Dr. Victor Ivrii
Fellow
Current Employer
University of Toronto
Election Year
1998
Academy
Academy of Science
Discipline
Mathematics and Computer Sciences
Department
Department of Mathematics
Keywords
Microlocal analysis, spectral asymptotics, propagation of singularities, quantum Hamiltonian bicharacteristics
Victor Ivrii, Department of Mathematics, University of Toronto, is Canada's most distinguished expert on partial differential equations. He proved, by methods of exceptional depth and beauty, the Weyl conjecture on the second term in the asymptotics of the counting function for the eigenvalues of a Laplacian on a manifold with boundary. That conjecture had been open for 70 years and attracted some of the strongest geometric analysts. His other works on hyperbolic equations, fine spectral asymptotics and mathematics of large atoms have won him respect and admiration of experts around the world. His forthcoming book on spectral asymptotics is the most insightful and original treatise in that well developed field.