Stephen Halperin

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John Stephen Halperin (born February 1, 1942 in Kingston (Ontario) ) is a Canadian mathematician who studies differential geometry and algebraic topology.

He is the son of the mathematician Israel Halperin . Halperin studied at the University of Toronto with a bachelor's degree in 1966 and a master's degree in 1967 and received his doctorate in 1970 under Hsien Chung Wang at Cornell University (Real Cohomology and Smooth Transformation Groups). He was then Assistant Professor and from 1979 Professor at the University of Toronto.

In 1981 he was visiting researcher at the University of Bonn, 1986 in Nice and 1995 in Lille.

He wrote a three-volume textbook on differential geometry with Werner H. Greub and Ray Vanstone . He deals with homotopy theory and homology of loop spaces with applications in geometry.

In 1997 he received the Jeffery Williams Prize . He is a Fellow of the Royal Society of Canada .

Fonts

  • with Yves Félix, Jean-Claude Thomas: Rational Homotopy Theory (= Graduate Texts in Mathematics. 205). Springer, New York NY et al. 2001, ISBN 0-387-95068-0 .
  • with Yves Félix, Jean-Claude Thomas: Differential graded algebras in topology. In: Ioan M. James (Ed.): Handbook in Algebraic Topology. Elsevier, Amsterdam et al. 1995, ISBN 0-444-81779-4 , Chapter 16, pp. 829-865.
  • with Yves Félix: Rational L.-S. category and its applications. In: Transactions of the American Mathematical Society . Vol. 273, No. 1, 1982, 1-37, doi : 10.2307 / 1999190 .
  • with Karsten Grove : Contributions of rational homotopy theory to global problems in geometry. In: Pub. Math. IHES. Vol. 56, 1982, pp. 171-177, ( online ).
  • with Ray Vanstone, Werner H. Greub: Connections, Curvature and Cohomology. 3 volumes. Academic Press, New York NY et al. 1972-1976;
    • Volume 1: De Rham Cohomology of Manifolds and Vector Bundles (= Pure and Applied Mathematics. 47, 1). 1972, ISBN 0-12-302701-2 ;
    • Volume 2: Lie Groups, Principal Bundles and Characteristic Classes (= Pure and Applied Mathematics. 47, 2). 1973, ISBN 0-12-302702-0 ;
    • Volume 3: Cohomology of principal bundles and homogeneous spaces (= Pure and Applied Mathematics. 47, 3). 1976, ISBN 0-12-302703-9 .

Web links

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ↑ Stephen Halperin in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Halperin, Stephen
ALTERNATIVE NAMES Halperin, John Stephen (full name)
BRIEF DESCRIPTION Canadian mathematician
DATE OF BIRTH February 1, 1942
PLACE OF BIRTH Kingston (Ontario)