Analysis and Geometry

The interests of the Analysis 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
  • Value distribution and quasiregular mappings

Professor Gwyneth Stallard and Professor Phil Rippon have both been awarded the London Mathematical Society Whitehead Prize. Their research is currently funded by two EPSRC grants, entitled Baker's conjecture and Eremenko's conjecture: new directions and Dimensions in complex dynamics: spiders' webs and speed of escape

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Themes within Pure Mathematics