University of Toronto Department of Mathematics
Awards and honors
1998 Elected as Fellow of Royal Society of Canada.:fr:Liste des membres de la Société royale du Canada (1997-2005) 2002-2004 Killam Research Fellow.:fr:Liste des boursiers Killam, par ordre alphabétique I List of Killam Research Fellows 2012 Fellow of the American Mathematical Society.List of Fellows of the American Mathematical Society , retrieved 2013-01-26.
References
External links
Victor Ivrii infopage at University of Toronto Department of Mathematics Items authored by or related to Ivriĭ, V. Ya.