Jürgen Neukirch

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Jürgen Neukirch
Jürgen Neukirch.jpg
Born(1937-07-24)24 July 1937
Dortmund, Westphalia
Died5 February 1997(1997-02-05) (aged 59)
Regensburg, Bavaria
Alma materUniversity of Bonn
Scientific career
FieldsMathematics
InstitutionsUniversity of Regensburg
Doctoral advisorWolfgang Krull
Doctoral studentsPilar Bayer
Peter Schneider

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 received his diploma in mathematics in 1964 from the University of Bonn. For his Ph.D. thesis, written under the direction of Wolfgang Krull, he was awarded in 1965 the . He completed his habilitation one year later. From 1967 to 1969 he was guest professor at Queen's University in Kingston, Ontario and at the Massachusetts Institute of Technology in Cambridge, Massachusetts, after which he was a professor in Bonn. In 1971 he became a professor at the University of Regensburg.[2]

Contributions[]

He is known for his work on the embedding problem in algebraic number theory, the 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 978-3-540-37888-4. 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-{{Sic|hide=y|23|th}} July 1997". Archived from the original on 9 May 2008. Retrieved 17 May 2008.
  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". Bulletin of the American Mathematical Society. New Series. 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". Bulletin of the American Mathematical Society. New Series. 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.

External links[]

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