Mary Rees

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Susan Mary Rees (born July 31, 1953 in Cambridge ) is a British mathematician who deals with complex dynamics and the geometry of Teichmüller spaces .

Rees, the daughter of the mathematician David Rees , studied mathematics at St Hugh's College of Oxford University and in 1977 at the University of Warwick in William Parry doctorate ( Distal Transformation Groups ). She has been a professor at Liverpool University since 2002 .

In 1986 she showed that those mappings of the Riemann sphere that are ergodic with respect to a Lebesgue measure and leave an absolutely continuous probability measure invariant have a positive measure in the space of the rational mappings of the Riemann sphere with degrees greater than or equal to two.

In 2004 she found further evidence of William Thurston's Ending Laminations Conjecture . This means that a hyperbolic 3-manifold with a finitely generated fundamental group is uniquely determined by its topological type and the invariants of the ends. Jeffrey Brock , Richard Canary and Yair Minsky had previously given evidence.

In 2002 she became a Fellow of the Royal Society . In 1988 she received the Whitehead Prize .

In 1990 she was a speaker at the International Congress of Mathematicians in Kyoto ( Combinatorial Methods Illustrating Inv variations of dynamics in families of rational maps ).

Fonts

  • Views of parameter space: Topographer and resident , Asterisque, Volume 288, 2003, pp. 1-418
  • A partial description of the Parameter Space of Rational Maps of degree two , Part 1 Acta Mathematica, Volume 168, 1992, pp. 11-87, Part 2, Proceedings London Mathematical Society, Volume 70, 1995, pp. 644-690

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ^ Positive measure sets of ergodic rational maps, Ann. Sci. École Norm. Superieure, Volume 19, 1986, pp. 383-407
  3. ^ The Ending Laminations Theorem direct from Teichmuller geodesics, Preprint 2004
  4. ↑ Brock, Canary, Minsky: The classification of Kleinian surface groups, II: The Ending Lamination Conjecture , Preprint 2004
personal data
SURNAME Rees, Mary
ALTERNATIVE NAMES Rees, Susan Mary (full name)
BRIEF DESCRIPTION British mathematician
DATE OF BIRTH July 31, 1953
PLACE OF BIRTH Cambridge