Career
1990 Invited speaker at the International Congress of Mathematicians in Kyoto (Cyclic Cohomology and K-homology).
1990 Invited speaker at the International Congress of Mathematicians in Kyoto (Cyclic Cohomology and K-homology).
1990 Invited speaker at the International Congress of Mathematicians in Kyoto (Cyclic Cohomology and K-homology). Max Planck Research Award (together with G Kasparov), 1993 Medal of the Collège de France, 1997 Gottfried Wilhelm Leibniz Prize of the German Research Foundation (Deutsche Forschungsgemeinschaft) 1999, Honorary doctorate from the University of Copenhagen European Research Council Advanced Investigators Grant, 2010 Fellow of the American Mathematical Society, 2012.
Joachim Cuntz has made fundamental contributions to the area of C*-algebras and to the field of noncommutative geometry in the sense of Alain Connes. He initiated the analysis of the structure of simple C*-algebras and introduced new methods and examples, including the Cuntz algebras and the Cuntz semigroup. He was one of the first to apply K-theory to noncommutative operator algebras and contributed to the development of that theory.
In collaboration with Daniel Quillen, he developed a new approach to cyclic cohomology and proved the excision property of periodic cyclic theory. In recent years, he has been working mainly on C*-algebras that are related to structures from number theory.
American Mathematical Society.