Profil
Dr. Niky Kamran
Affiliation
McGill UniversityAcadémie ou Collège
Académie des sciencesAnnée d'admission
2002Domaines d’expertise
Dirac operators, exterior differential systems, quasi-exactly solvable potentials, conservation laws, le pseudo-group.
Niky Kamran, Department of Mathematics and Statistics, McGill University, is a leading researcher in the geometric study of differential equations. In a series of joint papers with Finster, Smoller and S. T. Yau, he has recently established sharp estimates for the long-time behaviour of Dirac fields in axisymmetric black hole geometries. His work on differential invariants and conservation laws for differential equations has led to an in-depth understanding of the property of geometric integrability for hyperbolic equations. He is also a founder of the rapidly expanding field of quasi-exactly solvable spectral problems in quantum mechanics. The growth of this field is due to a significant extent to his foundational papers. He is the recipient of the André Aisenstadt Prize in 1992, and is a Laureate of the Royal Academy of Sciences of Belgium. He won that academy's prize in mathematics in 1988 for his research monograph "Contributions to the study of the equivalence problem of Elie Cartan and its applications to partial and ordinary differential equations."