Peter Roquette

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Peter Roquette at the workshop “The Arithmetic of Fields” in Oberwolfach , 2006

Peter Jaques Roquette (born October 8, 1927 in Königsberg ) is a German mathematician who deals with algebraic geometry , algebra and number theory.

Live and act

Roquette studied in Erlangen , Berlin and Hamburg and was established in 1951 at the University of Hamburg with Helmut Hasse with the dissertation arithmetic proof of the Riemann hypothesis in Kongruenzfunktionenkörpern any gender doctorate in which he a new proof of the Riemann conjecture for algebraic function fields over a finite constant field ( first proven by André Weil 1940). In 1951/1952 he was an assistant at the Mathematical Research Institute Oberwolfach and from 1952 to 1954 at the University of Munich , where he completed his habilitation . From 1954 to 1956 he worked at the Institute for Advanced Study in Princeton . In 1954 he became a private lecturer in Munich and from 1956 to 1959 he held the same position in Hamburg. In 1959 he became an associate professor at the University of Saarbrücken and in the same year a full professor at the University of Tübingen . From 1967 he was a professor at the Ruprecht-Karls-Universität Heidelberg , where he retired in 1996 .

Roquette worked on number and function fields and especially on local adic fields. He also used methods of model theory (Nonstandard Arithmetic) in number theory , partly with Abraham Robinson , with whom he derived the Siegel-Mahler theorem (about the finiteness of integer points on a curve of gender ) with non-standard methods . He has also published a number of papers on the history of mathematics, particularly the schools of Helmut Hasse and Emmy Noether . Roquette was co-editor of Helmut Hasse's collected treatises in 1975 and re-edited a number theory lecture by Erich Hecke from 1920.

Roquette has been a member of the Heidelberg Academy of Sciences since 1978 and of the German Academy of Sciences Leopoldina since 1985 as well as an honorary doctorate from the University of Duisburg-Essen and an honorary member of the Mathematical Society Hamburg. In 1958 he was invited speaker at the International Congress of Mathematicians in Edinburgh (Some fundamental theorems on abelian function fields).

His doctoral students include Horst-Günter Zimmer , Wulf-Dieter Geyer , Bohuslav Diviš , Gerhard Frey , Volker Weispfenning , Henning Stichtenoth , Rainer Weissauer , Florian Pop and Franz Lemmermeyer .

Fonts

  • Analytic theory of elliptic functions over local fields . Vandenhoeck and Ruprecht 1970.
  • With Franz Lemmermeyer (editor): The correspondence of Helmut Hasse and Emmy Noether 1925 to 1935. Lower Saxony State and University Library 2006.
  • with Günther Frei (editor): Emil Artin and Helmut Hasse - the correspondence 1923-1934 , Universitätsverlag Göttingen 2008
  • The Brauer-Hasse-Noether Theorem in Historical Perspective. Writings of Mathem.-Naturwiss. Class of the Heidelberg Academy of Sciences, Springer-Verlag 2005.
  • Anthony V. Geramita, Paulo Ribenboim (Eds.): Collected Papers of Peter Roquette. 3 volumes. Queens Papers in Pure and Applied Mathematics Vol. 118, Kingston, Ontario, Queens University, 2002.
  • With Alexander Prestel: Formally -adic Fields. Lecture Notes in Mathematics, Springer-Verlag 1984.
  • Contributions to the History of Number Theory in the 20th Century , European Mathematical Society 2013 (collection of his articles)
  • The Riemann Hypothesis in Characteristic p in Historical Perspective , Springer, Lecture notes in mathematics, 2018

Web links

References

  1. ↑ Journal for Pure and Applied Mathematics, Vol. 191, 1953, p. 199.
  2. ↑ Robinson, Roquette, J. Number Theory Vol. 7, 1975, p. 121
  3. ↑ Peter Roquette. with picture. Member entry at the Heidelberg Academy of Sciences , accessed on May 18, 2016 .
  4. ↑ Member entry by Peter Roquette (with picture) at the German Academy of Natural Scientists Leopoldina , accessed on February 18, 2016.
personal data
SURNAME Roquette, Peter
ALTERNATIVE NAMES Roquette, Peter Jaques (full name)
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH October 8, 1927
PLACE OF BIRTH Koenigsberg