24 July 1937|
|Died||5 February 1997
|Institutions||University of Regensburg|
|Alma mater||University of Bonn|
|Doctoral advisor||Wolfgang Krull|
|Doctoral students||Pilar Bayer Isant
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.
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.
Among his students were Uwe Jannsen, Peter Schneider and Michael Spieß.
- 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.
- 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