Joachim Cuntz

Joachim Cuntz in Oberwolfach

Joachim Cuntz (born 28 September 1948 in Mannheim) is a German mathematician. Joachim Cuntz has made fundamental contributions to the area of C*-algebras and to the new field of noncommutative geometry in the sense of A. Connes. He has initiated the analysis of the structure of simple C*-algebras and has introduced there decisive new methods and examples (such as the Cuntz algebras and the Cuntz semigroup). He has been one of the first to apply K-theory to noncommutative operator algebras and has contributed to the development of that theory from the start. In collaboration with D. Quillen he has developed a new approach to cyclic cohomology and has proved the excision property of periodic cyclic theory. In recent years he is working mainly on C*-algebras that are related to structures from number theory.^[1][2]

Awards and honors

• 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 DFG 1999,
• Honorary doctorate from the University of Copenhagen
• ERC Advanced Investigators Grant, 2010
• Fellow of the American Mathematical Society, 2012^[3]

See also

• Cuntz algebra

References

Further reading

• Joachim Cuntz, Georges Skandalis, Boris Tsygan (13 November 2011). Cyclic Homology in Non-Commutative Geometry (Encyclopaedia of Mathematical Sciences). ISBN 3642073379.