My research is in the area of complex dynamics and concerns the iteration of transcendental meromorphic functions - more details are given below.
Advancing women's careers in mathematics
I have a long standing interest in the issues surrounding women's careers in mathematics and chaired the London Mathematical Society's Women in Mathematics Committee from 2006 to 2015. This work was recognized by the award of an OBE in 2015. Details of the work of the committee and the activities that it organises to support women's careers can be found here http://www.lms.ac.uk/women-mathematics. I also represented the LMS on the Athena Forum http://www.athenaforum.org.uk/. I continue as a member of the LMS Good Practice Scheme Steering Committee and a member of LMS Council. I chair the School's Athena SWAN self assessment team - we were awarded a Bronze award in 2014.
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 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: Baker's conjecture and Eremenko's conjecture. The work has been funded by the EPSRC by two grants which together funded 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 former Research Associate, Dave Sixsmith, was funded by the following grant from the EPSRC:
EP/J022160/1: Dimensions in complex dynamics: spiders' webs and speed of escape