Residence England | Name Caroline Series Citizenship British | |
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Fields Hyperbolic geometryKleinian groupsDynamical systems Institutions University of California, BerkeleyNewnham College, CambridgeUniversity of Warwick Thesis Ergodic action of product groups (1976) Institution University of California, Berkeley, Newnham College, Cambridge, University of Warwick | ||
Topology, Geometry and Life in Three Dimensions - with Caroline Series
Caroline Mary Series FRS (born 1951) is an English mathematician known for her work in hyperbolic geometry, Kleinian groups and dynamical systems.
Contents
- Topology Geometry and Life in Three Dimensions with Caroline Series
- Early life and education
- Career and research
- Publications
- Awards and honours
- Personal life
- References
Early life and education
She attended Oxford High School for Girls and from 1969 studied at Somerville College, Oxford, obtaining a B.A. in Mathematics in 1972, also being awarded the university Mathematical Prize. She was awarded a Kennedy Scholarship and studied at Harvard University from 1972, obtaining her PhD in 1976 supervised by George Mackey (Ergodic action of product groups).
Career and research
In 1976–77 she was a lecturer at 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 EPSRC (Engineering and Physical Sciences Research Council) Senior Research Fellow at 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 groups as 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.
Publications
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 is a fellow of the American Mathematical Society.
Personal life
Series is the daughter of the physicist George William Series.