Niky Kamran

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Niky Kamran (born May 22, 1959 in Brussels ) is a Belgian-Canadian mathematician who deals with partial differential equations and their symmetries and with differential geometry .

Kamran received his degree in mathematics ( summa cum laude ) from the Free University of Brussels in 1980 and received his doctorate in 1984 from the University of Waterloo with Raymond McLenaghan (Contributions to the Study of the Separation of Variables and Symmetry Operators for Relativistic Wave Equations on Curved Spacetime ). He was a post-doctoral student at the University of Montreal . In 1986 he became an Assistant Professor at the University of Waterloo, 1987 Associate Professor at McGill University with a full professorship since 1995. Since 2003 he has been James McGill Professor.

In 1987/88 he was at the Institute for Advanced Study .

He is known for work on systems of outer differential forms (the theory of which was founded by Élie Cartan and related to the Lie theory of differential equations) that are invariant under different Lie groups or Lie pseudo-groups, the question of the existence of solutions and those that occur infinite dimensional symmetries.

Partly with F. Finster , Joel Smoller and Shing-Tung Yau , he investigated different space times in general relativity , such as Kerr and Schwarzschild solutions from the theory of black holes or anti-de-sitter spaces (those in theories of quantum gravity play a role via the AdS-CFT correspondence ).

In 2014 he received the CRM-Fields-PIMS Prize and in 1992 the first André Aisenstadt Prize . From 2006 to 2008 he was a Killam Fellow. In 2012 he became a Fellow of the American Mathematical Society . In 2002 he became a Fellow of the Royal Society of Canada . In 1988 he received the Mathematics Prize of the Royal Belgian Academy of Sciences (for: Contributions to the study of the equivalence problem of Elie Cartan and its applications to partial and ordinary differential equations , Mémoires de la Classe des Sciences de l 'Académie Royale de Belgique, volume 45, 1989, Fasc. 7).

Fonts (selection)

  • Selected topics in the geometrical study of differential equations, NSF-CBMS Regional conference series in mathematics 93, American Mathematical Society 2002
  • Exterior Differential Systems, in D. Krupka, D. Saunders (Eds.), Handbook of Global Analysis, Elsevier 2008, pp. 107-145
  • Transitive analytic Lie pseudogroups, in: Phillip Griffiths (Ed.) Inspired by SS Chern, a memorial volume in honor of a great mathematician, Nankai Tracts Tracts in Mathematics, Vol. 11, World Scientific, 2006, pp. 297-313.
  • Exterior differential systems and Cartan-Kähler theory, Acta Applicandae Mathematicae, Volume 87, 2005, pp. 147-164.
  • An elementary introduction to exterior differential systems, in: PJ Vassiliou, IG Lisle, Geometric Approaches to Differential Equations, Australian Mathematical Society Lecture Series, Cambridge University Press, 2000, pp. 100-116
  • Finster, Kamran, Smoller, Yau: Linear waves in the Kerr geometry: a mathematical voyage to black hole physics, Bulletin AMS, Volume 46, 2009, pp. 635-659, online
  • with Peter Olver : Lie Algebras, Cohomology and New Applications to Quantum Mechanics, Contemporary Mathematics 160, American Mathematical Society 1994

Web links

Individual evidence

  1. ↑ Niky Kamran in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Kamran, Niky
BRIEF DESCRIPTION Belgian-Canadian mathematician
DATE OF BIRTH May 22, 1959
PLACE OF BIRTH Brussels