Roger Fenn

2.3k total citations
47 papers, 1.0k citations indexed

About

Roger Fenn is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Roger Fenn has authored 47 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Geometry and Topology, 24 papers in Mathematical Physics and 10 papers in Computational Theory and Mathematics. Recurrent topics in Roger Fenn's work include Geometric and Algebraic Topology (28 papers), Homotopy and Cohomology in Algebraic Topology (21 papers) and Advanced Combinatorial Mathematics (8 papers). Roger Fenn is often cited by papers focused on Geometric and Algebraic Topology (28 papers), Homotopy and Cohomology in Algebraic Topology (21 papers) and Advanced Combinatorial Mathematics (8 papers). Roger Fenn collaborates with scholars based in United Kingdom, Canada and Japan. Roger Fenn's co-authors include Colin Rourke, Brian Sanderson, Louis H. Kauffman, Richárd Rimányi, Dale Rolfsen, Vassily Olegovich Manturov, Bert Wiest, C. P. Rourke, Vladimir Turaev and M. J. Dunwoody and has published in prestigious journals such as Nature, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Roger Fenn

42 papers receiving 892 citations

Peers

Roger Fenn
Alan W. Reid United States
J. Scott Carter United States
Daniel T. Wise Canada
S. M. Gersten United States
Seiichi Kamada Japan
Dan Margalit United States
Akio Kawauchi Japan
Marc Culler United States
Allan L. Edmonds United States
Julius L. Shaneson United States
Alan W. Reid United States
Roger Fenn
Citations per year, relative to Roger Fenn Roger Fenn (= 1×) peers Alan W. Reid

Countries citing papers authored by Roger Fenn

Since Specialization
Citations

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

Fields of papers citing papers by Roger Fenn

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Roger Fenn

This figure shows the co-authorship network connecting the top 25 collaborators of Roger Fenn. A scholar is included among the top collaborators of Roger Fenn 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 Roger Fenn. Roger Fenn 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.
Fenn, Roger. (2024). Combinatorial Knot Theory. 1 indexed citations
2.
Fenn, Roger, et al.. (2022). Alexander and Markov theorems for generalized knots, II generalized braids. Journal of Knot Theory and Its Ramifications. 31(8).
3.
Fenn, Roger, et al.. (2018). On gauss codes of virtual doodles. Journal of Knot Theory and Its Ramifications. 27(11). 1843013–1843013. 4 indexed citations
4.
Fenn, Roger, et al.. (2008). QUATERNIONIC INVARIANTS OF VIRTUAL KNOTS AND LINKS. Journal of Knot Theory and Its Ramifications. 17(2). 231–251. 23 indexed citations
5.
Fenn, Roger. (2008). QUATERNION ALGEBRAS AND INVARIANTS OF VIRTUAL KNOTS AND LINKS I: THE ELLIPTIC CASE. Journal of Knot Theory and Its Ramifications. 17(3). 279–304. 2 indexed citations
6.
Fenn, Roger & Vladimir Turaev. (2006). Weyl algebras and knots. Journal of Geometry and Physics. 57(5). 1313–1324. 10 indexed citations
7.
Fenn, Roger, Colin Rourke, & Brian Sanderson. (2006). The rack space. Transactions of the American Mathematical Society. 359(2). 701–740. 29 indexed citations
8.
Fenn, Roger, et al.. (2004). Biquandles and virtual links. Topology and its Applications. 145(1-3). 157–175. 76 indexed citations
9.
Fenn, Roger. (2000). KNOTTED SURFACES AND THEIR DIAGRAMS (Mathematical Surveys and Monographs 55). Bulletin of the London Mathematical Society. 32(5). 628–629. 6 indexed citations
10.
Fenn, Roger, Richárd Rimányi, & Colin Rourke. (1997). The braid-permutation group. Topology. 36(1). 123–135. 90 indexed citations
11.
Fenn, Roger, et al.. (1996). CENTRALISERS IN THE BRAID GROUP AND SINGULAR BRAID MONOID. Figshare. 27 indexed citations
12.
Fenn, Roger & Colin Rourke. (1992). RACKS AND LINKS IN CODIMENSION TWO. Journal of Knot Theory and Its Ramifications. 1(4). 343–406. 228 indexed citations
13.
Dunwoody, M. J. & Roger Fenn. (1987). On the finiteness of higher knot sums. Topology. 26(3). 337–343. 8 indexed citations
14.
Fenn, Roger, et al.. (1985). Low Dimensional Topology. Cambridge University Press eBooks. 9 indexed citations
15.
Fenn, Roger. (1983). What is the Geometry of a Surface?. American Mathematical Monthly. 90(2). 87–98. 3 indexed citations
16.
Fenn, Roger. (1983). What is the Geometry of a Surface?. American Mathematical Monthly. 90(2). 87–87. 2 indexed citations
17.
18.
Fenn, Roger & Colin Rourke. (1979). On Kirby's calculus of links. Topology. 18(1). 1–15. 63 indexed citations
19.
Fenn, Roger. (1970). Embedding Polyhedra. Bulletin of the London Mathematical Society. 2(3). 316–318. 3 indexed citations
20.
Fenn, Roger. (1970). The Table Theorem. Bulletin of the London Mathematical Society. 2(1). 73–76. 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Alan W. Reid Breakdown of academic impact, for papers by J. Scott Carter Breakdown of academic impact, for papers by Daniel T. Wise Breakdown of academic impact, for papers by S. M. Gersten Breakdown of academic impact, for papers by Seiichi Kamada Breakdown of academic impact, for papers by Dan Margalit Breakdown of academic impact, for papers by Akio Kawauchi Breakdown of academic impact, for papers by Marc Culler Breakdown of academic impact, for papers by Allan L. Edmonds Breakdown of academic impact, for papers by Julius L. Shaneson
Rankless by CCL
2026