Marl Cottage, Spring 2022
LMS President 2017 -- 2019
Caroline Series FRS FIMA
Professor of Mathematics (Emeritus)
Research: Hyperbolic 3-manifolds, Kleinian groups, Dynamical systems

Publications   List   and     Curriculum   Vitae
Selected   Professional   Service
  David Crighton Medal

(Crighton Medal Lecture May 2022 )

Riley Slice
LMS Presidential Lecture 2019

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

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

Low-dimensional 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 3-Manifolds, 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

Last revised July 2022