Professor Caroline Series, FRS
 |
Emeritus Professor of Mathematics Office: A2.01 |
Research Interests:
Hyperbolic geometry, Kleinian groups, dynamical systems
See also: AMS Notices featured article 2023
Curriculum Vitae Publications List
Selected Publications
Primitive stability and the Bowditch conditions revisited, To appear.
(with S. Bufetov and A. Klimenko) Convergence of spherical averages for actions of Fuchsian groups, Comm. Math. Helv. 98
(with S.P. Tan and Y. Yamashita) The diagonal slice of Schottky space, Algebraic & Geometric Topology, Vol.17,
(with M. Mj) Limits of limit sets II: Geometrically Infinite Groups, Geometry & Topology V. 21,
(with M. Mj) Limits of limit sets I , Geometriae Dedicata, Volume 167,
(With Y. Choi) Lengths are coordinates for convex structures, J. Diff. Geom. 73,
Limits of quasifuchsian groups with small bending, Duke Mathematical J. 128,
(with L. Keen) The Riley slice of Schottky space, Proc. London Math. Soc. 69,
(with J. Birman) Geodesics with bounded intersection number on surfaces are sparsely distributed, Topology 24,
The modular surface and continued fractions, Journal of the LMS,
The Geometry of Markoff Numbers, Math. Intelligencer, Vol.7,
(with R. Bowen) Markov maps associated with Fuchsian groups, IHES Publications 50,
Some Recent Lectures
, Universit盲t Leipzig, 29 -- 30 September 2025
, De Morgan House London, Sept. 2025
, ETH Z眉rich, Switzerland, May 2025
, Maxwell Institute for Mathematical Sciences, Edinburgh, 2024
, Royal Irish Academy, Trinity College Dublin, 2021
LMS Presidential Lecture, All about the Riley Slice, 2019
, University of Lincoln, 2018
Lecture Notes and Interviews:
Interviews in 2022, 2021
Continued Fractions and Hyperbolic Geometry, LMS Summer School 2015
Hyperbolic Geometry MA448 2013, ICTP Trieste 2005
Organiser
: A conference in honour of Sir Michael Atiyah, Isaac Newton Institute 2021
, Singapore 2010
Low Dimensional Geometry and Topology, 糖心TV Symposium 2006 -- 2007
: Programme, Isaac Newton Institute, 2003
Indra's Pearls
, D. Mumford, C. Series & D. Wright CUP 2002, Paperback edition 2015
by David Wright. by Al Marden, AMS Notices 2003
by Chris King, by Jos Leys
by Nicholas Belmonte
Conference Proceedings
Geometry, Topology & Dynamics of Character Varieties, Editors W. Goldman, C. Series & S. Tan,
Spaces of Kleinian Groups, Editors Y. Minsky, M. Sakuma and C. Series, LMS Lecture Note Series vol. 329,
Kleinian Groups & Hyperbolic 3-Manifolds, Eds Y. Komori, V. Markovic & C. Series, LMS Lecture Notes 299,
The Epstein Birthday Schrift, Geometry & Topology Monographs Vol. 1, Eds I. Rivin, C. Rourke and C. Series,
Ergodic Theory and Symbolic Dynamics in Hyperbolic Spaces, Eds T. Bedford, M. Keane and C. Series, OUP 1991