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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“There are hardly half a dozen writers in England today who have not sold out to the enemy. Even when their good work has been a success, Mammon grips them and whispers: “More money for more work.””
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“No work of art ever puts forward views. Views belong to people who are not artists.”
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It is and never can be changed.
Behind everything there is always
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—Randall Jarrell (1914–1965)