Education
After obtaining her Bachelor in 1974 and Master of Science in 1975 at Street Hugh"s College, Oxford, she did research in mathematics under the direction of Bill Parry at Warwick University, obtaining a Doctor of Philosophy in 1978.
After obtaining her Bachelor in 1974 and Master of Science in 1975 at Street Hugh"s College, Oxford, she did research in mathematics under the direction of Bill Parry at Warwick University, obtaining a Doctor of Philosophy in 1978.
She was awarded a Whitehead Prize of the London Mathematical Society in 1988. The citation notes that, in particular,
Her most spectacular theorem has been to show that in the space of rational maps of the Riemann sphere of degree d ≥ 2 those maps that are ergodic with respect to Lebesgue measure and leave invariant an absolutely continuous probability measure form a set of positive measure. In recent years, much of Rees"s work has focused on the dynamics of quadratic rational maps.
I.e. rational maps of the Riemann sphere of degree two, including an extensive monograph.
In 2004, she also presented an alternative proof of the Ending Laminations Conjecture of Thurston, which had been proved by Brock, Canary and Minsky shortly before. She was elected to a Fellowship of the Royal Society in 2002.
Her father David Rees was also a distinguished mathematician, who worked on Enigma in Hut 6 at Bletchley Park.
Royal Society.