Jürgen Neukirch
| Jürgen Neukirch | |
|---|---|
 | |
| 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 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: 2 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. doi:10.1090/s0273-0979-1989-15772-8.
- ↑ 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. doi:10.1090/S0273-0979-01-00924-7.
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