Joachim Cuntz

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Joachim Cuntz at the Mathematical Research Institute Oberwolfach 2007

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

Life

After graduating from high school in Tauberbischofsheim in 1967 and doing military service, Cuntz studied mathematics and physics in Heidelberg and Paris . In 1974 he made his diploma in Heidelberg and received his doctorate in 1975 in Bielefeld under Horst Behncke ( local properties of operator algebras ). In 1977 he completed his habilitation at the TU Berlin .

From 1976 to 1978 he was assistant professor at the TU Berlin. In 1978 he took up a position at the SFB 123 in Heidelberg, which he held until 1981. From 1982 to 1985 Cuntz was Associate Professor at the University of Pennsylvania , from 1985 Adjunct Professor there. 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 stayed there until 1997, when he was appointed full professor at the Westphalian Wilhelms University in Münster . Cuntz has been married since 1973 and has three children.

He is a fellow of the American Mathematical Society . In 2014 he was elected to the Leopoldina . The German diplomat Eckart Cuntz is his brother.

plant

Joachim Cuntz has made fundamental contributions to the field of C * -algebras and to the new field of non-commutative geometry (in the sense of Alain Connes ) and helped build these fields. In particular, he initiated the structure theory of simple C * algebras and introduced decisive new examples and methods there (such as the Cuntz algebras and the Cuntz semigroup). He was one of the first to apply the methods of K-theory to non-commutative algebras and helped develop this theory from the ground up. In collaboration with Daniel Quillen he established a new approach to cyclic cohomology and proved the clipping property of the periodic cyclic theory. For several years he has been primarily concerned with the study of algebras that are related to structures from number theory.

Prizes and awards

Fonts

  • 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.
  • Bivariate 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 , Annual Report DMV, Volume 95, Heft 2, 1993
  • with Georges Skandalis , Boris Tsygan: Cyclic homology in non-commutative geometry , in Cuntz, Vaughan Jones (editor) Operators algebras and non-commutative geometry , Volume 2, Encyclopaedia of Mathematical Sciences, Springer Verlag (in it by Cuntz: Cyclic theory, bivariant K-theory and the bivariant Chern-Connes Character )
  • Connes, Cuntz et al. a. Noncommutative geometry. Lectures at the CIME school, Martina Franca, September 2000 , Lecture notes in Mathematics, Volume 1831, 2004, Springer Verlag, therein by 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 1995, Fields Institute)

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ↑ Member entry by Prof. Dr. Joachim Cuntz (with picture and CV) at the German Academy of Natural Scientists Leopoldina , accessed on June 7, 2016.


personal data
SURNAME Cuntz, Joachim
BRIEF DESCRIPTION German mathematician, university professor
DATE OF BIRTH September 28, 1948
PLACE OF BIRTH Mannheim