Caroline Series

Caroline Mary Series FRS (born 24 March 1951) is an English mathematician known for her work in hyperbolic geometry, Kleinian groups and dynamical systems.

Series was born on 24 March 1951 in Oxford to Annette and George Series. She attended Oxford High School for Girls and from 1969 studied at Somerville College, Oxford, where she was interviewed for admission by Anne Cobbe. She obtained a B.A. in Mathematics in 1972 and was awarded the university Mathematical Prize. She was awarded a Kennedy Scholarship and studied at Harvard University from 1972, obtaining her Ph.D. in 1976 supervised by George Mackey on the Ergodicity of product groups.

In 1976–77 she was a lecturer at University of California, Berkeley, and in 1977–78 she was a research fellow at Newnham College, Cambridge. From 1978 she was at the University of Warwick, first as a lecturer, then, from 1987, as a reader, and from 1992 as a professor. From 1999 to 2004 she was Engineering and Physical Sciences Research Council (EPSRC) Senior Research Fellow at the University of Warwick.

In the 1970s, Series found illustrations of Rufus Bowen's Theory of Dynamic Systems in the geometry of continued fractions and two-dimensional hyperbolic geometry, effect of Fuchs Groups. After that she investigated similar, including fractal, geometric patterns in three-dimensional hyperbolic spaces, with Klein groupsas symmetry groups. The computer images led to a book project with David Mumford and David Wright, which took over ten years. Other coauthors are Linda Keen and Joan Birman.

Series was president of the London Mathematical Society 2017 -- 2019.

She is Emeritus Professor in Mathematics at the University of Warwick.

Publications

• with David Mumford and David Wright: Indra's Pearls. Cambridge University Press 2002.
• The geometry of Markoff Numbers. Mathematical Intelligencer Vol. 7, 1985, pp. 24–31.
• Noneuclidean Geometry, Continued Fractions and Ergodic Theory. Mathematical Intelligencer, Vol. 4, 1982, p. 24.
• Some Geometrical Models of Chaotic Dynamics. Proceedings Royal Society, A 413, 1987, p. 171.
• Series, Wright Non euclidean geometry and Indra´s Pearls, Plus Magazine
• Editor with T. Bedford and M. Keane Ergodic Theory, Symbolic Dynamics and Hyperbolic Spaces, Oxford University Press 1991 (including chapter Geometric Methods of Symbolic Coding by Series).

Awards and honours

In 1987 she was awarded the Junior Whitehead Prize by the London Mathematical Society. In 1992 she held the Rouse Ball Lecture in Cambridge, and in 1986 she was the invited speaker at the International Congress of Mathematicians in Berkeley (Symbolic Dynamics for Geodesic Flows). From 1990 to 2001 she was the editor of the Student Texts of the London Mathematical Society. In 1986 she was a founding member of European Women in Mathematics (EWM). In 2009 she was the Emmy Noether visiting professor at the University of Göttingen. She was electeda Fellow of the American Mathematical Society in its inaugural class of 2013. She is an Honorary Fellow of Somerville College.

• 1972 –74 Kennedy Scholarship, Harvard University
• 1987 Junior Whitehead Prize, London Mathematical Society
• 2014 Senior Anne Bennett Prize, London Mathematical Society
• 2016 Fellow of the Royal Society

She is the daughter of the physicist George Series.