Caroline Series

Caroline Series
Caroline Series at the Royal Society admissions day in London for new fellows in 2016
Born	Caroline Mary Series 1951 (age 65–66) Oxford
Residence	England
Citizenship	British
Fields	Hyperbolic geometry Kleinian groups Dynamical systems
Institutions	University of California, Berkeley Newnham College, Cambridge University of Warwick
Alma mater	University of Oxford (BA) Harvard University (PhD)
Thesis	Ergodic action of product groups (1976)
Doctoral advisor	George Mackey
Doctoral students	Raquel Agueda Mate Timothy Bedford Jack Button Khadija Farooq Dan Goodman Maria Losada Damiano Lupi Sara Maloni Andre Rocha Irene Scorza Ralf J. Spatzier
Notable awards	Whitehead Prize (1987) FRS (2016)
Website homepages.warwick.ac.uk/~masbb/

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

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).

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.