William Abikoff

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William Abikoff (born August 18, 1944 in New York City ) is an American mathematician who deals with complex analysis and hyperbolic geometry.

Abikoff studied electrical engineering at the Polytechnic Institute of Brooklyn (now New York University ) with a bachelor's degree in 1965 and a master's degree in 1966 and received his doctorate in mathematics under Georges Weill in 1971 (The limit sets of Kleinian and Reflection Groups). From 1965 to 1970 he was at Bell Laboratories . He was then an instructor and from 1972 assistant professor at Columbia University , from 1975 at the University of Illinois and from 1981 professor at the University of Connecticut .

In 1971/72 he was at the Mittag-Leffler Institute , in 1976/77 at the IHES and in 1989 at the Institute for Advanced Study . In 1996/97 he was Lady Day visiting professor at the Technion , 1976 at the University of Paris-Süd , 1977 in Florence and 1976 in Perugia.

He deals with Riemann surfaces , Klein groups and Teichmüller theory as well as the visualization of geometric structures.

In 2012 he became a Fellow of the American Mathematical Society . From 1975 to 1977 he was a Sloan Research Fellow .

Fonts

  • Topics in the real analytic theory of Teichmuller spaces, Springer Verlag, Lecture Notes in Mathematics 820, 1980, 1990
  • with G. Cornell: The Basic ADAM, Wiley 1984.
  • with G. Cornell: The Basic Apple IIc, Wiley 1985
  • Editor with Joan Birman , K. Kuiken: The Mathematical Legacy of Wilhelm Magnus - Groups, Geometry and Special Functions, Contemporary Math. 169, American Mathematical Society 1994
  • Editor with A. Haas: In the Tradition of Ahlfors and Bers, III, Contemporary Math. 355, American Mathematical Society, 2004
  • Moduli of Riemann surfaces, in A Crash Course in Kleinian Groups , Springer Lecture Notes in Mathematics, 400, 1974, pp. 79-93
  • On boundaries of Teichmuller spaces and on Kleinian groups, III, Acta Math. 134, 1975, pp. 211-237.
  • with Bernard Maskit : Geometric decompositions of Kleinian groups, American Journal of Mathematics, Volume 99, 1977, pp. 687-697.
  • Degenerating families of Riemann surfaces, Annals of Mathematics, Volume 105, 1977, 29-45.
  • The uniformization theorem, American Mathematical Monthly, Vol. 38, 1981, pp. 574-592
  • Oswald Teichmüller- The man and his work, Math. Intelligencer 8, 1986, pp. 8-16, 33
  • Kleinian groups, geometrically finite and geometrically perverse, Contemporary Math. 74, 1988, pp. 1-50.

Web links

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ↑ William Abikoff in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Abikoff, William
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH August 18, 1944
PLACE OF BIRTH New York City