Jürgen Neukirch

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Jürgen Neukirch
Jürgen Neukirch.jpg
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.

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.

Notes[edit]

  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. ^ Neukirch, Jürgen (1986). Class Field Theory. Grundlehren der Mathematischen Wissenschaften. 280. Berlin: Springer-Verlag. ISBN 3-540-15251-2. 
  4. ^ 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. 
  5. ^ Neukirch, Jürgen (1999). Algebraic Number Theory. Grundlehren der Mathematischen Wissenschaften. 322. Springer-Verlag. ISBN 978-3-540-65399-8. Zbl 0956.11021. 
  6. ^ 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. 
  7. ^ 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. 

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