Peter Orlik
Peter Paul Nikolas Orlik is an American mathematician, known for his research on topology, algebra, and combinatorics.
Orlik earned in 1961 his bachelor's degree from the Norwegian Institute of Technology in Trondheim and in 1966 his Ph.D. from the University of Michigan under Frank Raymond with thesis Necessary conditions for the homeomorphism of Seifert manifolds. He became in 1966 an assistant professor and in 1973 a full professor at the University of Wisconsin–Madison.
Orlik was in the academic year 1971/72 a visiting professor in Oslo. From 1967 to 1969 he was a visiting scholar at the Institute for Advanced Study.
Orlik is the author of over 70 publications. He works on Seifert manifolds, singularity theory, braid theory, reflection groups, invariant theory, and hypergeometric integrals. He was, with Louis Solomon and Hiroaki Terao, a pioneer of the theory of arrangements of hyperplanes in complex space.
In 2012 he was elected a Fellow of the American Mathematical Society.Selected publications
Books
- Seifert Manifolds, Lecture Notes in Mathematics 291, Springer Verlag, 1972
- as editor: Singularities, 2 vols., American Mathematical Society, 1983
- , CBMS Regional Conference Series, American Mathematical Society, 1989
-
-
- with Volkmar Welker: , Universitext, Springer Verlag, 2007
Articles
- with Colin P. Rourke:
- with John Milnor:
- with Frank Raymond:
- with Philip Wagreich:
- The multiplicity of a holomorphic map at an isolated critical point, in Real and complex singularities, Oslo: Sijthoff and Noordhoff, 1977, 405–474
- with Louis Solomon:
- with Daniel C. Cohen:
