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词条 Jürgen Neukirch
释义

  1. Education and career

  2. Contributions

  3. Books

  4. Notes

  5. External links

{{Use dmy dates|date=September 2013}}{{Infobox scientist
| name = Jürgen Neukirch
| image = Jürgen Neukirch.jpg
| image_size = 150px
| alt =
| caption =
| birth_date = {{Birth date|1937|07|24|df=y}}
| birth_place = Dortmund, Westphalia
| death_date = {{Death date and age|1997|02|05|1937|07|24|df=y}}
| death_place = Regensburg, Bavaria
| nationality =
| fields = Mathematics
| workplaces = University of Regensburg
| alma_mater = University of Bonn
| doctoral_advisor = Wolfgang Krull
| doctoral_students =
| known_for =
| awards =
}}

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:

  • {{cite book | first=Jürgen | last=Neukirch | title=Class Field Theory | volume=280 | series=Grundlehren der Mathematischen Wissenschaften | location=Berlin | publisher=Springer-Verlag | year=1986 | isbn=3-540-15251-2 }}[3]
  • {{cite book | first=Jürgen | last=Neukirch | title=Algebraic Number Theory | volume=322 | series=Grundlehren der Mathematischen Wissenschaften | publisher=Springer-Verlag | year=1999 | isbn=978-3-540-65399-8 | zbl=0956.11021 }}
  • {{cite book | title=Cohomology of Number Fields | volume=323 | series=Grundlehren der Mathematischen Wissenschaften | first1=Jürgen | last1=Neukirch | first2=Alexander | last2=Schmidt | first3=Kay | last3=Wingberg | edition=2nd | publisher=Springer-Verlag | year=2008 | isbn=3-540-37888-X | zbl=1136.11001 }}[4]
  • {{cite book | first=Jürgen | last=Neukirch | title=Class Field Theory — The Bonn Lectures | publisher=Springer | year=2013 | isbn=978-3-642-35436-6 }}[5]

Notes

1. ^New Listings, Number Theory Web: 2 October 1996-{{Sic|hide=y|23|th}} July 1997
2. ^U-Mail, Regensburger Universitätszeitung von 1999 – 2009 {{webarchive|url=https://web.archive.org/web/20090202134509/http://www.uni-regensburg.de/Universitaet/RUZ/archiv/ruz-9703/broecker.htm |date=2 February 2009 }}
3. ^{{cite journal|author=Hazewinkel, Michiel|title=Review: Class field theory, by Jürgen Neukirch; Local class field theory, by Kenkichi Iwasawa|journal=Bull. Amer. Math. Soc. (N.S.)|year=1989|volume=21|issue=1|pages=95–101|url=http://www.ams.org/journals/bull/1989-21-01/S0273-0979-1989-15772-8/|doi=10.1090/s0273-0979-1989-15772-8}}
4. ^{{cite journal|author=Gouvêa, Fernando Q.|authorlink= Fernando Q. Gouvêa |title=Review: Cohomology of number theory, by Jürgen Neukirch, Alexander Schmidt, and Kay Wingberg|journal=Bull. Amer. Math. Soc. (N.S.)|year=2002|volume=39|issue=1|pages=101–107|url=http://www.ams.org/journals/bull/2002-39-01/S0273-0979-01-00924-7/ | doi = 10.1090/S0273-0979-01-00924-7}}
5. ^{{cite web|title=Review of Class Field Theory — The Bonn Lectures by Jürgen Neukirch|date=8 August 2013|website=MAA Reviews, Mathematical Association of America|author=Gouvêa, Fernando Q.|url=https://www.maa.org/press/maa-reviews/class-field-theory-the-bonn-lectures}}

External links

  • {{MathGenealogy |id=18327 }}
  • [https://web.archive.org/web/20090202134509/http://www.uni-regensburg.de/Universitaet/RUZ/archiv/ruz-9703/broecker.htm On Neukirch's death] (in German)
  • {{DNB-Portal|117716839}}
{{Authority control}}{{DEFAULTSORT:Neukirch, Jurgen}}

5 : 1937 births|1997 deaths|20th-century mathematicians|Number theorists|German mathematicians

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