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:
“No man can call himself liberal, or radical, or even a conservative advocate of fair play, if his work depends in any way on the unpaid or underpaid labor of women at home, or in the office.”
—Gloria Steinem (b. 1934)
“The work was like peeling an onion. The outer skin came off with difficulty ... but in no time you’d be down to its innards, tears streaming from your eyes as more and more beautiful reductions became possible.”
—Edward Blishen (b. 1920)
“Auld Nature swears, the lovely Dears
Her noblest work she classes, O:
Her prentice han’ she try’d on man,
An’ then she made the lasses, O.”
—Robert Burns (1759–1796)