Peter Orlik

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Peter Paul Nikolas Orlik (born November 12, 1938 in Budapest ) is an American mathematician who deals with combinatorics, algebra and topology.

Orlik studied at the Norwegian Technical University in Trondheim (graduated in 1961) and received his doctorate in 1966 from the University of Michigan under Frank Raymond ( Necessary conditions for the homeomorphism of Seifert manifolds ). He was Assistant Professor since 1966 and Professor since 1973 at the University of Wisconsin – Madison .

Orlik was among other things visiting professor in Oslo in 1971/72. From 1967 to 1969 he was at the Institute for Advanced Study .

Among other things, he dealt with Seifert manifolds , singularities, braids , reflection groups, invariant theory and hypergeometric integrals and was a pioneer in the field of hypersurface arrangements with Hiroaki Terao and Louis Solomon.

He is a fellow of the American Mathematical Society .

Fonts

  • Editor Singularities , 2 volumes, AMS 1983
  • with Hiroaki Terao: Arrangement of Hyperplanes , Basic Teachings of Mathematical Sciences, Springer Verlag 1992
  • Introduction to Arrangements , CBMS Regional Conference Series, AMS 1989
  • with Volkmar Welker Algebraic Combinatorics. Lectures at a Summer School in Nordfjordeid, Norway, June 2003 , Universitext, Springer Verlag 2007
  • with Louis Solomon: Combinatorics and topology of complements of hyperplanes. Invent. Math. 56 (1980) no. 2, 167-189
  • Seifert Manifolds , Lecture Notes in Mathematics 291, Springer Verlag 1972
  • with P. Wagreich Isolated singularities of algebraic surfaces with C * -action , Annals of Mathematics, 93, 1971, 205-228
  • with John Milnor Isolated singularities defined by weighted homogeneous polynomials , Topology, 9, 1970, 385-393
  • The multiplicity of a holomorphic map at an isolated critical point , in Real and complex singularities , Oslo: Sijthoff and Noordhoff, 1977, 405-474

Web links

Individual evidence

  1. Life data according to American Men and Women of Science , Thomson Gale 2004
  2. Peter Orlik in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used