Caroline Series | |
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 Series in 2016 | |
| Born | 24 March 1951 Oxford, England |
| Education | Oxford High School for Girls |
| Alma mater |
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| Father | George Series |
| Awards |
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| Scientific career | |
| Fields | |
| Institutions | |
| Thesis | Ergodic action of product groups (1976) |
| Doctoral advisor | George Mackey [1] |
| Doctoral students | Ralf J. Spatzier [1] |
| Website | homepages |
Caroline Mary Series CBE FRS (born 24 March 1951 [2] ) is an English mathematician known for her work in hyperbolic geometry, Kleinian groups and dynamical systems.
Series was born on March 24, 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]
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 Fuchsian groups. After that she investigated similar, including fractal, geometric patterns in three-dimensional hyperbolic spaces, with Kleinian 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 with whom she published in this area include Linda Keen and Joan Birman.
Series became the third woman to be president of the London Mathematical Society when she held the post in 2017–2019. [5] [6]
She is emeritus professor in mathematics at the University of Warwick. [2]
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). [7] 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. [8]
Series was appointed Commander of the Order of the British Empire (CBE) in the 2023 Birthday Honours for services to mathematics. [14]
She is the daughter of the physicist George Series. [2]
William Paul Thurston was an American mathematician. He was a pioneer in the field of low-dimensional topology and was awarded the Fields Medal in 1982 for his contributions to the study of 3-manifolds.
In mathematics, a Fuchsian group is a discrete subgroup of PSL(2,R). The group PSL(2,R) can be regarded equivalently as a group of orientation-preserving isometries of the hyperbolic plane, or conformal transformations of the unit disc, or conformal transformations of the upper half plane, so a Fuchsian group can be regarded as a group acting on any of these spaces. There are some variations of the definition: sometimes the Fuchsian group is assumed to be finitely generated, sometimes it is allowed to be a subgroup of PGL(2,R), and sometimes it is allowed to be a Kleinian group which is conjugate to a subgroup of PSL(2,R).
Sir Erik Christopher Zeeman FRS, was a British mathematician, known for his work in geometric topology and singularity theory.
Yakov Grigorevich Sinai is a Russian–American mathematician known for his work on dynamical systems. He contributed to the modern metric theory of dynamical systems and connected the world of deterministic (dynamical) systems with the world of probabilistic (stochastic) systems. He has also worked on mathematical physics and probability theory. His efforts have provided the groundwork for advances in the physical sciences.
Dame Frances Clare Kirwan, is a British mathematician, currently Savilian Professor of Geometry at the University of Oxford. Her fields of specialisation are algebraic and symplectic geometry.
Linda Jo Goldway Keen is an American mathematician and a fellow of the American Mathematical Society. Since 1965, she has been a professor in the Department of Mathematics and Computer Science at Lehman College of the City University of New York and a Professor of Mathematics at Graduate Center of the City University of New York.
Brian Hayward Bowditch is a British mathematician known for his contributions to geometry and topology, particularly in the areas of geometric group theory and low-dimensional topology. He is also known for solving the angel problem. Bowditch holds a chaired Professor appointment in Mathematics at the University of Warwick.
Susan Mary Rees, FRS is a British mathematician and an emeritus professor of mathematics at the University of Liverpool since 2018, specialising in research in complex dynamical systems.
David Preiss FRS is a Czech and British mathematician, specializing in mathematical analysis. He is a professor of mathematics at the University of Warwick
James W. Cannon is an American mathematician working in the areas of low-dimensional topology and geometric group theory. He was an Orson Pratt Professor of Mathematics at Brigham Young University.
David Bernard Alper Epstein FRS is a mathematician known for his work in hyperbolic geometry, 3-manifolds, and group theory, amongst other fields. He co-founded the University of Warwick mathematics department with Christopher Zeeman and is founding editor of the journal Experimental Mathematics.
Sir Martin Hairer is an Austrian-British mathematician working in the field of stochastic analysis, in particular stochastic partial differential equations. He is Professor of Mathematics at EPFL and at Imperial College London. He previously held appointments at the University of Warwick and the Courant Institute of New York University. In 2014 he was awarded the Fields Medal, one of the highest honours a mathematician can achieve. In 2020 he won the 2021 Breakthrough Prize in Mathematics.
Cornelia Druțu is a Romanian mathematician notable for her contributions in the area of geometric group theory. She is Professor of mathematics at the University of Oxford and Fellow of Exeter College, Oxford.
Igor Rivin is a Russian-Canadian mathematician, working in various fields of pure and applied mathematics, computer science, and materials science. He was the Regius Professor of Mathematics at the University of St. Andrews from 2015 to 2017, and was the chief research officer at Cryptos Fund until 2019. He is doing research for Edgestream LP, in addition to his academic work.
Hee Oh is a South Korean mathematician who works in dynamical systems. She has made contributions to dynamics and its connections to number theory. She is a student of homogeneous dynamics and has worked extensively on counting and equidistribution for Apollonian circle packings, Sierpinski carpets and Schottky dances. She is currently the Abraham Robinson Professor of Mathematics at Yale University.
Hinke Maria Osinga is a Dutch mathematician and an expert in dynamical systems. She works as a professor of applied mathematics at the University of Auckland in New Zealand. As well as for her research, she is known as a creator of mathematical art.
Jeffrey Farlowe Brock is an American mathematician, working in low-dimensional geometry and topology. He is known for his contributions to the understanding of hyperbolic 3-manifolds and the geometry of Teichmüller spaces.
Albert Marden is an American mathematician, specializing in complex analysis and hyperbolic geometry.
Godfrey Peter Scott, known as Peter Scott, was a British-American mathematician, known for the Scott core theorem.
Samuel James Patterson is a Northern Irish mathematician specializing in analytic number theory. He has been a professor at the University of Göttingen since 1981.
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