Caroline Series

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Caroline Series

Portrait photograph of Professor Caroline Series, FRS
Caroline Series at the Royal Society admissions day in London for new fellows in 2016
Caroline Mary Series

(1951-03-21) 21 March 1951 (age 68)
EducationOxford High School for Girls
Alma mater
Scientific career
ThesisErgodic action of product groups (1976)
Doctoral advisorGeorge Mackey[1]
Doctoral studentsRalf J. Spatzier[1]

Caroline Mary Series FRS (born 24 March 1951)[2] is an English mathematician known for her work in hyperbolic geometry, Kleinian groups and dynamical systems.

Early life and education[edit]

Caroline Series in 1976

Series was born on 24 March 1951 in Oxford to Annette and George Series.[2] She attended Oxford High School for Girls and from 1969 studied at Somerville College, Oxford, where she was interviewed for admission by Anne Cobbe.[3] 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[4] supervised by George Mackey on the Ergodicity of product groups.[4][1]

Career and research[edit]

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 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.

Since 2018, Series is president of the London Mathematical Society.

She is Emeritus Professor in Mathematics at the University of Warwick.[2]


  • 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[edit]

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).[5] In 2009 she was the Emmy Noether visiting professor at the University of Göttingen. She was elected a Fellow of the American Mathematical Society in its inaugural class of 2013. She is an Honorary Fellow of Somerville College.[6]

  • 1972 –74 Kennedy Scholarship, Harvard University
  • 1987 Junior Whitehead Prize, London Mathematical Society [7]
  • 2014 Senior Anne Bennett Prize, London Mathematical Society [8][7]
  • 2016 Fellow of the Royal Society [9]

Personal life[edit]

She is the daughter of the physicist George Series.[10]


  1. ^ a b c Caroline Series at the Mathematics Genealogy Project
  2. ^ a b c Series, Prof. Caroline Mary. Who's who. Oxford: Oxford University Press.
  3. ^ "Interview with Professor Caroline Series" (PDF). European Women in Maths. 2007. Archived from the original (PDF) on 3 March 2016. Retrieved 28 August 2018.
  4. ^ a b Series, Caroline Mary (1976). Ergodic actions of product groups (PhD thesis). Harvard University. OCLC 76998584.
  5. ^ Interview Archived 3 March 2016 at the Wayback Machine (PDF; 266 kB)
  6. ^ "Emeritus and Honorary Fellows". Somerville College, Oxford. Retrieved 26 August 2018.
  7. ^ a b "List of LMS prize winners". London Mathematical Society. Retrieved 8 September 2014.
  8. ^ "LMS Prizes 2014". London Mathematical Society. Retrieved 8 September 2014.
  9. ^ Anon (2016). "Professor Caroline Series FRS". London: Royal Society. Archived from the original on 29 April 2016. One or more of the preceding sentences incorporates text from the website where:

    “All text published under the heading 'Biography' on Fellow profile pages is available under Creative Commons Attribution 4.0 International License.” --Royal Society Terms, conditions and policies at the Wayback Machine (archived September 25, 2015)

  10. ^ Anon (2017). Series, Prof. Caroline Mary. Who's Who (online Oxford University Press ed.). A & C Black, an imprint of Bloomsbury Publishing plc. doi:10.1093/ww/9780199540884.013.287925. (subscription or UK public library membership required) (subscription required)