Gunnar Carlsson

from Wikipedia, the free encyclopedia
Gunnar Carlsson, Oberwolfach 2008

Gunnar E. Carlsson (born August 22, 1952 in Stockholm ) is a Swedish mathematician who deals with algebraic topology .

Live and act

Carlsson studied at Harvard University ( bachelor's degree 1973) and received his doctorate in 1976 from Stanford University under R. James Milgram ( Operations in Connective K-Theory and Associated Cohomology Theories ). From 1976 he was Leonard Dickson Instructor at the University of Chicago and from 1978 first assistant professor , from 1981 associate professor and from 1983 professor at the University of California, San Diego . 1986 to 1991 he was a professor at Princeton University and from 1991 at Stanford University. He was visiting scholar at MSRI in Berkeley in 1989 and 2006 .

Carlsson proved the generalized Sullivan conjecture in the 1980s , independently of Jean Lannes and Haynes Miller . In 1984 he proved a conjecture by Graeme Segal ( Segal conjecture or Segal's Burnside Ring conjecture), which connects the Burnside ring of a finite group with the stable cohomotopy of its classifying space . He also dealt with algebraic K-theory and topological studies of high-dimensional data manifolds, for example in shape recognition, as well as with mathematics didactics.

1983 to 1987 he was a Sloan Research Fellow . From 1988 to 1998 he was co-editor of the Mathematische Zeitschrift. He is a fellow of the American Mathematical Society .

In 1986 he was invited speaker at the International Congress of Mathematicians in Berkeley ( Segal's Burnside ring conjecture and related problems in topology ).

Fonts

  • with Ralph L. Cohen : The What, Where and Why of Mathematics. A handbook for teachers . 1991.
  • with Ralph L. Cohen : Topics in Algebra . 1999.
  • with Carne Barnett-Clarke, Debra Coggins, Bill Honig, Drew Kraven: A mathematics source book for elementary and middle school teachers. Key concepts, teaching concepts and learning pitfalls . Bay Area Mathematics Task Force Report.
  • Equivariant stable homotopy and Sullivan's conjecture , Inventiones Mathematicae, Volume 103, 1991, pp. 497-525
  • Equivariant stable homotopy and Segal's Burnside ring conjecture , Annals of Mathematics, Volume 120, 1984, pp. 189-224.

Web links

Individual evidence

  1. ↑ see Robert Ghrist Bar Codes - the persistent topology of data , Bulletin AMS, Vol. 45, 2008, p. 61, Online , Carlsson Topology and Data , Bulletin AMS, 2009
personal data
SURNAME Carlsson, Gunnar
ALTERNATIVE NAMES Carlsson, Gunnar E.
BRIEF DESCRIPTION Swedish mathematician
DATE OF BIRTH 22nd August 1952
PLACE OF BIRTH Stockholm