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Durham University

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John Parker, PhD University of Cambridge

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

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Research Groups

Department of Mathematical Sciences

Research Interests

  • Discrete groups
  • Hyperbolic geometry

Indicators of Esteem

  • 'Grants':

    'Research grants:

    JSPS Invitation Fellowship 2016.

    UK-Mexico Visiting Chair 2017

  • 'Invitation to research centres': Tokyo Institute of Technology, April 2016 to March 2017 (supported by JSPS).
  • 'National and International Collaboration':

    'International collaborators:

    RK Boadi, KNUST, Ghana

    W Cao, Hunan University of Science and Technology, China

    A Cano, UNAM, Mexico

    M Deraux, Fourier Institute, Grenoble, France

    E Falbel, University of Paris VI, France

    N Gusevskii, Federal University of Minas Gerais, Brazil

    Y Jiang, Hunan University, China

    S Kamiya, Okayama University of Science, Japan

    I Kim, Seoul National University, Korea

    A D Mednykh, Sobelev Institute, Russia

    C Menzel, University of Bielefeld, Germany

    J Paupert, Arizona State University, USA

    I D Platis, University of Crete

    J Seade, UNAM, Mexico

    A Y Vesnin, Sobelev Institute, Russia

    J Wang, Hunan University, China

    X Wang, Hunan Normal University, China

    P Will, Fourier Institute, Grenoble, France

    B Xie, Hunan University, China

  • Editorial work: Joint Editor-in-Chief, Geometriae Dedicata


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

Journal Article