Dale Rolfsen

3.4k total citations · 1 hit paper
43 papers, 2.0k citations indexed

About

Dale Rolfsen is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Dale Rolfsen has authored 43 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Geometry and Topology, 19 papers in Mathematical Physics and 7 papers in Computational Theory and Mathematics. Recurrent topics in Dale Rolfsen's work include Geometric and Algebraic Topology (26 papers), Homotopy and Cohomology in Algebraic Topology (16 papers) and semigroups and automata theory (5 papers). Dale Rolfsen is often cited by papers focused on Geometric and Algebraic Topology (26 papers), Homotopy and Cohomology in Algebraic Topology (16 papers) and semigroups and automata theory (5 papers). Dale Rolfsen collaborates with scholars based in Canada, United States and France. Dale Rolfsen's co-authors include Bert Wiest, Luis Paris, James E. Bailey, Steven Boyer, Roger Fenn, Ivan Dynnikov, Patrick Dehornoy, Bernard Perron, A. H. Rhemtulla and Arkady L. Kholodenko and has published in prestigious journals such as Annals of Mathematics, Inventiones mathematicae and Pacific Journal of Mathematics.

In The Last Decade

Dale Rolfsen

40 papers receiving 1.7k citations

Hit Papers

Knots and Links 1976 2026 1992 2009 1976 400 800 1.2k
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.

  1. Knots and Links
    1976 1.3k citations Dale Rolfsen profile →

Peers

Dale Rolfsen
W. B. R. Lickorish United Kingdom
Jim Hoste United States
Ralph H. Fox United States
Vaughan F. R. Jones United States
David N. Yetter United States
Adrian Ocneanu United States
G. D. Mostow United States
Louis W. Shapiro United States
Valentin Poénaru France
Jay R. Goldman United States
W. B. R. Lickorish United Kingdom
Dale Rolfsen
Citations per year, relative to Dale Rolfsen Dale Rolfsen (= 1×) peers W. B. R. Lickorish

Countries citing papers authored by Dale Rolfsen

Since Specialization
Citations

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

Fields of papers citing papers by Dale Rolfsen

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Dale Rolfsen. 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 Dale Rolfsen. The network helps show where Dale Rolfsen may publish in the future.

Co-authorship network of co-authors of Dale Rolfsen

This figure shows the co-authorship network connecting the top 25 collaborators of Dale Rolfsen. A scholar is included among the top collaborators of Dale Rolfsen 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 Dale Rolfsen. Dale Rolfsen 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.
Rolfsen, Dale, et al.. (2018). Braids, orderings, and minimal volume cusped hyperbolic 3-manifolds. Groups Geometry and Dynamics. 12(3). 961–1004. 3 indexed citations
2.
Rolfsen, Dale, et al.. (2016). Ordered Groups and Topology. Graduate studies in mathematics. 21 indexed citations
3.
Dehornoy, Patrick, Ivan Dynnikov, Dale Rolfsen, & Bert Wiest. (2008). Ordering Braids. Mathematical surveys and monographs. 19 indexed citations
4.
Linnell, Peter A., A. H. Rhemtulla, & Dale Rolfsen. (2008). Invariant group orderings and Galois conjugates. Journal of Algebra. 319(12). 4891–4898. 6 indexed citations
5.
Boyer, Steven, Dale Rolfsen, & Bert Wiest. (2005). Orderable 3-manifold groups. Annales de l’institut Fourier. 55(1). 243–288. 62 indexed citations
6.
Rolfsen, Dale. (2003). Knots and Links. American Mathematical Society eBooks. 96 indexed citations
7.
Rolfsen, Dale. (2003). New developments in the theory of Artin's braid groups. Topology and its Applications. 127(1-2). 77–90. 9 indexed citations
8.
Rolfsen, Dale, et al.. (2003). An Ordering for Groups of Pure Braids and Fibre-Type Hyperplane Arrangements. Canadian Journal of Mathematics. 55(4). 822–838. 15 indexed citations
9.
Perron, Bernard & Dale Rolfsen. (2003). On orderability of fibred knot groups. Mathematical Proceedings of the Cambridge Philosophical Society. 135(1). 147–153. 18 indexed citations
10.
Dehornoy, Patrick, Ivan Dynnikov, Dale Rolfsen, & Bert Wiest. (2002). Why are braids orderable. 1–185. 35 indexed citations
11.
Rhemtulla, A. H. & Dale Rolfsen. (2002). Local indicability in ordered groups: Braids and elementary amenable groups. Proceedings of the American Mathematical Society. 130(9). 2569–2577. 14 indexed citations
12.
Paris, Luis & Dale Rolfsen. (1999). Geometric subgroups of surface braid groups. Annales de l’institut Fourier. 49(2). 417–472. 31 indexed citations
13.
Kholodenko, Arkady L. & Dale Rolfsen. (1996). Knot complexity and related observables from path integrals for semiflexible polymers. Journal of Physics A Mathematical and General. 29(17). 5677–5691. 17 indexed citations
14.
Anstee, R.P., Józef H. Przytycki, & Dale Rolfsen. (1989). Knot polynomials and generalized mutation. Topology and its Applications. 32(3). 237–249. 23 indexed citations
15.
Koschorke, Ulrich & Dale Rolfsen. (1989). Higher-dimensional link operations and stable homotopy. Pacific Journal of Mathematics. 139(1). 87–106. 10 indexed citations
16.
Millett, Kenneth C. & Dale Rolfsen. (1986). A theorem of Borsuk—Ulam type for Seifert-fibred 3-manifolds. Mathematical Proceedings of the Cambridge Philosophical Society. 100(3). 523–532. 1 indexed citations
17.
Gillman, David & Dale Rolfsen. (1983). The Zeeman conjecture for standard spines is equivalent to the poincaré conjecture. Topology. 22(3). 315–323. 14 indexed citations
18.
Martin, Joseph & Dale Rolfsen. (1968). Homotopic arcs are isotopic. Proceedings of the American Mathematical Society. 19(6). 1290–1292.
19.
Rolfsen, Dale. (1968). Strongly convex metrics in cells. Bulletin of the American Mathematical Society. 74(1). 171–176. 9 indexed citations
20.
Rolfsen, Dale, et al.. (1968). Homotopic Arcs Are Isotopic. Proceedings of the American Mathematical Society. 19(6). 1290–1290. 1 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by W. B. R. Lickorish Breakdown of academic impact, for papers by Jim Hoste Breakdown of academic impact, for papers by Ralph H. Fox Breakdown of academic impact, for papers by Vaughan F. R. Jones Breakdown of academic impact, for papers by David N. Yetter Breakdown of academic impact, for papers by Adrian Ocneanu Breakdown of academic impact, for papers by G. D. Mostow Breakdown of academic impact, for papers by Louis W. Shapiro Breakdown of academic impact, for papers by Valentin Poénaru Breakdown of academic impact, for papers by Jay R. Goldman
Rankless by CCL
2026