Martin Kneser

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Martin Kneser, 1973

Martin Kneser (born January 21, 1928 in Greifswald ; † February 16, 2004 in Göttingen ) was a German mathematician who dealt with algebra (especially square forms).

life and work

Martin Kneser was the son of the mathematician Hellmuth Kneser and grandson of Adolf Kneser . He studied from 1945 in Tübingen , Göttingen and Berlin and received his doctorate in Berlin in 1950 with Erhard Schmidt with the dissertation on the edge of parallel bodies. In 1951 Kneser was an assistant at the University of Münster with Martin Eichler and from 1952 in Heidelberg , where he completed his habilitation in 1953 with the work Estimation of the Asymptotic Density of Sum Quantities and taught as a private lecturer until 1958. From April 1 to December 31, 1958, he was an associate professor for mathematics at the Saarland University in Saarbrücken. From 1959 he was professor in Munich and from 1963 until his retirement in 1993 in Göttingen.

In 1966 he became a member of the Leopoldina , in 1967 a member of the Academy of Sciences in Göttingen and in 1983 a corresponding member of the Braunschweigische Wissenschaftliche Gesellschaft . In 1981 Martin Kneser received the Carl Friedrich Gauß Medal , and in 1997 he was awarded the Karl Georg Christian von Staudt Prize for his contributions to the theory of quadratic forms.

He mainly worked on the theory of quadratic forms and algebraic groups. He also dealt with graph theory (the Kneser graphs, which he examined in 1955, are named after him) and in 1981 simplified the constructive proof of the fundamental theorem of algebra by his father Hellmuth Kneser (1940). The Kneser conjecture named after him led to the development of topological combinatorics . It can also be formulated as a conjecture about the chromatic number of so-called Kneser graphs and was proven by László Lovász in 1978 .

His doctoral students include Hans-Volker Niemeier , Albrecht Pfister , Norbert Schappacher and Ulrich Stuhler .

His estate is kept by the Central Archives of German Mathematicians' bequests at the Lower Saxony State and University Library in Göttingen .

Fonts (selection)

  • Square shapes . Revised and edited in collaboration with Rudolf Scharlau . Springer, Berlin, Heidelberg a. a., Springer 2002, ISBN 3-540-64650-7 (Lectures by Kneser in the 1970s and 1980s in Göttingen, re-edited by Scharlau).

literature

  • Ulrich Stuhler: Martin Kneser . In: Annual report of the German Mathematicians Association, Vol. 108, 2006, pp. 45–61 (with list of publications).
  • Rudolf Scharlau: Martin Kneser's Work on Quadratic Forms and Algebraic Groups . In: Ricardo Baeza et al. a. (Ed.): Quadratic Forms - Algebra, Arithmetic, and Geometry . (= Contemporary Mathematics 493). American Mathematical Society 2009, ISBN 0-8218-4648-5 , pp. 339-358 ( digital ).

Web links

Remarks

  1. ↑ Hellmuth Kneser, Der Fundamentalsatz der Algebra und der Intuitionismus, Mathematische Zeitschrift, Volume 46, 1940, pp. 287-302
  2. ↑ Reinhold Remmert, Der Fundamentalsatz der Algebra, in: Ebbinghaus u. a. (Ed.): Numbers, Springer Verlag, 2nd edition 1988, p. 93
  3. ^ M. Kneser, supplement to a work by Hellmuth Kneser on the Fundamental Theorem of Algebra, Mathematische Zeitschrift, Volume 177, 1981, pp. 285–287
  4. ↑ Your nodes are assigned to the k-element subsets of a set of n elements. Nodes are connected if the corresponding k-element subsets have no element in common.
  5. ^ Simplified evidence was found by Imre Baranyi and undergraduate student Joshua Greene (2002). Shown in Martin Aigner, Günter M. Ziegler: Proofs from the book , 4th edition. Springer, Berlin 2013, ISBN 978-3-642-00855-9 , pp. 251-256.
personal data
SURNAME Kneser, Martin
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH January 21, 1928
PLACE OF BIRTH Greifswald
DATE OF DEATH February 16, 2004
Place of death Goettingen