Linda Keen

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Linda Keen 1971

Linda Goldway Keen (born Linda Goldway; born August 9, 1940 in New York City ) is an American mathematician .

Live and act

Keen studied at the City College of New York and at the Courant Institute of Mathematical Sciences of New York University , where she did her PhD under Lipman Bers in 1964 ( Canonical Polygons for Finitely Generated Fuchsian Groups ). In 1964/65 she was at the Institute for Advanced Study and then at Hunter College of the City University of New York (CUNY). In 1968 she is at CUNY's Lehman College , where she has been a professor since 1974 and also a member of the CUNY Graduate Center . Keen has also been visiting professor and researcher at Princeton University , the University of California, Berkeley , MIT , Boston University and Columbia University , among others .

She worked on Riemann surfaces and their modular spaces ( Teichmüller spaces , they classify conformal structures on Riemann surfaces) and higher-dimensional hyperbolic geometry (of which Riemann surfaces provide two-dimensional examples), complex dynamics, and the Klein and Fuchs theory associated with the theory Groups. In some cases she worked with the Caroline Series . In her dissertation at Bers she already gave geometrical interpretations of the real-analytical structure of Teichmüller rooms, which Bers and Lars Ahlfors had previously investigated. With Caroline Series she investigated the complex-analytical structure of Teichmüller spaces introduced by Bernard Maskit using geometric methods of hyperbolic geometry, which William Thurston had developed with his school.

The collar lemma , which is important for the geometric analysis of hyperbolic surfaces, originates from Keen, which assigns closed geodetic curves on hyperbolic surfaces a neighborhood area (collar neighborhood) with an area measure that only depends on the length of the geodesic and goes monotonously towards infinity if the length the geodesic goes to zero.

From 1985 to 1987 she was President of the Association for Women in Mathematics . From 1992 to 1995 she was Vice President of the American Mathematical Society , of which she is a fellow. In 1993 she was a Noether Lecturer (Hyperbolic geometry and spaces of Riemann Surfaces).

Fonts

  • with Nikola Lakic: Hyperbolic geometry from a local viewpoint, Cambridge University Press 2007, ISBN 0-521-68224-X .
  • Editor with Robert Devaney: Complex Dynamics - 25 years after the Mandelbrot Set, Contemporary Mathematics, AMS 2006
  • Hyperbolic geometry and spaces of Riemann surfaces, Mathematical Intelligencer, 1994, No. 3

Web links

References

  1. ↑ Linda Keen in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ translated collar- Lemma
  3. ↑ Keen Collars on Riemann Surfaces , Annals of Mathematical Studies, Vol. 79, 1974, p. 263.
personal data
SURNAME Keen, Linda
ALTERNATIVE NAMES Goldway, Linda (maiden name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH August 9, 1940
PLACE OF BIRTH New York City