LMS Prize
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
Honorary Fellow, Somerville College, Oxford
Selected   Professional   Service

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

LMS Undergraduate Summer School, University of Swansea,   12 -- 23 July 2021
Geometry, Topology & Dynamics in Low Dimensions, Warwick Symposium, 2017 - 2018
Annual Charlotte Scott Lecture in Mathematics, University of Lincoln, 7th February 2018
Mathematical Legacy of Rufus Bowen, University of British Columbia, 2017
Pascal Fellow,   Mathematical Sciences, Durham,   22 -- 26 February 2016
Plenary Lecture, Canadian Mathematical Society Meeting, December 2015
LMS Women in Maths 150th Anniversary Event,   Oxford,   16th April 2015

Indra's Pearls
MATLAB Indra's Pearls website by Chris King 2018
New Paperback Edition Indra's Pearls 2015 , D. Mumford, C. Series & D. Wright
Mathematical Imagery by Jos Leys. +plus Magazine, C. Series & D. Wright 2007.

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 by NSU   2013.   Mathematics Today   2007.     Memories of   George Mackey
Hyperbolic geometry notes   MA448   A crash course on Kleinian groups   Trieste 2005
Continued Fractions & Hyperbolic Geometry Lecture Notes, LMS Summer School 2015

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 March 2021