Caroline Series

2.4k total citations
48 papers, 1.2k citations indexed

About

Caroline Series is a scholar working on Mathematical Physics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Caroline Series has authored 48 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Mathematical Physics, 31 papers in Geometry and Topology and 10 papers in Computational Theory and Mathematics. Recurrent topics in Caroline Series's work include Geometric and Algebraic Topology (28 papers), Mathematical Dynamics and Fractals (25 papers) and Advanced Combinatorial Mathematics (6 papers). Caroline Series is often cited by papers focused on Geometric and Algebraic Topology (28 papers), Mathematical Dynamics and Fractals (25 papers) and Advanced Combinatorial Mathematics (6 papers). Caroline Series collaborates with scholars based in United Kingdom, United States and Russia. Caroline Series's co-authors include Rufus Bowen, Linda Keen, Joan S. Birman, David Mumford, David Wright, D. J. Wright, Ya. G. Sinaǐ, Andrew Haas, Robert Brooks and John R. Parker and has published in prestigious journals such as Communications in Mathematical Physics, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Caroline Series

47 papers receiving 991 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Caroline Series United Kingdom 18 869 701 235 219 206 48 1.2k
Elon Lindenstrauss Israel 21 1.4k 1.6× 767 1.1× 286 1.2× 204 0.9× 339 1.6× 59 1.5k
Eugène Gutkin United States 19 646 0.7× 440 0.6× 623 2.7× 116 0.5× 153 0.7× 75 1.1k
Michael Brin United States 15 774 0.9× 533 0.8× 426 1.8× 279 1.3× 134 0.7× 27 1.1k
Irwin Kra United States 20 660 0.8× 1.1k 1.6× 227 1.0× 658 3.0× 158 0.8× 62 1.7k
Анатолий Моисеевич Вершик Russia 17 735 0.8× 432 0.6× 112 0.5× 183 0.8× 203 1.0× 94 1.1k
John Franks United States 26 1.6k 1.9× 1.4k 1.9× 689 2.9× 249 1.1× 340 1.7× 77 2.0k
G. A. Margulis United States 27 1.4k 1.6× 1.1k 1.5× 189 0.8× 405 1.8× 238 1.2× 62 1.9k
Józef Dodziuk United States 15 484 0.6× 498 0.7× 51 0.2× 353 1.6× 287 1.4× 28 941
Howard Masur United States 24 2.0k 2.3× 2.0k 2.8× 400 1.7× 554 2.5× 337 1.6× 59 2.5k
Curt McMullen United States 10 701 0.8× 471 0.7× 151 0.6× 238 1.1× 127 0.6× 12 864

Countries citing papers authored by Caroline Series

Since Specialization
Citations

This map shows the geographic impact of Caroline Series's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Caroline Series with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Caroline Series more than expected).

Fields of papers citing papers by Caroline Series

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Caroline Series. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Caroline Series. The network helps show where Caroline Series may publish in the future.

Co-authorship network of co-authors of Caroline Series

This figure shows the co-authorship network connecting the top 25 collaborators of Caroline Series. A scholar is included among the top collaborators of Caroline Series based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Caroline Series. Caroline Series is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Bufetov, Alexander I., et al.. (2023). Convergence of spherical averages for actions of Fuchsian groups. Commentarii Mathematici Helvetici. 98(1). 41–134.
2.
Bufetov, Alexander I., et al.. (2020). A symmetric Markov coding and the ergodic theorem for actions of Fuchsian Groups. French digital mathematics library (Numdam). 1. 5–14. 1 indexed citations
3.
Goldman, William M., Caroline Series, & Ser Peow Tan. (2012). Geometry, Topology and Dynamics of Character Varieties. 1 indexed citations
4.
Bufetov, Alexander I. & Caroline Series. (2011). A pointwise ergodic theorem for Fuchsian groups. Mathematical Proceedings of the Cambridge Philosophical Society. 151(1). 145–159. 7 indexed citations
5.
Rafi, Kasra, et al.. (2008). Lines of minima are uniformly quasigeodesic. Pacific Journal of Mathematics. 237(1). 21–44. 1 indexed citations
6.
Series, Caroline, et al.. (2006). Lengths are coordinates for convex structures. Journal of Differential Geometry. 73(1). 5 indexed citations
7.
Series, Caroline, et al.. (2003). Limit points of lines of minima in Thurston's boundary of Teichmüller space. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 3 indexed citations
8.
Keen, Linda & Caroline Series. (2003). Pleating invariants for punctured torus groups. Topology. 43(2). 447–491. 10 indexed citations
9.
Mumford, David, Caroline Series, & David Wright. (2002). Indra's Pearls. Cambridge University Press eBooks. 66 indexed citations
10.
Series, Caroline, et al.. (2001). Pleating coordinates for the Earle embedding. Annales de la faculté des sciences de Toulouse Mathématiques. 10(1). 69–105. 5 indexed citations
11.
Series, Caroline. (2001). An extension of Wolpert’s derivative formula. Pacific Journal of Mathematics. 197(1). 223–239. 12 indexed citations
12.
Series, Caroline. (1999). Lectures on Pleating Coordinates for Once Punctured Tori (Hyperbolic Spaces and Related Topics). Kyoto University Research Information Repository (Kyoto University). 1104. 30–90. 4 indexed citations
13.
Series, Caroline, et al.. (1998). The Riley slice revisited. Geometry and topology monographs. 303–316. 3 indexed citations
14.
Keen, Linda & Caroline Series. (1993). Pleating coordinates for the maskit embedding of the teichmüller space of punctured tori. Topology. 32(4). 719–749. 42 indexed citations
15.
Keen, Linda & Caroline Series. (1992). Pleating coordinates for the Teichmüller space of a punctured torus. Bulletin of the American Mathematical Society. 26(1). 141–146. 4 indexed citations
16.
Series, Caroline, et al.. (1991). Ergodic theory, symbolic dynamics, and hyperbolic spaces. Oxford University Press eBooks. 119 indexed citations
17.
Birman, Joan S. & Caroline Series. (1985). Geodesics with bounded intersection number on surfaces are sparsely distributed. Topology. 24(2). 217–225. 54 indexed citations
18.
Brooks, Robert & Caroline Series. (1984). Bounded cohomology for surface groups. Topology. 23(1). 29–36. 19 indexed citations
19.
Series, Caroline. (1981). Symbolic dynamics for geodesic floes. Acta Mathematica. 146(0). 103–128. 49 indexed citations
20.
Series, Caroline. (1979). Foliations of polynomial growth are hyperfinite. Israel Journal of Mathematics. 34(3). 245–258. 10 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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