Jürgen Neukirch

Jürgen Neukirch
Born (1937-07-24)24 July 1937
Dortmund, Westphalia
Died 5 February 1997(1997-02-05) (aged 59)
Regensburg, Bavaria
Alma mater University of Bonn
Scientific career
Fields Mathematics
Institutions University of Regensburg
Doctoral advisor Wolfgang Krull

Jürgen Neukirch (24 July 1937 – 5 February 1997[1]) was a German mathematician known for his work on algebraic number theory.

Education and career

Neukirch 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. He completed his habilitation 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]

Contributions

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.

Books

Neukirch wrote three books on class field theory, algebraic number theory, and the cohomology of number fields:

  • Neukirch, Jürgen (1986). Class Field Theory. Grundlehren der Mathematischen Wissenschaften. 280. Berlin: Springer-Verlag. ISBN 3-540-15251-2. [3]
  • 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. [4]
  • Neukirch, Jürgen (2013). Class Field Theory — The Bonn Lectures. Springer. ISBN 978-3-642-35436-6. [5]

Notes

  1. ↑ New Listings, Number Theory Web: 2 October 1996-23th July 1997
  2. ↑ U-Mail, Regensburger Universitätszeitung von 1999 – 2009 Archived 2 February 2009 at the Wayback Machine.
  3. ↑ 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.
  4. ↑ 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.
  5. ↑ Gouvêa, Fernando Q. (8 August 2013). "Review of Class Field Theory — The Bonn Lectures by Jürgen Neukirch". MAA Reviews, Mathematical Association of America.
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