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Professor Jim Anderson

Professor Jim Anderson

Professor of Mathematics

Research interests

  • The primary focus of my research concerns hyperbolic space and its isometries. Specifically, I've spent much of my career investigating Kleinian groups, which are discrete groups of isometries of hyperbolic 3-space.
  • One specific question I've engaged with somewhat extensively is the limit set intersection theorem for Kleinian groups, which are the theorems that describe the difference between Λ(θ ∩ Φ) and Λ(θ) ∩ Λ(Φ) for subgroups θ and Φ of a Kleinian group Γ, subject to different hypotheses on Γ, θ and Φ. In dimension 3, this question is I feel essentially answered. There is still room for exploration for this question for Kleinian groups acting on higher dimensional hyperbolic space.
  • Another area of more recent focus is joint work with Dr Aaron Wootton (University of Portland), investigating signatures of actions of automorphism groups on Riemann surfaces. 

More research

Accepting applications from PhD students.

Connect with Jim


Tel: +44 23 8059 5138

Address: B54, West Highfield Campus, University Road, SO17 1BJ (View in Google Maps)


My current research interests are centered on different aspects of the geometry of surfaces and hyperbolic geometry.

My personal page can be found at

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