Helmut Koch (mathematician)

from Wikipedia, the free encyclopedia

Helmut Koch (born October 5, 1932 in Potsdam ) is a German mathematician who deals with number theory.

Cook (left) in Schafarevich's (right) apartment, with Bogomolov , AN Todorov

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

Web links

Remarks

  1. ↑ He also translated the classic textbook "Number Theory" by Borewitsch and Schafarewitsch into German.
  2. ↑ Cf. Gabriele Dörflinger: Mathematics in the Heidelberg Academy of Sciences . 2014, p. 32.
personal data
SURNAME Koch, Helmut
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH October 5, 1932
PLACE OF BIRTH Potsdam