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Horst Schubert

Horst Schubert (11 June 1919 – 2001)[1] was a German mathematician.

Schubert was born in Chemnitz and studied mathematics and physics at the Universities of Frankfurt am Main, Zürich and Heidelberg, where in 1948 he received his PhD under Herbert Seifert with thesis Die eindeutige Zerlegbarkeit eines Knotens in Primknoten.[2][3] From 1948 to 1956 Schubert was an assistant in Heidelberg, where he received in 1952 his habilitation qualification. From 1959 he was a professor extraordinarius and from 1962 a professor ordinarius at the University of Kiel. From 1969 to 1984 he was a professor at the University of Düsseldorf.

In 1949 he published his proof that every oriented knot in decomposes as a connect-sum of prime knots in a unique way, up to reordering.[4] After this proof he found a new proof based on his study of incompressible tori in knot complements; he published this work Knoten und Vollringe in Acta Mathematica, where he defined satellite and companion knots.[5] His doctoral students include Theodor Bröcker.

World War II work edit

During World War II Schubert worked as a mathematician and cryptoanalyst in the Wehrmacht signals intelligence organisation, General der Nachrichtenaufklärung as an expert on Russian and Polish Army Ciphers and Codes as well as Agents codes and ciphers,[6] obtaining the rank of lieutenant (German: Leutnant).[7]

Selected works edit

  • Kategorien. 2 vols. Springer, 1970 (trans. into Eng. by Eva Gray: Categories. Springer-Verlag, 1972 ISBN 0387057838)
  • Topologie- Eine Einführung. Teubner, 1969, 3rd edn. 1971 (trans. into Eng. by Siegfried Moran: Topology. Macdonald & Co. 1968 ISBN 0356020770)
  • Knoten, Jahresbericht DMV, vol. 69, 1967/68, p. 184

See also edit

References edit

  1. ^ Bonahon, Francis (2009-07-14). Low-Dimensional Geometry: From Euclidean Surfaces to Hyperbolic Knots. ISBN 9780821848166.
  2. ^ Die eindeutige Zerlegbarkeit eines Knotens in Primknoten, dissertation published 1 Jan. 1949
  3. ^ Horst Schubert at the Mathematics Genealogy Project
  4. ^ Schubert, H. Die eindeutige Zerlegbarkeit eines Knotens in Primknoten. S.-B Heidelberger Akad. Wiss. Math.-Nat. Kl. 1949 (1949), 57–104.
  5. ^ Schubert, H. Knoten und Vollringe. Acta Math. 90 (1953), 131–286.
  6. ^ "Volume 4 - Signal Intelligence Service of the Army High Command" (PDF). NSA. Retrieved 12 November 2016.  This article incorporates text from this source, which is in the public domain.
  7. ^ TICOM I-15 Introgation Report of Oberleutnant Horst Schubert

horst, schubert, june, 1919, 2001, german, mathematician, schubert, born, chemnitz, studied, mathematics, physics, universities, frankfurt, main, zürich, heidelberg, where, 1948, received, under, herbert, seifert, with, thesis, eindeutige, zerlegbarkeit, eines. Horst Schubert 11 June 1919 2001 1 was a German mathematician Schubert was born in Chemnitz and studied mathematics and physics at the Universities of Frankfurt am Main Zurich and Heidelberg where in 1948 he received his PhD under Herbert Seifert with thesis Die eindeutige Zerlegbarkeit eines Knotens in Primknoten 2 3 From 1948 to 1956 Schubert was an assistant in Heidelberg where he received in 1952 his habilitation qualification From 1959 he was a professor extraordinarius and from 1962 a professor ordinarius at the University of Kiel From 1969 to 1984 he was a professor at the University of Dusseldorf In 1949 he published his proof that every oriented knot in S 3 displaystyle S 3 decomposes as a connect sum of prime knots in a unique way up to reordering 4 After this proof he found a new proof based on his study of incompressible tori in knot complements he published this work Knoten und Vollringe in Acta Mathematica where he defined satellite and companion knots 5 His doctoral students include Theodor Brocker Contents 1 World War II work 2 Selected works 3 See also 4 ReferencesWorld War II work editDuring World War II Schubert worked as a mathematician and cryptoanalyst in the Wehrmacht signals intelligence organisation General der Nachrichtenaufklarung as an expert on Russian and Polish Army Ciphers and Codes as well as Agents codes and ciphers 6 obtaining the rank of lieutenant German Leutnant 7 Selected works editKategorien 2 vols Springer 1970 trans into Eng by Eva Gray Categories Springer Verlag 1972 ISBN 0387057838 Topologie Eine Einfuhrung Teubner 1969 3rd edn 1971 trans into Eng by Siegfried Moran Topology Macdonald amp Co 1968 ISBN 0356020770 Knoten Jahresbericht DMV vol 69 1967 68 p 184See also editSatellite knotReferences edit Bonahon Francis 2009 07 14 Low Dimensional Geometry From Euclidean Surfaces to Hyperbolic Knots ISBN 9780821848166 Die eindeutige Zerlegbarkeit eines Knotens in Primknoten dissertation published 1 Jan 1949 Horst Schubert at the Mathematics Genealogy Project Schubert H Die eindeutige Zerlegbarkeit eines Knotens in Primknoten S B Heidelberger Akad Wiss Math Nat Kl 1949 1949 57 104 Schubert H Knoten und Vollringe Acta Math 90 1953 131 286 Volume 4 Signal Intelligence Service of the Army High Command PDF NSA Retrieved 12 November 2016 nbsp This article incorporates text from this source which is in the public domain TICOM I 15 Introgation Report of Oberleutnant Horst Schubert Retrieved from https en wikipedia org w index php title Horst Schubert amp oldid 1100646227, wikipedia, wiki, book, books, library,

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