Egbert Brieskorn

Egbert Brieskorn Valentin (* July 7, 1936 in Rostock, † July 11, 2013 in Bonn ) was a German mathematician.

Life and work

Brieskorn was born in 1936 the son of a mill construction engineer from East Prussia. He grew up in Freudenberg (winner country) and studied mathematics and physics in Munich and Bonn. In 1963 he received his doctorate in Bonn Friedrich Hirzebruch on singularities (For differential- and analytical classification of certain algebraic manifolds ), followed by the habilitation in 1968. From 1969 to 1973 he was professor at Göttingen and from 1973 to 1975 at the Sonderforschungsbereich Theoretische Mathematik in Bonn (since 1980 Max Planck Institute for Mathematics ). 1975 until his retirement in 2001 he was a professor in Bonn. These visits abroad were such as the Massachusetts Institute of Technology (MIT) (where he was in 1965 Moore Instructor ) and at the Institut des Hautes Études Scientifiques ( IHES ) at the Swiss Federal Institute of Technology Zurich (ETH Zurich ), Leiden University, the University of Oxford, Warwick University, the University of Liverpool and the University of Nice.

Brieskorn dealt with the geometry of singularities in differential topology in holomorphic maps and in algebraic geometry, with contexts, for example to Dynkindiagrammen of Lie groups, certain finite groups, Theory of braids, exotic spheres hypergeometric (with different Differenzierbarkeitsstrukturen ) Monodromiematrizen differential equations.

Since the seventies, he was active in the peace movement, since the eighties in the environmental and conservation movement. Brieskorn worked on the editorial project " Felix Hausdorff - Collected Works " of the North Rhine- Westphalian Academy of Sciences and Arts with. In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( Singular elements of semi -simple algebraic groups).

His doctoral include Horst Knörrer, Erhard Scholz, Wolfgang Ebeling, Kyoji Saito and Gert- Martin Greuel.

Honors

  • 2013: Order of Merit of the Federal Republic of Germany

Writings (selection )

  • (Ed.): Felix Hausdorff: Collected Works. Springer, Berlin 2001ff (responsible for the entire Edition)
  • (Ed.): Felix Hausdorff in memory. Volume I: aspects of his work. ( In memory of Felix Hausdorff Vol I:. Aspects of his work). Vieweg, Wiesbaden, 1986. ISBN 3-528-06493-5
  • Linear Algebra and Analytic Geometry, Vol.2, Vieweg, Wiesbaden, 1985, ISBN 3-528-08562-2.
  • Linear Algebra and Analytic Geometry, Vol.1, Vieweg, Wiesbaden, 1983, ISBN 3-528-08561-4.
  • The Milnorgitter the exceptional unimodular singularities. Bonner Mathematische Schriften, 150 University of Bonn, Institute of Mathematics, Bonn 1983.
  • ( with Horst Knörrer ): algebraic plane curves. Birkhauser Verlag, Basel, inter alia, 1981st ISBN 3-7643-3030-9 ( English translation by John Stillwell: Plane algebraic curves Birkhauser Verlag, Basel, among others in 1986. )

Papers

  • The combinatorial geometry of singularities and Arnold's series E, Z, Q. ( With Anna Pratoussevitch and Frank Rothenhäusler ). Moscow Mathematical Journal Vol 3, Number 2, 273-333, ( 2003).
  • Is there a revival of quality in mathematics? In: Science between Qualitas and quantitas. Edited by Erwin Neuenschwander. Birkhauser Verlag, Basel, 234-410, ( 2003).
  • Singularities in the work of Friedrich Hirzebruch. Surveys in differential geometry, 17-60, Surv. Differ. Geom, VII, Int. Press, Somerville, MA, 2000. Papers dedicated to Atiyah, Bott, Hirzebruch and Singer. Edited by S.-T. Yau. Appeared in: The Founders of Index Theory: Reminiscences of Atiyah, Bott, Hirzebruch, and Singer. Edited by S.-T. Yau. International Press (2003), 169-2002.
  • Gustav Landauer and the mathematician Felix Hausdorff. In: Gustav Landauer in conversation. Symposium for the 125th anniversary. Edited by Hanna Delf, Gert Mattenklott. Conditio Judaica, Volume 18, Max Niemeyer Verlag, Tübingen, 105-128, (1997). ISBN 3-484-65118-0
  • Automorphic sets and braids and singularities. In Braids (Santa Cruz, CA, 1986), 45-115, Contemp. Math, 78, Amer. Math Soc., Providence, RI, 1988.
  • " Rational singularities of complex surfaces ", Inventiones Mathematicae, vol 4, 1986, p 336
  • The Milnorgitter the exceptional unimodular singularities. Bonner Math Schr 150, 225 pp. (1983).
  • Milnor lattices and Dynkin diagrams. Singularities, Part 1 ( Arcata, Calif.. , 1981), 153-165, Proc. Sympos. Pure Math 40, Amer. Math Soc., Providence, RI, 1983.
  • The unfolding of exceptional singularities. Leopoldina Symposium: Singularities (Thuringia, 1978). Nova Acta Leopoldina ( NF) 52 (1981 ), no 240, 65-93.
  • About the dialectics in mathematics. In: mathematicians about mathematics. (Ed. M. Otte ). Springer -Verlag, Berlin, etc., 221-286, (1974).
  • The hierarchy of 1- modular singularities. Manuscripta Math, 27, 1979, no 2, 183-219.
  • " Singularities ", Annual Report DMV, Vol 78, 1976, p 93-112
  • The fundamental group of the space of regular orbits of a finite complex reflection group. Uspekhi Mat Nauka, Vol 30, No. 6, pp. 147-151 (1975)
  • With G.-M. Abomination: Singularities of complete intersections. Manifolds --- Tokyo 1973 ( Proc. Internat. Conf., Tokyo, 1973), pp. 123-129. Univ. Tokyo Press, Tokyo, 1975.
  • Artin groups and Coxeter groups. ( With Kyoji Saito ). Matematika, Moscow, Vol 18, No. 6, 56-79 (1974).
  • Sur les groupes de tresses [ d'après VI Arnold. (French) Séminaire Bourbaki, 24ème année ( 1971/1972 ), Exp No. 401, pp. 21-44. Lecture Notes in Math, vol 317, Springer, Berlin, 1973 ].
  • Vue d'ensemble sur les problèmes de monodromy. (French) singularités à Cargese ( Rencontre sur les singularités s Géométrie Analytique, Inst Etudes Sci. de Cargese, 1972), pp. 393-413. Astérisque Nos. 7 et 8, Soc. Math France, Paris, 1973.
  • With Kyoij Saito " Artin groups and Coxeter groups ", Inventiones Math, Vol 17, 1972, p 245
  • Singular elements of semi -simple algebraic groups. Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 2, pp. 279-284. Gauthier -Villars, Paris, 1971.
  • The monodromy of isolated singularities of hypersurfaces. Mathematika, Moskva 15, no. 4, 130-160 (1971).
  • " The fundamental group of the space of regular orbits of a finite complex reflection group," Inventiones Mathematicae, vol 12, 1971, p.57
  • " The monodromy of isolated singularities of hypersurfaces ", Manuscripta Mathematica Vol 2, 1970, pp. 103-161
  • With A. van de Ven: Some complex structures on products of homotopy spheres. Topology, 7, 1968, 389-393.
  • " The resolution of rational singularities of holomorphic images", Mathematische Annalen Vol 178, 1968, p 255
  • Examples of singular normal complex spaces are topological manifolds Which. Proc. Nat. Acad. Sci. U.S.A., 55, 1966, 1395-1397.
  • " Examples of the differential topology of singularities ," Inventiones Mathematicae, vol 2, 1966, p 1
  • "On the resolution of certain singularities of holomorphic images", Mathematische Annalen Vol 166, 1966, p 76
  • About holomorphic bundle over. Math Ann. , 157, 1965, 343-357.
  • A theorem on the complex quadrics. Math Ann. , 155, 1964, 184-193.
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