John Stephen Halperin (born 1 February 1942 in

Kingston, Ontario Kingston is a city in Ontario, Canada, on the northeastern end of Lake Ontario. It is at the beginning of the St. Lawrence River and at the mouth of the Cataraqui River, the south end of the Rideau Canal. Kingston is near the Thousand Islands, ...

) 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 The University of Toronto (UToronto or U of T) is a public university, public research university whose main campus is located on the grounds that surround Queen's Park (Toronto), Queen's Park in Toronto, Ontario, Canada. It was founded by ...

with a bachelor's degree in 1966 and a master's degree in 1967. He received in 1970 his PhD from

Cornell University Cornell University is a Private university, private Ivy League research university based in Ithaca, New York, United States. The university was co-founded by American philanthropist Ezra Cornell and historian and educator Andrew Dickson W ...

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 The University of Bonn, officially the Rhenish Friedrich Wilhelm University of Bonn (), is a public research university in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the () on 18 October 1818 by Frederick Willi ...

, in 1986 at the

University of Nice A university () is an institution of tertiary education and research which awards academic degrees in several academic disciplines. ''University'' is derived from the Latin phrase , which roughly means "community of teachers and scholars". Univ ...

, and in 1995 at the

University of Lille The University of Lille (, abbreviated as ULille, UDL or univ-lille) is a French public research university based in Lille, Hauts-de-France. It has its origins in the University of Douai (1559), and resulted from the merger of three universities ...

. His research deals with homotopy theory and homology of

loop space In topology, a branch of mathematics, the loop space Ω''X'' of a pointed topological space ''X'' is the space of (based) loops in ''X'', i.e. continuous pointed maps from the pointed circle ''S''1 to ''X'', equipped with the compact-open topolog ...

s 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 Fellowship of the Royal Society of Canada (FRSC) is an award granted to individuals that the Royal Society of Canada judges to have "made remarkable contributions in the arts, the humanities and the sciences, as well as in Canadian public life" ...

. In 1997 he received the

Jeffery–Williams Prize The Jeffery–Williams Prize is a mathematics award presented annually by the Canadian Mathematical Society. The award is presented to individuals in recognition of outstanding contributions to mathematical research. The first award was present ...

. In 1999 he became a full professor at the

University of Maryland, College Park The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public university, public Land-grant university, land-grant research university in College Park, Maryland, United States. Founded in 1856, UMD i ...

, where he served as the dean of the College of Computer, Mathematical and Physical Sciences.

Selected publications

* with Ray Vanstone and Werner H. Greub: '' Connections, Curvature and Cohomology '', 3 volumes (Volume 1: De Rham Cohomology of Manifolds and Vector Bundles, Volume 2 Lie Groups, Principal Bundles and Characteristic Classes, Volume 3 Cohomology of principal bundles and homogeneous spaces), Academic Press 1972, 1973, 1976 * with Yves Félix
'' Rational L.-S. category and its applications ''

Transactions of the American Mathematical Society The ''Transactions of the American Mathematical Society'' is a monthly peer-reviewed scientific journal of pure and applied mathematics published by the American Mathematical Society. It was established in 1900. As a requirement, all articles must ...

, vol. 273, 1982, 1–38 * with Karsten Grove: '' Contributions of rational homotopy theory to global problems in geometry '',

Publications Mathématiques de l'IHÉS ''Publications Mathématiques de l'IHÉS'' is a peer-reviewed mathematical journal. It is published by Springer Science+Business Media on behalf of the Institut des Hautes Études Scientifiques, with the help of the Centre National de la Recher ...

, vol. 56, 1982, 171–177
''Lectures on minimal models''
Mémoires de la Société Mathématique de France, 2^e série, tome 9–10, 1983, 1–261 * with Yves Félix and Jean-Claude Thomas
''Differential graded algebras in topology''
in I.M. James (editor) '' Handbook in Algebraic Topology '', Elsevier Science 1995, Chapter 16, pp. 829–865. * with Yves Félix and Jean-Claude Thomas
''Rational Homotopy Theory''

Graduate Texts in Mathematics Graduate Texts in Mathematics (GTM) () is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The books in this series, like the other Springer-Verlag mathematics series, are yellow books of a standard size (with va ...

, Springer Verlag 2001

References

External links

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{{DEFAULTSORT:Halperin, Stephen 1942 births Living people Cornell University alumni Fellows of the Royal Society of Canada People from Kingston, Ontario Scientists from Ontario Topologists University of Toronto alumni Academic staff of the University of Toronto 20th-century Canadian mathematicians 21st-century Canadian mathematicians University of Maryland, College Park faculty Canadian expatriates in the United States