Work
Alain Connes is one of the leading specialists on operator algebras. In his early work on von Neumann algebras in the 1970s, he succeeded in obtaining the almost complete classification of injective factors. Following this he made contributions in operator K-theory and index theory, which culminated in the Baum-Connes conjecture. He also introduced cyclic cohomology in the early 1980s as a first step in the study of noncommutative differential geometry.
Connes has applied his work in areas of mathematics and theoretical physics, including number theory, differential geometry and particle physics.
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“Lazybones, sleepin’ in the sun, how you ‘spec’ to get your day’s work done?”
—Johnny Mercer (1909–1976)
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—Marshall McLuhan (1911–1980)
“The most striking fault in work by young or beginning novelists, submitted for criticism, is irrelevance—due either to infatuation or indecision. To direct such an author’s attention to the imperative of relevance is certainly the most useful—and possibly the only—help that can be given.”
—Elizabeth Bowen (1899–1973)