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Durham University

Department of Mathematical Sciences

Academic Staff

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 j.r.parker@durham.ac.uk)

Research Groups

  • Pure Mathematics: Geometry

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

    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

Publications

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