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
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.


  1. ^ New Listings, Number Theory Web: 2 October 1996-23th July 1997
  2. ^ U-Mail, Regensburger Universitätszeitung von 1999 – 2009
  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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