Emeritus Professor of Mathematics Office: A2.01 Phone: +44 (0)2476 522677 Email: C.M.Series (at) warwick.ac.uk

Research Interests:
Hyperbolic geometry, Kleinian groups, dynamical systems

See also: AMS Notices featured article 2023

Curriculum Vitae    Publications List    CBE 

Selected Publications
Primitive stability and the Bowditch conditions revisited, To appear. 2024
(with S. Bufetov and A. Klimenko) Convergence of spherical averages for actions of Fuchsian groups, Comm. Math. Helv. 98 2023
(with S.P. Tan and Y. Yamashita) The diagonal slice of Schottky space, Algebraic & Geometric Topology, Vol.17, 2017
(with M. Mj) Limits of limit sets II: Geometrically Infinite Groups, Geometry & Topology V. 21, 2017
(with M. Mj) Limits of limit sets I , Geometriae Dedicata, Volume 167, 2013 
(With Y. Choi) Lengths are coordinates for convex structures, J. Diff. Geom. 73, 2006
Limits of quasifuchsian groups with small bending, Duke Mathematical J. 128, 2005
(with L. Keen) The Riley slice of Schottky space, Proc. London Math. Soc. 69, 1994
(with J. Birman) Geodesics with bounded intersection number on surfaces are sparsely distributed, Topology 24, 1985
The modular surface and continued fractions, Journal of the LMS, 1985
The Geometry of Markoff Numbers, Math. Intelligencer, Vol.7, 1985
(with R. Bowen) Markov maps associated with Fuchsian groups, IHES Publications 50, 1979

Some Recent Lectures
Alice Roth Lecture, ETH Zürich, 2025
Atiyah Lecture, Maxwell Institute for Mathematical Sciences, Edinburgh, 2024
Hamilton Lecture, Royal Irish Academy, Trinity College Dublin, 2021
LMS Presidential Lecture, All about the Riley Slice, 2019
Charlotte Scott Lecture, University of Lincoln, 2018

Lecture Notes and Interviews:
Interviews in EMS NewsLetter 2022, Bhavana 2021
Continued Fractions and Hyperbolic Geometry, LMS Summer School 2015
Hyperbolic Geometry MA448 2013, A crash course on Kleinian groups ICTP Trieste 2005

Organiser
The unity of mathematics: A conference in honour of Sir Michael Atiyah, Isaac Newton Institute 2021
Geometry, Topology and Dynamics of Character Varieties, Singapore 2010
Low Dimensional Geometry and Topology, Warwick Symposium 2006 -- 2007
Spaces of Kleinian Groups: Programme, Isaac Newton Institute, 2003

Indra's Pearls
Indra's Pearls, D. Mumford, C. Series & D. Wright CUP 2002, Paperback edition 2015
Resource website by David Wright. Book review by Al Marden, AMS Notices 2003
MATLAB Indra's Pearls by Chris King, Mathematical Imagery by Jos Leys
Exploring Indra's Pearls with WebGPU by Nicholas Belmonte

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