My research is in the area of complex dynamics and concerns the iteration of transcendental meromorphic functions - more details are given on my research page.
Advancing women's careers in mathematics
I have a long standing interest in the issues surrounding women's careers in mathematics and have been chair of the London Mathematical Society's Women in Mathematics Committee since 2006. Details of the work of the committee and the activities that we organise to support women's careers can be found here http://www.lms.ac.uk/women-mathematics.
I also represent the LMS on the Athena Forum http://www.athenaforum.org.uk/ and chair the departmental Athena SWAN self assessment team.
My research is in the area of complex dynamics and concerns the iteration of transcendental meromorphic functions. I am particularly interested in the possible dimensions of the Julia set and in the structure of the escaping set.
Together with Professor Phil Rippon, I lead the complex dynamics group at the OU. The group currently comprises a Research Associate, a Visiting Research Associate and two PhD students and our activities often include other complex analysts in the department.
Phil Rippon and myself are currently working on a project to investigate a surprising link that we identified between two open conjectures in complex dynamics: Bakers conjecture and Eremenko's conjecture. The work is funded by the EPSRC by two grants which together will fund our work for five years (0.5FTE each). More details on the project are given here:
EP/H006591/1: Baker's conjecture and Eremenko's conjecture: a unified approach
EP/K031163/1: Baker's conjecture and Eremenko's conjecture: new directions
Our Research Associate, Dave Sixsmith, is funded by the following grant from the EPSRC:
EP/J022160/1: Dimensions in complex dynamics: spiders' webs and speed of escape
Most of my teaching has been in the area of analysis. I am currently chair of the exam board for M208 Pure Mathematics and am responsible for the MSc course M835 Fractal Geometry.