# J. Peter May

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

May studied at Swarthmore College ( Bachelor 1960) and at Princeton University, where he received his doctorate in 1964 at John Coleman Moore (The cohomology of restricted Lie algebras and of Hopf algebras: application to the Steenrod algebra). After that, he was Instructor and Assistant Professor from 1965 at Yale University, and from 1967 Associate Professor and from 1970 professor at the University of Chicago, where he was Chairman from 1985 to 1991 the mathematics faculty from 1988 to 1996 and was director of the Mathematical Disciplines Center. In 1966 he was at the Institute for Advanced Study, and also a visiting professor at the University of Cambridge ( 1971/72, 1976).

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

In 1997 he was Hardy Lecturer of the London Mathematical Society.

His doctoral Ib Madsen heard.

## Writings

- 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 I. Kriz: Operads, Algebras, Modules and Motives, AMS 1995
- With L.G. 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: Homotopy Theory parametrized, 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