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Fellows Directory

Caroline Series

Professor Caroline Series FRS


Elected: 2016


Caroline Series is a pure mathematician known for her work on symbolic coding of geodesics on hyperbolic surfaces and for novel contributions to the study of three dimensional hyperbolic manifolds via their fractal limit sets. She proved important results on simple curves on surfaces. In three dimensions, she developed methods which in principle allow one to compute the discreteness locus of a parameterised family of Moebius maps.  Her beautiful book Indra's Pearls, coauthored by D. Mumford and D. Wright, gives some background flavour.  

Caroline was a Kennedy Scholar at Harvard. She was awarded a Junior Whitehead Prize by the London Mathematical Society in 1987 and its first Senior Anne Bennett prize in 2014. She held an EPSRC Senior Research Fellowship 1999 -- 2004.  She is a fellow of the American Mathematical Society and of the Institute of Mathematics and Applications.  

In 1986 she was a founder member of European Women in Mathematics, and in 2015 became the first vice-chair of the International Mathematical Union’s Committee for Women in Mathematics. Her father was the physicist G. W. Series FRS.

Professional positions

Professor Emeritus, Mathematics Institute, University of Warwick

Interests and expertise

Subject groups


Dynamical systems, Geometry