Peter M. Gruber

Peter Manfred Gruber ( born August 28, 1941 in Klagenfurt) is an Austrian mathematician who deals with the geometry of numbers and discrete and convex geometry.

Life

Gruber grew up in Klagenfurt and from 1959 studied mathematics and physics at the University of Vienna and at the University of Kansas. In 1966 he was in Vienna with Nikolaus Hofreiter doctorate and Edmund Hlawka ( analyzes of the product of inhomogeneous linear forms ). After that, he was an assistant and since 1970 lecturer at the Vienna University of Technology. From 1971 he was professor at the Johannes Kepler University Linz and from 1976 at the Technical University of Vienna, where he was Chairman of the Section on several occasions.

Gruber engaged in a continuation in Vienna by Furtwängler, Hofreiter, Hlawka established number-theoretic school with the geometry of numbers and is also an internationally known authority for discrete and convex geometry, eg Approximationsfragen, Baire category problems and lattice packings.

In 1967 he received the promotion prize of the Austrian Mathematical Society. 1978, 1980 and 1982 he was chairman of the Austrian Mathematical Society. Since 1988 he has been corresponding since 1991 and full member of the Austrian Academy of Sciences. He is also a member of the Academies of Sciences in Messina and Modena, corresponding member of the Bavarian Academy of Sciences and nonresident since 2003 Member of the Russian Academy of Sciences. He holds honorary doctorates from the Universities of Siegen, Turin and Salzburg. In 2001 he was awarded the Austrian Cross of Honour for Science and Art First Class. In 1996 he received the Medal of the Union of Czech Mathematicians and Physicists and 2001, the Medal of the mathematical-physical Faculty of Charles University in Prague.

The Republic of Austria honored him in 2008 with the Great Silver Medal for Services to the Republic of Austria.

Peter Gruber is a member of AkV Aggstein in ÖKV.

He is the editor of Selecta by Edmund Hlawka and co-editor of the works of Johann Radon.

Writings

  • With CG Lekkerkerker Geometry of Numbers, North Holland, 1987 ( Russian translation, Nauka, Moscow 2008)
  • With Paul Erdős, J. Hammer Lattice points, Longman Scientific and Technical, Harwood, Essex, 1989
  • Convex and Discrete Geometry, Springer, basic teachings of Mathematical Sciences, 2007
  • Publisher Jörg Wills Handbook of Convex Geometry, 2 vols, North Holland 1993
  • Editor with J. Wills Convexity and its applications, Birkhäuser 1983
  • History of the convex geometry and the geometry of numbers, among other things, in Hirzebruch A Century of Mathematics - 1890 - 1990, Vieweg 1990 ( Festschrift for the 100th anniversary of the DMV)
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