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:
“when I work I am pure as an angel
tiger and clear is my eye and hot
my brain and silent all the whining
grunting piglets of the appetites.”
—Marge Piercy (b. 1936)
“What you would work me to, I have some aim.”
—William Shakespeare (1564–1616)
“I can’t work without a model. I won’t say I turn my back on nature ruthlessly in order to turn a study into a picture, arranging the colors, enlarging and simplifying; but in the matter of form I am too afraid of departing from the possible and the true.”
—Vincent Van Gogh (1853–1890)