Joachim Cuntz

Joachim Cuntz ( born September 28, 1948 in Mannheim ) is a German mathematician.

Life

After graduating from high school in 1967 in Tauberbischofsheim and military service Cuntz studied mathematics and physics in Heidelberg and Paris. In 1974 he received his diploma in Heidelberg and received his doctorate in 1975 in Bielefeld at Horst Behncke ( Local properties of operator algebras ). This was followed in 1977 Habilitation at the TU Berlin.

From 1976 to 1978 he was assistant professor at the Technical University Berlin. In 1978, he went to a place in the SFB 123, Heidelberg, which he held until 1981. From 1982 to 1985 Cuntz was an associate professor at the University of Pennsylvania, from 1985 there Adjunct Professor. In 1984 he became a professor at the University of the Mediterranean Aix -Marseille II and in 1988 full professor at the University of Heidelberg. He remained there until 1997, when he was appointed a full professor at the Westfälische Wilhelms- University in Münster ( Westphalia). Cuntz has been married since 1973 and has three children.

He is a Fellow of the American Mathematical Society. The German diplomat Eckart Cuntz is his brother.

Work

The research focus of Joachim Cuntz is the theory of operator algebras and noncommutative geometry, with contributions particularly regarding the structure of simple C *-algebras, the K - theory and cyclic homology.

Prizes and awards

Writings

• With W. Krieger: A class of- algebras and topological Markov chains. I: Invent. Math 56 (1980 ), no 3, 251-268; II: ibid. 63 (1981 ), no 1, 25-40.
• K -theory for certain - algebras. Ann. of Math (2 ) 113 (1981 ), no 1, 181-197.
• With D. Quillen: Cyclic Algebra extensions and nonsingularity. J. Amer. Math Soc. 8 (1995 ), no 2, 251-289.
• With D. Quillen: Cyclic homology and nonsingularity. J. Amer. Math Soc. 8 (1995 ), no 2, 373-442.
• With D. Quillen: Excision in bivariant periodic cyclic cohomology. Invent. Math 127 (1997), no 1, 67-98.
• Bivariant - theory for locally convex algebras and the Chern - Connes character. Doc. Math 2 (1997), 139-182
• A survey of some aspects of non commutative geometry, DMV Annual Report, Volume 95, Issue 2, 1993
• With Georges Skandalis, Boris Tsygan: Cyclic homology in non- commutative geometry, in Cuntz, Vaughan Jones (Editor) operator algebras and non- commutative geometry, Volume 2, Encyclopaedia of Mathematical Sciences, Springer Verlag ( therein of Cuntz: Cyclic theory, bivariant K -theory and the bivariant Chern - Connes Character )
• Connes, Cuntz et al Noncommutative geometry. Lectures at the CIME school, Martina Franca, September 2000, Lecture notes in Mathematics, Vol 1831, 2004, Springer Verlag, is of Cuntz: Cyclic cohomology, non commutative geometry and quantum group symmetries, Cyclic theory and the bivariant Chern - Connes character
• As editor Cyclic homology and non- commutative geometry, American Mathematical Society 1997 ( Workshop Waterloo / Ontario in 1995, Fields Institute)