Klaus Johannson

Klaus Johannson (born September 3, 1948 ) is a German mathematician specializing in topology .

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In 1976 Johannson did his doctorate in Bielefeld on Tori and Annuli in 3-Manifolds with Friedhelm Waldhausen . In 1978 he completed his habilitation in Bielefeld. From 1984 to 2001, Johannson was a lecturer at several American universities, including Columbia University in New York, the University of Oklahoma and the University of Tennessee . He has been working at the Johann Wolfgang Goethe University in Frankfurt am Main since 2001 and taught there until 2014.

Johannson was best known for his proof of the JSJ decomposition, which he completed in 1979 . In the same year this also succeeded, independently of him, William Jaco and Peter Shalen .

Works

• 1975: Tori and annuli in 3-manifolds
• 1979: Homotopy equivalences of 3-manifolds with boundaries , Lecture Notes in Mathematics, 761. Springer, Berlin, 1979. ii + 303 pp. ISBN 3-540-09714-7 . (Including construction of the JSJ decomposition.)
• 1995: Topology and combinatorics of 3-manifolds , Lecture Notes in Mathematics, 1599. Springer-Verlag, Berlin, 1995. xviii + 446 pp. ISBN 3-540-59063-3 (Including proof of the Waldhausen conjecture for hook manifolds .)

Web links

• official homepage