Joachim Cuntz


Joachim Cuntz is a German mathematician, currently a professor at the University of Münster.

Work

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.
His doctoral students include Wilhelm Winter.

Awards and honors