Caroline Series

Q: What Schools Are Affiliated With Caroline Series

Caroline Series is affiliated with the following schools: University of Warwick, Harvard University

Caroline Series's AcademicInfluence.com Rankings

Caroline Series

Mathematics

#1460

World Rank

#2391

Historical Rank

Measure Theory

#3119

World Rank

#3700

Historical Rank

mathematics Degrees

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Mathematics

Why Is Caroline Series Influential?

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According to Wikipedia, Caroline Mary Series is an English mathematician known for her work in hyperbolic geometry, Kleinian groups and dynamical systems. Early life and education Series was born on March 24, 1951, in Oxford to Annette and George Series. She attended Oxford High School for Girls and from 1969 studied at Somerville College, Oxford, where she was interviewed for admission by Anne Cobbe. 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 supervised by George Mackey on the Ergodicity of product groups.

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Caroline Series's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Ergodic theory, symbolic dynamics, and hyperbolic spaces (1991) (369)
The modular surface and continued fractions (1985) (303)
Markov maps associated with fuchsian groups (1979) (240)
The geometry of markoff numbers (1985) (223)
Indra's Pearls: The Vision of Felix Klein (2002) (174)
Geodesics with bounded intersection number on surfaces are sparsely distributed (1985) (110)
Pleating coordinates for the Maskit embedding of the Teichmuller space of punctured tori (1993) (90)
Symbolic dynamics for geodesic floes (1981) (74)
The Riley Slice of Schottky Space (1994) (72)
An Algorithm for Simple Curves on Surfaces (1984) (67)
The infinite word problem and limit sets in Fuchsian groups (1981) (64)
Geometrical Markov coding of geodesics on surfaces of constant negative curvature (1986) (48)
DEHN’S ALGORITHM REVISITED, WITH APPLICATIONS TO SIMPLE CURVES ON SURFACES (1987) (40)
Lines of Minima and Teichmüller Geodesics (2006) (39)
The Hurwitz Constant and Diophantine Approximation on Hecke Groups (1986) (39)
Martin boundaries of random walks on Fuchsian groups (1983) (38)
Continuity of convex hull boundaries (1995) (34)
Pleating invariants for punctured torus groups (2002) (33)
AN EXTENSION OF WOLPERT'S DERIVATIVE FORMULA (2001) (32)
A Crash Course on Kleinian Groups (2005) (31)
Bounded cohomology for surface groups (1984) (29)
FINITE GROUPS OF MAPPING CLASSES OF SURFACES (Lecture Notes in Mathematics, 875) (1982) (29)
Limits of quasi-Fuchsian groups with small bending (2002) (26)
Bending formulae for convex hull boundaries (1995) (24)
Non-euclidean geometry, continued fractions, and ergodic theory (1982) (22)
How to bend pairs of punctured tori (1997) (21)
Geometry, topology and dynamics of character varieties (2012) (21)
Foliations of polynomial growth are hyperfinite (1979) (21)
A pointwise ergodic theorem for Fuchsian groups (2010) (18)
Lengths are coordinates for convex structures (2004) (16)
Pleating coordinates for the Earle embedding (2001) (16)
Limits of limit sets I (2011) (16)
Kleinian Groups and Hyperbolic 3-Manifolds: Hyperbolic 3-manifolds (2003) (15)
Some geometrical models of chaotic dynamics (1987) (15)
The Poincare Flow of a Foliation (1980) (13)
Limit points of lines of minima in Thurston's boundary of Teichmüller space (2003) (13)
Spaces of Kleinian Groups: Thurston's bending measure conjecture for once punctured torus groups (2004) (13)
The Riley slice revisited (1998) (12)
An application of groupoid cohomology. (1981) (12)
On Kerckhoff Minima and Pleating Loci for Quasi-Fuchsian Groups (2001) (12)
Limits of limit sets, II: Geometrically infinite groups (2013) (12)
Jørgensen's picture of punctured torus groups and its refinement (2003) (11)
The Rohlin tower theorem and hyper-finiteness for actions of continuous groups (1978) (11)
Moduli of continuity of Cannon–Thurston maps (2006) (11)
The diagonal slice of Schottky space (2014) (11)
Pleating coordinates for the Teichmüller space of a punctured torus (1992) (10)
The Markoff Spectrum in the Hecke Group G5 (1988) (10)
ALGEBRAIC LINEARITY FOR AN AUTOMORPHISM OF A SURFACE GROUP (1988) (10)
Searching for the cusp (2006) (9)
Combinatorics of simple closed curves on the twice punctured torus (1999) (9)
Ergodic actions of product groups (1977) (7)
Lectures on Pleating Coordinates for Once Punctured Tori (Hyperbolic Spaces and Related Topics) (1999) (7)
Kerckhoff’s lines of minima in Teichmüller space (2012) (7)
Examples of pleating varieties for twice punctured tori (2003) (6)
LINES OF MINIMA ARE UNIFORMLY QUASIGEODESIC (2007) (5)
Primitive stability and Bowditch's BQ-condition are equivalent (2019) (5)
The mapping class group of the twice punctured torus (2004) (5)
Top terms of polynomial traces in Kra's plumbing construction. (2010) (4)
Symbolic dynamics and Diophantine equations (1989) (4)
The Maskit embedding of the twice punctured torus (2008) (3)
On topologically tame Kleinian groups with bounded geometry (2006) (3)
Quasi-arcs in the limit set of a singly degenerate group with bounded geometry (2003) (2)
Primitive stability and the Bowditch conditions revisited (2020) (2)
Spaces of Kleinian groups (2006) (2)
Continued Fractions and Hyperbolic Geometry (2015) (2)
Non-Euclidean Kaleidoscopes (1990) (1)
Limits of limit sets I (2012) (1)
The language of symmetry (2002) (1)
Convergence of spherical averages for actions of Fuchsian Groups (2018) (1)
Kleinian groups and hyperbolic 3-manifolds : proceedings of the Warwick Workshop, September 11-14, 2001 (2003) (1)
The Ergodic Theory Of Discrete Groups By P. J. Nicholls: £19.50, Paperback, 221 pp, ISBN 0 521 37674 2. (1990) (0)
The glowing gasket (2002) (0)
Indra's necklace (2002) (0)
Additional comments (1979) (0)
Accidents will happen pages 268 to 291 (2002) (0)
Indra's Pearls: An Atlas of Kleinian Groups (2002) (0)
Crossing boundaries pages 353 to 365 (2002) (0)
Fractal dust and infinite words (2002) (0)
Crossing boundaries 365 to 372 (2002) (0)
A Problem in Ergodic Theory (1982) (0)
Playing with parameters pages 245 to 267 (2002) (0)
The Schottky dance pages 96 to 107 (2002) (0)
Double spirals and Möbius maps (2002) (0)
Accidents will happen pages 291 to 296 (2002) (0)
Between the cracks pages 310 to 320 (2002) (0)
The Schottky dance pages 107 to 120 (2002) (0)
Accidents will happen pages 296 to 309 (2002) (0)
THE MASKIT EMBEDDING OF THE TWICE (2008) (0)
And what became of the women (2009) (0)
WHY IS THERE HYPERBOLIC GEOMETRY IN DYNAMICS (2003) (0)
Between the cracks pages 320 to 330 (2002) (0)
GAFA Geometric And Functional Analysis LINES OF MINIMA AND TEICHMÜLLER GEODESICS (2008) (0)
Between the cracks pages 331 to 340 (2002) (0)
Between the cracks pages 345 to 352 (2002) (0)
Jeremy Gray. Linear Differential Equations and Group Theory from Riemann to Poincaré . Basel & Boston: Birkhauser, 1986. Pp. xxv + 460. ISBN 3-7643-3318-9 (Basel), 0-8176-3318-9 (Boston). $51.00. (1988) (0)
A symmetric Markov coding and the ergodic theorem for actions of Fuchsian Groups (2020) (0)
A delightful fiction (2002) (0)
Playing with parameters pages 224 to 244 (2002) (0)
Between the cracks pages 340 to 345 (2002) (0)
A CRASH COURSE ON etc . 3 Chapter 1 : Kleinian group basics (2008) (0)

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Other Resources About Caroline Series

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What Schools Are Affiliated With Caroline Series?

Caroline Series is affiliated with the following schools:

Caroline Series's Academic­Influence.com Rankings