Karl Heinrich Hofmann
Karl Heinrich Hofmann (born October 3, 1932 in Heilbronn ) is a German mathematician.
Hofmann studied from 1952 at the University of Hamburg and the University of Tübingen with the teaching degree in 1957 in Tübingen and his doctorate in 1958 with Hellmuth Kneser ( non-associative topological-algebraic structures ). In 1962 he completed his habilitation in Tübingen. In 1963 he became an associate professor and in 1965 a professor at Tulane University . In 1966 he became a Sloan Research Fellow . Since 1982 he has been a professor at the TH Darmstadt (or TU Darmstadt since it was renamed in 1997), and since 1998 as professor emeritus.
In 1967/68 he was at the Institute for Advanced Study . Among other things, he was visiting professor at the University of Paris VI (1973/74), at La Trobe University in Melbourne , in Tübingen (1966), at the Catholic University of Leuven and at the University of Ballarat in Victoria (Australia) .
Hofmann deals with topological algebra and functional analysis , especially topological groups and semigroups and Lie theory.
He also emerged as an illustrator of mathematical texts (for example in the Book of Evidence ).
He is a fellow of the American Mathematical Society . 1970 to 1998 he was editor of the Semigroup Forum and 1990 to 1998 of the Journal of Lie Theory. In 2005 he and Gerhard Betsch published the mathematical works of his teacher Hellmuth Kneser.
Between 1963 and 2001 Hofmann supervised 37 mathematicians as doctoral supervisors during their doctorate.
He has been married since 1963 and has two children.
Fonts
- with Sidney A. Morris: The structure of compact groups, De Gruyter 1998, 2nd edition 2005, 3rd edition 2013
- with Sidney A. Morris: The Lie Theory of Connected Pro-Lie Groups - A Structure Theory for Pro-Lie Algebras, Pro-Lie Groups and Connected Locally Compact Groups, EMS, Zurich 2007
- with G. Gierz, K. Keimel, JD Lawson, M. Mislove, D. Scott: Continuous Lattices and Domains, Encyclopedia of Mathematics and its Applications, Cambridge University Press 2003
- Analysis I, Heldermann Verlag, Lemgo 2000
- with WAF Ruppert: Lie Groups and Subsemigroups with Surjective Exponential Functions, Memoirs AMS 130, 1997
- with J. Hilgert, JD Lawson: Lie Groups, Convex Cones, and Semigroups, Oxford University Press 1989
- with G. Gierz, K. Keimel, JD Lawson, M. Mislove, D. Scott: A compendium of continuous lattices, Springer Verlag 1980
- with PS Mostert: Cohomology Theory of Compact Abelian Groups, Deutscher Verlag der Wissenschaften 1973, Springer Verlag 1973
- with J. Dauns: Representation of Rings by Sections, Memoirs AMS 83, 1968
- with J. Berglund: Compact Semitopological Semigroups and Weakly Almost Periodic Functions, Lecture Notes in Mathematics 42, Springer Verlag 1967
- with PS Mostert: Elements of compact semigroups, Columbus / Ohio: Charles Merrill 1966
- with PS Mostert: Splitting in topological groups, Memoirs AMS 43, 1963
Web links
- Homepage at TU Darmstadt (English)
- Oberwolfach Photo Collection
- Gallery of the colloquium posters of the mathematics department of the TU Darmstadt , all drawn by Hofmann
Individual evidence
- ^ Karl Heinrich Hofmann in the Mathematics Genealogy Project (English)
| personal data | |
|---|---|
| SURNAME | Hofmann, Karl Heinrich |
| BRIEF DESCRIPTION | German mathematician |
| DATE OF BIRTH | October 3, 1932 |
| PLACE OF BIRTH | Heilbronn |