Gunnar Carlsson

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

Life and work

Carlsson studied at Harvard University ( BA 1973) and his doctorate in 1976 at Stanford University by 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, Associate Professor from 1981 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 1989 and 2006 Guest Scientist at the MSRI in Berkeley.

Carlsson showed in the 1980s the generalized Sullivan conjecture, regardless of Jean Lannes and Haynes Miller. He also dealt with algebraic K-theory and topological investigations of high-dimensional data manifolds, for example in the form of recognition as well as mathematics education.

1983 to 1987 he was a Sloan Fellow. 1988 to 1998 he was co-editor of Mathematische Zeitschrift.

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

Writings

• Ralph L. Cohen: The What, Where and Why of Mathematics. A handbook for Teachers. In 1991.
• Ralph L. Cohen: Topics in Algebra. In 1999.
• With Carne Barnett -Clarke, Debra Coggins, Bill honey, 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