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.
Read more about this topic: Alain Connes
Famous quotes containing the word work:
“Poets that lasting Marble seek
Must carve in Latine or in Greek,
We write in Sand, our Language grows,
And like the Tide our work o’erflows.”
—Edmund Waller (1606–1687)
“You should go to picture-galleries and museums of sculpture to be acted upon, and not to express or try to form your own perfectly futile opinion. It makes no difference to you or the world what you may think of any work of art. That is not the question; the point is how it affects you. The picture is the judge of your capacity, not you of its excellence; the world has long ago passed its judgment upon it, and now it is for the work to estimate you.”
—Anna C. Brackett (1836–1911)
“A hundred cabinet-makers in London can work a table or a chair equally well; but no one poet can write verses with such spirit and elegance as Mr. Pope.”
—David Hume (1711–1776)