Mary Rees

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 the University of Oxford ( St Hugh 's College ) and in 1977 at the University of Warwick with William Parry PhD (Distal transformation groups). Since 2002 she is a professor at the University of Liverpool.

In 1986, she showed that those pictures of the Riemann sphere which are ergodic with respect to a Lebesgue measure and an absolutely continuous probability measure be invariant positive measure in the space of rational images of the Riemann sphere have with degree greater than or equal to two ..

In 2004, she gave another proof of the Ending Laminations Conjecture of William Thurston. This states that a hyperbolic 3-manifold with finitely generated fundamental group is uniquely determined by its topological type and the invariants of the ends. Previously, Jeffrey Brock, Richard Canary and Yair Minsky had given a proof.

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

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

Writings

• Views of parameter space: topographer and resident astérisque, Volume 288, 2003, pp. 1-418
• A partial description of the parameter space of rational maps of degree two, one part Acta Mathematica, Volume 168, 1992, pp. 11-87, part 2, Proceedings of the London Mathematical Society, Volume 70, 1995, pp. 644-690