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:
“It is the work of a brave man surely, in whom there was no guile! He rounded this water with his hand, deepened and clarified it in his thought, and in his will bequeathed it to Concord. I see by its face that it is visited by the same reflection; and I can almost say, Walden, is it you?”
—Henry David Thoreau (1817–1862)
“While I do not think it was so intended I have always been of the opinion that this turned out to be much the best for me. I had no national experience. What I have ever been able to do has been the result of first learning how to do it. I am not gifted with intuition. I need not only hard work but experience to be ready to solve problems. The Presidents who have gone to Washington without first having held some national office have been at great disadvantage.”
—Calvin Coolidge (1872–1933)
“When I consider thy heavens, the work of thy fingers, the moon and the stars, which thou hast ordained; what is man, that thou art mindful of him? and the son of man, that thou visitest him? For thou hast made him a little lower than the angels, and hast crowned him with glory and honour.”
—Bible: Hebrew Psalms, 8:2.
“Man was kreated a little lower than the angells and has bin gittin a little lower ever sinse.” (Josh Billings, His Sayings, ch. 28, 1865)