J. Peter May is a homotopy theorist at the University of Chicago, inventor of operads as a technique for studying infinite loop spaces and spectra. He is now one of the main advocates of higher category theory in the United States.
On equivariant stable homotopy theory:
equivariant homotopy theory (Bredon cohomology, equivariant stable homotopy theory, rational equivariant stable homotopy theory)
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