Helmut Koch (mathematician)
Helmut Koch (born October 5, 1932 in Potsdam ) is a German mathematician who deals with number theory.
![](https://upload.wikimedia.org/wikipedia/commons/thumb/8/86/Koch_Bogomolov_Todorov_Shafarevich.jpg/220px-Koch_Bogomolov_Todorov_Shafarevich.jpg)
life and work
Koch studied from 1952 to 1957 at the Humboldt University in Berlin . From 1957 to 1959 he worked at the Teltow semiconductor plant. From 1959 he was a member of the Institute for Mathematics of the Academy of Sciences of the GDR , where he received his doctorate in 1964 and completed his habilitation in 1965. He studied with Hans Reichardt and Igor Schafarewitsch (1960/61 in Moscow ). From 1969 to 1991 he was head of the research group "Algebraic Geometry and Number Theory" at the Institute for Mathematics and from 1992 to 1996 head of a corresponding working group at Humboldt University, where he has been a professor since 1992. He was on research stays at Russian universities and institutes in Moscow, Saint Petersburg , Novosibirsk and at the universities of Paris , Montreal , Edmonton , Cambridge , the ETH Zurich , the Banach Center in Warsaw and the Max Planck Institute for Mathematics in Bonn .
Koch dealt u. a. with the Galois theory of number fields (the topic of his dissertation: Galois theory of p-adic number fields ), p-extensions of number fields, cubic number fields and class field theory.
He was a member of the Academy of Sciences of the GDR and is a member of the Academy for Natural Scientists Leopoldina , the Academia Europaea , the Berlin-Brandenburg Academy of Sciences and a corresponding member of the Heidelberg Academy of Sciences . Until 1993 he was editor of the Mathematische Nachrichten .
Fonts
- with Herbert Pieper: Number theory - selected methods and results. Deutscher Verlag der Wissenschaften, Berlin 1976 (introduction)
- Number theory - algebraic numbers and functions. Vieweg 1997
- Algebraic Number Theory. 2nd edition, Springer 1997 (from Encyclopedia of mathematical sciences, editor Parschin, Schafarewitsch)
- Introduction to Mathematics - Background to School Mathematics. Springer, 2nd edition 2004, ISBN 3540203915
- Introduction to Classical Mathematics, Vol. 1 From the law of square reciprocity to the law of uniformity. Springer 1986, English: Introduction to classical mathematics - from the quadratic reciprocity law to the uniformization theorem, Kluwer 1991
- Galois theory of p-extensions. Springer 2002 (older edition: The Galois theory of p-extensions, Deutscher Verlag der Wissenschaften 1970)
- About Galois groups of p-adic number fields , Akademie Verlag 1964
literature
- Gottwald, Ilgauds, Schlote: Biographies of Important Mathematicians , Leipzig 1990
- Short biography about: Koch, Helmut . In: Who was who in the GDR? 5th edition. Volume 1. Ch. Links, Berlin 2010, ISBN 978-3-86153-561-4 .
Web links
- Literature by and about Helmut Koch in the catalog of the German National Library
- Helmut Koch at the Mathematics Genealogy Project
Remarks
- ↑ He also translated the classic textbook "Number Theory" by Borewitsch and Schafarewitsch into German.
- ↑ Cf. Gabriele Dörflinger: Mathematics in the Heidelberg Academy of Sciences . 2014, p. 32.
personal data | |
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SURNAME | Koch, Helmut |
BRIEF DESCRIPTION | German mathematician |
DATE OF BIRTH | October 5, 1932 |
PLACE OF BIRTH | Potsdam |