Connes is currently Professor at the Collège de France, IHÉS, in France, as well as at Ohio State University and Vanderbilt University. Connes’ work focuses on algebra, or what is known as “operator algebra,” an important area in functional analysis. Born in France, Connes received his undergraduate degree in Mathematics from the prestigious École normale supérieure in Paris and his Ph.D. from the University Pierre et Marie Curie.
Among other notables, Connes was a member of Bourbaki, a group of predominantly French mathematicians who formed after the First World War in response to the loss of so many mathematicians in the wake of the war. The Bourbaki group (a pseudonym—there was no person “Bourbaki”) consisted of world-class mathematicians who contributed to mathematics by taking up the task of writing major new texts. Connes is also known for fundamental work in mathematics, such as the Connes embedding problem, a problem in algebra. He is also known for the Baum-Connes conjecture and has made important contributions to differential geometry.
Connes was awarded the Fields Medal in 1982. He is a member of the French Academy of Sciences as well as the US National Academy of Sciences (and others, including Danish, Norwegian, and Russian).
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According to Wikipedia,
Alain Connes is a French mathematician, and a theoretical physicist, known for his contributions to the study of operator algebras and noncommutative geometry. He is a Professor at the Collège de France, IHÉS, Ohio State University and Vanderbilt University. He was awarded the Fields Medal in 1982.
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