Jürgen Neukirch
| Jürgen Neukirch | |
|---|---|
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| Born | 24 July 1937 Dortmund, Westphalia |
| Died | 5 February 1997 (aged 59) Regensburg, Bavaria |
| Fields | Mathematics |
| Institutions | University of Regensburg |
| Alma mater | University of Bonn |
| Doctoral advisor | Wolfgang Krull |
| Doctoral students | Pilar Bayer Isant Uwe Jannsen Peter Schneider Michael Spieß |
Jürgen Neukirch (24 July 1937 – 5 February 1997[1]) was a German mathematician known for his work on algebraic number theory.
He got his diploma in mathematics in 1964 in Bonn, for his PhD thesis 1965 (advisor: Wolfgang Krull) he was awarded the Felix-Hausdorff-Gedächtnis-Preis and habilitated one year later. From 1967 to 1969 he was guest professor in Kingston, Ontario (Canada) and in Cambridge/Mass. (USA), then professor in Bonn. In 1971 he moved to Regensburg university.[2]
He is known for his work on the embedding problem in algebraic number theory, the Báyer–Neukirch theorem on special values of L-functions, arithmetic Riemann existence theorems and the Neukirch–Uchida–Pop theorem in birational anabelian geometry. He gave a simple description of the reciprocity maps in local and global class field theory.
He wrote three books on class field theory,[3][4] algebraic number theory,[5] and the cohomology of number fields,[6][7] respectively.
Among his students were Uwe Jannsen, Peter Schneider and Michael Spieß.
Notes
- ^ New Listings, Number Theory Web: 2nd October 1996-23th July 1997
- ^ U-Mail, Regensburger Universitätszeitung von 1999 – 2009
- ^ Neukirch, Jürgen (1986). Class Field Theory. Grundlehren der Mathematischen Wissenschaften 280. Berlin: Springer-Verlag. ISBN 3-540-15251-2.
- ^ Hazewinkel, Michiel (1989). "Review: Class field theory, by Jürgen Neukirch; Local class field theory, by Kenkichi Iwasawa". Bull. Amer. Math. Soc. (N.S.) 21 (1): 95–101.
- ^ Neukirch, Jürgen (1999). Algebraic Number Theory. Grundlehren der Mathematischen Wissenschaften 322. Springer-Verlag. ISBN 978-3-540-65399-8. Zbl 0956.11021.
- ^ Neukirch, Jürgen; Schmidt, Alexander; Wingberg, Kay (2008). Cohomology of Number Fields. Grundlehren der Mathematischen Wissenschaften 323 (2nd ed.). Springer-Verlag. ISBN 3-540-37888-X. Zbl 1136.11001.
- ^ Gouvêa, Fernando Q. (2002). "Review: Cohomology of number theory, by Jürgen Neukirch, Alexander Schmidt, and Kay Wingberg". Bull. Amer. Math. Soc. (N.S.) 39 (1): 101–107.
External links
- Jürgen Neukirch at the Mathematics Genealogy Project
- On Neukirch's death (in German)
- Literature by and about Jürgen Neukirch in the German National Library catalogue
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