Albert Marden

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Albert Marden (born November 18, 1934 in Milwaukee , Wisconsin ) is an American mathematician who deals with function theory and hyperbolic geometry .

Marden received his doctorate in 1962 under Lars Ahlfors at Harvard University ( An extremal length problem and the bilinear relation on open Riemann surfaces ). He has been a professor at the University of Minnesota since the 1970s , where he has now retired. In 1969/70 and 1978 he was at the Institute for Advanced Study (IAS).

He deals with Riemann surfaces and their Teichmüller spaces , hyperbolic geometry of surfaces and 3-manifolds , Fuchs and Klein groups, complex dynamics and low-dimensional geometric analysis.

He made a tameness conjecture for hyperbolic 3-manifolds, established by him in 1974 and proven around 2004 by Ian Agol , Danny Calegari and David Gabai .

In 1962 he gave a lecture at the International Congress of Mathematicians in Stockholm ( A sufficient condition for the bilinear relation on open Riemann surfaces ). He is a fellow of the American Mathematical Society .

Fonts

  • Outer circles. An introduction to hyperbolic 3 manifolds , Cambridge University Press 2007
  • with Richard Canary , David Epstein (editor) Fundamentals of hyperbolic geometry: selected expositions , Cambridge University Press 2006
  • The geometry of finitely generated kleinian groups. Ann. of Math. (2) 99: 383-462 (1974).
  • with DBA Epstein : Convex hulls in hyperbolic space, a theorem of Sullivan, and measured pleated surfaces. Analytical and geometric aspects of hyperbolic space (Coventry / Durham, 1984), 113-253, London Math. Soc. Lecture Note Ser., 111, Cambridge Univ. Press, Cambridge, 1987.
  • with DBA Epstein , V. Markovic : Quasiconformal homeomorphisms and the convex hull boundary. Ann. of Math. (2) 159 (2004) no. 1, 305-336.

Web links

Individual evidence

  1. ↑ Dates of birth according to IAS 1980 membership book
  2. ↑ Albert Marden in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used Template: MathGenealogyProject / Maintenance / name used
  3. ↑ Marden The geometry of finitely generated kleinian groups , Annals of Mathematics, Series 2, Volume 99, 1974, pp. 383-462
personal data
SURNAME Marden, Albert
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH November 18, 1934
PLACE OF BIRTH Milwaukee , Wisconsin