Joan S. Birman

7.5k total citations · 1 hit paper
82 papers, 3.8k citations indexed

About

Joan S. Birman is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Joan S. Birman has authored 82 papers receiving a total of 3.8k indexed citations (citations by other indexed papers that have themselves been cited), including 69 papers in Geometry and Topology, 58 papers in Mathematical Physics and 23 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Joan S. Birman's work include Geometric and Algebraic Topology (64 papers), Homotopy and Cohomology in Algebraic Topology (41 papers) and Advanced Combinatorial Mathematics (18 papers). Joan S. Birman is often cited by papers focused on Geometric and Algebraic Topology (64 papers), Homotopy and Cohomology in Algebraic Topology (41 papers) and Advanced Combinatorial Mathematics (18 papers). Joan S. Birman collaborates with scholars based in United States, Australia and United Kingdom. Joan S. Birman's co-authors include William W. Menasco, Hans Wenzl, Hugh M. Hilden, Xiao-Song Lin, R. F. Williams, Sangjin Lee, Ki Hyoung Ko, Caroline Series, Alexander Lubotzky and John E. McCarthy and has published in prestigious journals such as Annals of Mathematics, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Joan S. Birman

78 papers receiving 3.3k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Braids, Links, and Mapping Class Groups

1974 977 citations Joan S. Birman profile →

Peers

Joan S. Birman

GT

MP

DMC

CTM

SNP

W. B. R. Lickorish United Kingdom

Vaughan F. R. Jones United States

C. T. C. Wall United Kingdom

Dale Rolfsen Canada

Hillel Fürstenberg Israel

M. Gromov France

W. O. J. Moser Canada

D. Solitar Canada

A. Karrass Canada

Martin R. Bridson United Kingdom

W. B. R. Lickorish United Kingdom

Joan S. Birman

2.5k ×0.7

GT

1.6k ×0.6

MP

1.0k ×1.1

DMC

559 ×0.9

CTM

109 ×0.3

SNP

Citations per year, relative to Joan S. Birman Joan S. Birman (= 1×) peers W. B. R. Lickorish

Countries citing papers authored by Joan S. Birman

Since Specialization

Citations

This map shows the geographic impact of Joan S. Birman'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 Joan S. Birman with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Joan S. Birman more than expected).

Fields of papers citing papers by Joan S. Birman

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Joan S. Birman. 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 Joan S. Birman. The network helps show where Joan S. Birman may publish in the future.

Co-authorship network of co-authors of Joan S. Birman

This figure shows the co-authorship network connecting the top 25 collaborators of Joan S. Birman. A scholar is included among the top collaborators of Joan S. Birman 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 Joan S. Birman. Joan S. Birman is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Birman, Joan S., Volker Gebhardt, & Juan González-Meneses. (2008). Conjugacy in Garside groups II: structure of the ultra summit set. Groups Geometry and Dynamics. 2(1). 13–61. 19 indexed citations

2.

Birman, Joan S., Volker Gebhardt, & Juan González-Meneses. (2007). Conjugacy in Garside groups III: Periodic braids. Journal of Algebra. 316(2). 746–776. 24 indexed citations

3.

Birman, Joan S. & William W. Menasco. (2006). Stabilization in the braid groups II: Transversal simplicity of knots. Geometry & Topology. 10(3). 1425–1452. 23 indexed citations

4.

Birman, Joan S., Ki Hyoung Ko, & Sangjin Lee. (2001). The Infimum, Supremum, and Geodesic Length of a Braid Conjugacy Class. Advances in Mathematics. 164(1). 41–56. 24 indexed citations

5.

Birman, Joan S., et al.. (1997). Algorithms in the surface mapping class groups. 4 indexed citations

6.

Abikoff, William, et al.. (1994). The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions. Contemporary mathematics - American Mathematical Society. 4 indexed citations

7.

Birman, Joan S. & William W. Menasco. (1992). Studying links via closed braids. V. The unlink. Transactions of the American Mathematical Society. 329(2). 585–606. 37 indexed citations

8.

Birman, Joan S. & William W. Menasco. (1991). Studying links via closed braids II: On a theorem of Bennequin. Topology and its Applications. 40(1). 71–82. 23 indexed citations

9.

Birman, Joan S.. (1991). Recent developments in braid and link theory. The Mathematical Intelligencer. 13(1). 52–60. 5 indexed citations

10.

Birman, Joan S. & Taizo Kanenobu. (1988). Jones’ braid-plat formula and a new surgery triple. Proceedings of the American Mathematical Society. 102(3). 687–695. 9 indexed citations

11.

Birman, Joan S. & Anatoly Libgober. (1988). Braids : proceedings of the AMS-IMS-SIAM joint summer research conference on Artin's braid group held July 13-26, 1986 at the University of California, Santa Cruz, California. American Mathematical Society eBooks. 3 indexed citations

12.

Birman, Joan S., et al.. (1988). Braids. Contemporary mathematics - American Mathematical Society. 1 indexed citations

13.

Birman, Joan S. & Caroline Series. (1985). Geodesics with bounded intersection number on surfaces are sparsely distributed. Topology. 24(2). 217–225. 54 indexed citations

14.

Birman, Joan S. & R. F. Williams. (1983). Knotted periodic orbits in dynamical systems—I: Lorenz's equation. Topology. 22(1). 47–82. 199 indexed citations

15.

Seifert, H. J., et al.. (1980). Seifert and Threlfall : a textbook of topology . Seifert : topology of 3-dimensional fibered spaces. Academic Press eBooks. 5 indexed citations

16.

Birman, Joan S.. (1975). Braids, Links, and Mapping Class Groups. (AM-82). Princeton University Press eBooks. 282 indexed citations

17.

Birman, Joan S.. (1975). Braids, links, and mapping class groups : based on lecture notes by James Cannon. 2 indexed citations

18.

Birman, Joan S. & Hugh M. Hilden. (1973). On Isotopies of Homeomorphisms of Riemann Surfaces. Annals of Mathematics. 97(3). 424–424. 80 indexed citations

19.

Birman, Joan S. & Hugh M. Hilden. (1973). The homeomorphism problem for 𝑆³. Bulletin of the American Mathematical Society. 79(5). 1006–1010. 18 indexed citations

20.

Birman, Joan S.. (1969). Non‐conjugate braids can define isotopic knots. Communications on Pure and Applied Mathematics. 22(2). 239–242. 5 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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