Albert Marden

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Albert Marden
Born (1934-11-18) 18 November 1934 (age 87)
Nationality American
Alma mater Harvard University
Scientific career
Fields Mathematics
Institutions University of Minnesota
Doctoral advisor Lars Ahlfors

Albert Marden (born 18 November 1934) is an American mathematician, specializing in complex analysis and hyperbolic geometry.

Contents

Education and career

Marden received his PhD in 1962 from Harvard University with thesis advisor Lars Ahlfors. [1] Marden has been a professor at the University of Minnesota since the 1970s, where he is now professor emeritus. He was a member of the Institute for Advanced Study (IAS) in the academic year 1969–70, Fall 1978, and Fall 1987. [2]

His research deals with Riemann surfaces, quadratic differentials, Teichmüller spaces, hyperbolic geometry of surfaces and 3-manifolds, Fuchsian groups, Kleinian groups, complex dynamics, and low-dimensional geometric analysis.

Concerning properties of hyperbolic 3-manifolds, Marden formulated in 1974 the tameness conjecture, [3] which was proved in 2004 by Ian Agol and independently by a collaborative effort of Danny Calegari and David Gabai. [4]

In 1962, he gave a talk (as an approved speaker but not an invited speaker) on A sufficient condition for the bilinear relation on open Riemann surfaces at the International Congress of Mathematicians in Stockholm. In 2012 he was elected a Fellow of the American Mathematical Society. His doctoral students include Howard Masur.

Selected publications

Articles

Books

Related Research Articles

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References

  1. Albert Marden at the Mathematics Genealogy Project
  2. "Albert Marden". IAS (ias.edu). 9 December 2019.
  3. Marden, Albert (1974), "The geometry of finitely generated kleinian groups", Annals of Mathematics , Second Series, 99 (3): 383–462, doi:10.2307/1971059, ISSN   0003-486X, JSTOR   1971059, MR   0349992, Zbl   0282.30014
  4. Canary, Richard D. (2010). "Marden's Tameness Conjecture: history and applications". arXiv: 1008.0118 [math.GT].
  5. "Review of Outer Circles. An Introduction to Hyperbolic 3-Manifolds by Albert Marden". European Mathematical Society. 15 June 2011.
  6. Das, Tushar (1 July 2017). "Review of Hyperbolic Manifolds: An Introduction in 2 and 3 Dimensions by Albert Marden". MAA Reviews, Mathematical Association of America.