
Professor of Mathematics (Emeritus)
Publications
List and
Curriculum Vitae
HYPERBOLIC GEOMETRY in DATA SCIENCE 

Recent Papers
Convergence of spherical averages for actions of Fuchsian Groups, March
2021
A symmetric Markov coding & the ergodic theorem for actions of Fuchsian Groups,
2020
Primitive stability and the Bowditch conditions revisited, ArXiv June
2020
The diagonal slice of Schottky space,
Algebraic & Geometric Topology, Vol.17,
2017
Limits of limit sets II: Geometrically Infinite Groups,
Geometry & Topology V. 21,
2017
Limits of limit sets I ,
Geometriae Dedicata, Volume 167, Issue 1, pp 35  67,
2013
Lines of minima in
Teichmüller space. Handbook of Teichmüller Theory III,
EMS 2012
A pointwise ergodic theorem for Fuchsian groups,
Math. Proc. Camb. Phil. Society
2011
Top terms of polynomial traces in Kra's plumbing construction,
Alg. Geo. Topology
2010
The Maskit embedding of the twice punctured torus,
Geometry and Topology 14
2010
Lectures
IMA  LMS David Crighton Medal Lecture,
London, 10th May 2022
Hamilton Lecture,
Royal Irish Academy, Trinity College Dublin, 15 October 2021
LMS Undergraduate Summer School,
University of Swansea, 12  23 July 2021
Geometry, Topology & Dynamics in Low Dimensions,
U. of Warwick , 2017/ 2018
Annual Charlotte Scott Lecture in Mathematics,
University of Lincoln, 2018
Mathematical Legacy of Rufus Bowen, University of
British Columbia, 2017
Pascal Fellow, Mathematical Sciences,
Durham, 2016
Plenary Lecture, Canadian Mathematical Society
Meeting, 2015
Organiser
Lowdimensional Topology, Geometry & Dynamics,
ICERM Brown U. 2013
Geometry, Topology and Dynamics of Character Varieties,
Singapore 2010
EPSRC
Symposium:
Low Dimensional Geometry and Topology, 2006  2007
SKG
Programme, Isaac Newton Institute for Maths Sciences, Cambridge 2003
Lecture Notes and Interviews
Interview in Bhavana 2021,
NUS 2013,
Mathematics Today 2007.
Hyperbolic geometry notes
MA448
A crash course on Kleinian groups
Trieste 2005
Continued Fractions & Hyperbolic Geometry
Lecture Notes,
LMS Summer School 2015
Indra's Pearls
MATLAB Indra's Pearls website by
Chris King, Mathematical Imagery by Jos Leys.
New Paperback Edition
Indra's Pearls 2015 , D. Mumford, C. Series & D. Wright
Conference Proceedings
Geometry, Topology & Dynamics of Character Varieties,
Editors W. Goldman, C. Series & S. Tan,
World Scientific 2012
Spaces of Kleinian Groups,
Editors Y. Minsky, M. Sakuma and C. Series,
LMS Lecture Note Series vol. 329,
CUP 2006
Kleinian Groups & Hyperbolic 3Manifolds,
Eds Y. Komori, V. Markovic & C. Series, LMS Lecture Notes 299,
CUP 2003
The Epstein Birthday Schrift,
Geometry & Topology Monographs Vol. 1,
Eds I. Rivin, C. Rourke and C. Series,
GT 1998
Ergodic Theory and Symbolic Dynamics in Hyperbolic Spaces,
Eds T. Bedford, M. Keane and C. Series, OUP 1991