John Stephen Halperin (born 1 February 1942 in

Kingston, Ontario Kingston is a city in Ontario, Canada. It is located on the north-eastern end of Lake Ontario, at the beginning of the St. Lawrence River and at the mouth of the Cataraqui River (south end of the Rideau Canal). The city is midway between Toro ...

) is a Canadian mathematician who deals with differential geometry and algebraic topology. A son of the mathematician

Israel Halperin Israel Halperin, (January 5, 1911 – March 8, 2007) was a Canadian mathematician and social activist. Early life and education Israel Halperin was born in Toronto, Ontario, the son of Russian Jewish immigrants Solomon Halperin and Fanny Lun ...

, Stephen Halperin studied at the

University of Toronto The University of Toronto (UToronto or U of T) is a public research university in Toronto, Ontario, Canada, located on the grounds that surround Queen's Park. It was founded by royal charter in 1827 as King's College, the first institution ...

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 statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach an ...

under the supervision of

Hsien Chung Wang Hsien Chung (or Hsien-Chung or Hsien-chung) Wang ( 王宪钟 ''Wang Xian Zhong''; 18 April 1918 in Beijing – 25 June 1978 in New York City) was a Chinese-American mathematician, specializing in differential geometry, Lie groups, and algebraic top ...

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 Rhenish Friedrich Wilhelm University of Bonn (german: Rheinische Friedrich-Wilhelms-Universität Bonn) is a public research university located in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the ( en, Rhine U ...

, in 1986 at the

University of Nice A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the ...

, and in 1995 at the

University of Lille The University of Lille (french: Université de 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 m ...

. 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 topology ...

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 presen ...

. 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 land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of Mary ...

, 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 mathematics published by the American Mathematical Society. It was established in 1900. As a requirement, all articles must be more than 15 p ...

, 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 Recherche ...

, 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) (ISSN 0072-5285) 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 s ...

, 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