Stephen Halperin
John Stephen Halperin is a Canadian mathematician who deals with differential geometry and algebraic topology.
A son of the mathematician Israel Halperin, Stephen Halperin studied at the University of Toronto with a bachelor's degree in 1966 and a master's degree in 1967. He received in 1970 his PhD from Cornell University under the supervision of Hsien Chung Wang with thesis Real Cohomology and Smooth Transformation Groups. He then became an assistant professor and in 1979 a full professor at the University of Toronto.
Halperin was a visiting scholar in 1981 at the University of Bonn, in 1986 in Nice, and in 1995 in Lille.
His research deals with homotopy theory and homology of loop spaces with applications in geometry. He wrote a three-volume textbook on differential geometry with Werner H. Greub and Ray Vanstone.
In 1984 Halperin was elected a Fellow of the Royal Society of Canada. In 1997 he received the Jeffery–Williams Prize.Selected publications
- with Ray Vanstone and Werner H. Greub: Connections, Curvature and Cohomology , 3 volumes, Academic Press 1972, 1973, 1976
- with Yves Félix: , Transactions AMS, vol. 273, 1982, 1–38
- with Karsten Grove: Contributions of rational homotopy theory to global problems in geometry , Pub. Math. IHES, vol. 56, 1982, 171–177
- , Mémoires de la Société Mathématique de France, 2e série, tome 9–10, 1983, 1–261
- with Yves Félix and Jean-Claude Thomas: , in I.M. James Handbook in Algebraic Topology , Elsevier Science 1995, Chapter 16, pp. 829–865.
- with Yves Félix and Jean-Claude Thomas: , Graduate Texts in Mathematics, Springer Verlag 2001
