Analysis and Geometry

The interests of the Analysis and Geometry Research Group include:

  • Applied analysis: renormalization theory and nonlinear dynamical systems
  • Complex analysis: the boundary behaviour of analytic and subharmonic functions
  • Complex dynamics: the structure of the escaping set and dimensions of Julia sets of transcendental entire functions
  • Fractal geometry: the structure of sets and measures in Euclidean spaces
  • Hyperbolic geometry and continued fraction theory

Professor Gwyneth Stallard and Professor Phil Rippon have both been awarded the London Mathematical Society Whitehead Prize. They are currently funded by a three year EPSRC research grant entitled Baker's conjecture and Eremenko's conjecture: a unified approach.