J. Peter May

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Jon Peter May (born September 16, 1939 in New York City ) is an American mathematician who studies topology .

May studied at Swarthmore College (bachelor's degree in 1960) and at Princeton University , where he received his doctorate under John Coleman Moore in 1964 ( The cohomology of restricted Lie algebras and of Hopf algebras: application to the Steenrod Algebra ). He was then an instructor and from 1965 Assistant Professor at Yale University and from 1967 Associate Professor and from 1970 Professor at the University of Chicago , where he headed the Mathematics Faculty from 1985 to 1991 and was Director of the Mathematical Disciplines Center from 1988 to 1996. In 1966 he was at the Institute for Advanced Study and also visiting professor at Cambridge University (1971/72, 1976).

He deals with algebraic topology (there a spectral sequence is named after him), homotopy theory and category theory . He introduced the term operade to algebra.

He is a fellow of the American Mathematical Society . In 1997 he was a Hardy Lecturer at the London Mathematical Society .

Ib Madsen is one of his PhD students .


  • A concise course in algebraic topology , University of Chicago Press, 1999
  • Simplicial objects in algebraic topology , van Nostrand, 1968
  • Classifying spaces and fibrations , American Mathematical Society (AMS), 1975
  • with Frederick Cohen, TJ Lada: The homology of iterated loop spaces , Springer Verlag, 1976
  • with JPC Greenlees: Generalized Tate cohomology , American Mathematical Society, 1995
  • with I. Kriz: Operads, Algebras, Modules and Motives , AMS 1995
  • with LG Lewis, M. Steinberger: Equivariant stable homotopy theory , Springer Verlag, 1986
  • with MA Mandell: Equivariant orthogonal spectra and S-modules , AMS, 2002
  • with Elmendorff, Kriz, Mandell Rings, Modules and algebras in stable homotopy theory , AMS
  • with J. Sigurdsson: Parametrized Homotopy Theory , AMS, 2006
  • The geometry of iterated loop spaces , Springer Verlag, 1972
  • with V. Gugenheim: On the theory and applications of differential torsion products , AMS, 1974

Web links

Individual evidence

  1. Date of birth according to CV on his website, place of birth member book Institute of Advanced Study 1980
  2. ^ Mathematics Genealogy Project