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:
“There never has been a time in our history when work was so abundant or when wages were as high, whether measured by the currency in which they are paid or by their power to supply the necessaries and comforts of life.”
—Benjamin Harrison (1833–1901)
“Not rarely, and this is especially true of wives and mothers, the motive behind assuming a disproportionate share of work and responsibility is completely unselfish. We want to protect, to spare those of whom we are fond. We forget that, regardless of the motive, the results of such action are almost always destructive and unproductive.”
—Hortense Odlum (1892–?)
“You say that you do not succeed much. Does it concern you enough that you do not? Do you work hard enough at it? Do you get the benefit of discipline out of it? If so persevere. Is it a more serious thing than to walk a thousand miles in a thousand successive hours? Do you get any corns by it? Do you ever think of hanging yourself on account of failure?”
—Henry David Thoreau (1817–1862)