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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Famous quotes containing the word work:
“As I went about with my father when he collected taxes, I knew that when taxes were laid some one had to work to earn the money to pay them.”
—Calvin Coolidge (1872–1933)
“The press is no substitute for institutions. It is like the beam of a searchlight that moves restlessly about, bringing one episode and then another out of darkness into vision. Men cannot do the work of the world by this light alone. They cannot govern society by episodes, incidents, and eruptions. It is only when they work by a steady light of their own, that the press, when it is turned upon them, reveals a situation intelligible enough for a popular decision.”
—Walter Lippmann (1889–1974)
“One machine can do the work of fifty ordinary men. No machine can do the work of one extraordinary man.”
—Elbert Hubbard (1856–1915)