Jürgen Neukirch
Jürgen Neukirch (born July 24, 1937 in Dortmund , † February 5, 1997 in Regensburg ) was a German mathematician who dealt with algebraic number theory.
Live and act
Neukirch studied at the University of Bonn , where he obtained his diploma in 1964 and received his doctorate in 1965 under Wolfgang Krull . He received the Felix Hausdorff Memorial Prize for his dissertation on certain excellent infinite algebraic number fields . In 1966 he completed his habilitation. From 1967 to 1969 he was visiting professor at Queens University in Kingston in Ontario and at the Massachusetts Institute of Technology (MIT) in Cambridge (Massachusetts) . From 1971 he was a professor in Regensburg .
Neukirch worked on the embedding problem for algebraic number fields (which deals with the question of embedding an extension of an algebraic number field in a larger extension with specifications for the Galois groups), special values of L-functions and sentences (with Iwasawa , Ikeda, Uchida) , which today are assigned to Grothendieck's Anabelian geometry (that the isomorphism type of algebraic number fields emerges from their absolute Galois group). In 1992 Neukirch wrote a German-language modern standard work on algebraic number theory, which was also translated into English.
Neukirch also appeared as an amateur actor in self-written pieces and sang and conducted a chamber choir. A collection of mathematical models at the University of Regensburg can also be traced back to him.
His doctoral students include Peter Schneider , Uwe Jannsen , Robert Perlis , Volker Diekert and Michael Spieß . Christopher Deninger , who was his assistant in Regensburg from 1983 to 1989, is one of his post-doctoral candidates .
Fonts
- Algebraic Number Theory. Springer, Grundlehren der Mathematischen Wissenschaften, 1992 (English translation Springer 1999), reprint 2006, ISBN 3540375473
- with Alexander Schmidt , Kay Wingberg : Cohomology of number fields. Springer, Basic Teachings of Mathematical Sciences, 2nd edition, 2008, ISBN 978-3-540-37888-4
- Class field theory. Springer 1986,
- Class body theory , Mannheim, BI Hochschultaschenbuch 1969 (the English version of the book from 1986 has been completely revised and uses a different approach, here with group cohomology).
- About the absolute Galois group of algebraic number fields. Annual report DMV, Volume 76, 1974 // 5, pp. 18-37
- About the embedding problem of algebraic number theory. Inventiones Mathematicae , Volume 21, 1973, pp. 59-116
- Identification of the finite algebraic number fields by the Galois group of the maximally resolvable extensions. Journal für Reine und Angewandte Mathematik, Volume 238, 1969, pp. 135-147
- About the absolute Galois group of algebraic number fields , Seminaire Delange-Pisot-Poitou, Volume 13, 1971/72, Issue 2, pp. 1-19
- On solvable number fields , Inventiones Mathematicae, Volume 53, 1979, pp. 135-164
- with Pilar Bayer: On Values of Zeta Functions and l-adic Euler Characteristics, Inventiones Mathematicae, Volume 50, 1978/79, pp. 35-64
- On the theory of the nilpotent algebraic number fields , Mathematische Annalen, Volume 219, 1976, pp. 65-84
literature
- Eva-Maria Strobel: The models of the University of Regensburg- Jürgen Neukirch as a craftsman , messages DMV, 1997, No. 4
Web links
- Literature by and about Jürgen Neukirch in the catalog of the German National Library
- Theodor Bröcker : In memoriam Prof. Dr. Jürgen Neukirch ( Memento from February 2, 2009 in the Internet Archive )
Individual evidence
personal data | |
---|---|
SURNAME | Neukirch, Jürgen |
BRIEF DESCRIPTION | German mathematician |
DATE OF BIRTH | July 24, 1937 |
PLACE OF BIRTH | Dortmund |
DATE OF DEATH | February 5, 1997 |
Place of death | regensburg |