We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Durham University

Department of Mathematical Sciences


John Parker, PhD University of Cambridge

Personal web page

Head of Department, Professor, Geometry in the Department of Mathematical Sciences

Contact John Parker (email at


Research Groups

  • Pure Mathematics: Geometry

Research Interests

  • Discrete groups
  • Hyperbolic geometry


Journal Article

Chapter in book

  • Parker, John R & Series, Caroline (2004). The mapping class group of the twice punctured torus. In Groups: Topological, Combinatorial and Arithmetic Aspects. Mueller, Thomas W. Cambridge University Press. 311: 405-486.
  • Menzel, Christof. & Parker, John R. (2003). Pseudo-Anosov diffeomorphisms of the twice punctured torus. In Recent Advances in Group Theory and Low-Dimensional Topology. Cho, Jung Rae. & Mennicke, Jens. Heldermann Verlag. 27: 141-154.
  • Parker, John R. (2003). Tetrahedral decomposition of punctured torus bundles. In Kleinian Groups and Hyperbolic 3-Manifolds. Komori, Yohei., Markovic, Vladimir, & Series, Caroline. Cambridge University Press. 299: 275-291.
  • Parker, John R. & Parkkonen, Jouni (1998). Coordinates for quasi-Fuchsian punctured torus space. In The Epstein Birthday Schrift. Geometry and Topology Monographs. 1: 451-478.

Conference Paper

  • Parker, John R. & Will, Pierre (2015), Complex hyperbolic free groups with many parabolic elements, Contemporary Mathematics 639: Groups, Geometry and Dynamics. Almora, Uttarakhand, India, American Mathematical Society, 327-348.
  • Parker, John R. (2012), Traces in complex hyperbolic geometry, in Goldman, William M., Series, Caroline & Tan, Ser Peow eds, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore 23: Geometry, Topology and Dynamics of Character Varieties. Singapore, World Scientific, Singapore, 191-245.
  • Parker, John R. & Platis, Ioannis D. (2010), Complex hyperbolic quasi-Fuchsian groups, in Gardiner, Frederick P. González-Diez, Gabino & Kourouniotis, Christos eds, 368: Geometry of Riemann Surfaces. Anogia, Crete, Greece, Cambridge University Press, Cambridge, 309-355.
  • Parker, John R. (2009), Complex hyperbolic lattices, in Dekimpe, Karel, Igodt, Paul & Valette, Alain eds, 501: Discrete groups and geometric structures. Kortrijk, Belgium, American Mathematical Society, Providence, R.I., 1-42.

Conference Proceeding