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:
“So it is with books, for the most part: they work no redemption on us. The bookseller might certainly know that his customers are in no respect better for the purchase and consumption of his wares. The volume is dear at a dollar, and after to reading to weariness the lettered backs, we leave the shop with a sigh, and learn, as I did without surprise of a surly bank director, that in bank parlors they estimate all stocks of this kind as rubbish.”
—Ralph Waldo Emerson (18031882)
“As a man has no right to kill one of his children if it is diseased or insane, so a man who has made the gradual and conscious expression of his personality in literature the aim of his life, has no right to suppress himself any carefully considered work which seemed good enough when it was written. Suppression, if it is deserved, will come rapidly enough from the same causes that suppress the unworthy members of a mans family.”
—J.M. (John Millington)
“I am from time to time congratulating myself on my general want of success as a lecturer; apparent want of success, but is it not a real triumph? I do my work clean as I go along, and they will not be likely to want me anywhere again. So there is no danger of my repeating myself, and getting to a barrel of sermons, which you must upset, and begin again with.”
—Henry David Thoreau (18171862)