Stephen Bigelow

775 total citations
15 papers, 206 citations indexed

About

Stephen Bigelow is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Stephen Bigelow has authored 15 papers receiving a total of 206 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Geometry and Topology, 11 papers in Mathematical Physics and 9 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Stephen Bigelow's work include Geometric and Algebraic Topology (11 papers), Advanced Combinatorial Mathematics (9 papers) and Homotopy and Cohomology in Algebraic Topology (7 papers). Stephen Bigelow is often cited by papers focused on Geometric and Algebraic Topology (11 papers), Advanced Combinatorial Mathematics (9 papers) and Homotopy and Cohomology in Algebraic Topology (7 papers). Stephen Bigelow collaborates with scholars based in United States, Australia and Italy. Stephen Bigelow's co-authors include Jianjun Paul Tian, Noah Snyder and Scott Morrison and has published in prestigious journals such as Journal of the American Mathematical Society, Journal of Symbolic Logic and Journal of Pure and Applied Algebra.

In The Last Decade

Stephen Bigelow

13 papers receiving 182 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Stephen Bigelow United States 6 192 159 70 21 16 15 206
Daan Krammer United Kingdom 6 234 1.2× 170 1.1× 106 1.5× 57 2.7× 19 1.2× 10 260
Adrian Vasiu United States 8 152 0.8× 121 0.8× 48 0.7× 20 1.0× 19 1.2× 25 162
Benjamin Martin United Kingdom 9 180 0.9× 177 1.1× 144 2.1× 11 0.5× 31 1.9× 24 216
Eriko Hironaka United States 8 177 0.9× 134 0.8× 80 1.1× 53 2.5× 15 0.9× 20 200
Alina Vdovina United Kingdom 8 120 0.6× 92 0.6× 63 0.9× 40 1.9× 20 1.3× 37 159
Yair Glasner Israel 6 129 0.7× 108 0.7× 52 0.7× 55 2.6× 17 1.1× 23 158
Shaun Stevens United Kingdom 10 172 0.9× 194 1.2× 85 1.2× 9 0.4× 50 3.1× 26 218
Ian J. Leary United Kingdom 9 226 1.2× 208 1.3× 72 1.0× 17 0.8× 44 2.8× 39 241
José Burillo Spain 8 173 0.9× 124 0.8× 72 1.0× 68 3.2× 19 1.2× 27 196
Dong Youp Suh South Korea 8 142 0.7× 121 0.8× 69 1.0× 12 0.6× 23 1.4× 29 172

Countries citing papers authored by Stephen Bigelow

Since Specialization
Citations

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

Fields of papers citing papers by Stephen Bigelow

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Stephen Bigelow

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

All Works

15 of 15 papers shown
1.
Bigelow, Stephen, et al.. (2018). AN EXACT ENTANGLING GATE USING FIBONACCI ANYONS. Bulletin of the Australian Mathematical Society. 99(2). 319–326. 1 indexed citations
2.
Bigelow, Stephen, et al.. (2015). Alexander Representation of Tangles. Acta Mathematica Vietnamica. 40(2). 339–352. 2 indexed citations
3.
Bigelow, Stephen, et al.. (2012). THE ALEXANDER AND JONES POLYNOMIALS THROUGH REPRESENTATIONS OF ROOK ALGEBRAS. Journal of Knot Theory and Its Ramifications. 21(12). 1250114–1250114. 4 indexed citations
4.
Bigelow, Stephen. (2012). A DIAGRAMMATIC ALEXANDER INVARIANT OF TANGLES. Journal of Knot Theory and Its Ramifications. 21(8). 1250081–1250081. 2 indexed citations
5.
Bigelow, Stephen. (2009). Skein theory for the ADE planar algebras. Journal of Pure and Applied Algebra. 214(5). 658–666. 8 indexed citations
6.
Bigelow, Stephen, et al.. (2009). Constructing the extended Haagerup planar algebra. DSpace@MIT (Massachusetts Institute of Technology).
7.
Bigelow, Stephen & Jianjun Paul Tian. (2008). GENERALIZED LONG-MOODY REPRESENTATIONS OF BRAID GROUPS. Communications in Contemporary Mathematics. 10(supp01). 1093–1102. 1 indexed citations
8.
Bigelow, Stephen. (2007). A homological definition of the HOMFLY polynomial. Algebraic & Geometric Topology. 7(3). 1409–1440. 2 indexed citations
9.
Bigelow, Stephen. (2004). Homological representations of the Iwahori–Hecke algebra. Geometry and topology monographs. 493–507. 8 indexed citations
10.
Bigelow, Stephen. (2002). A homological definition of the Jones polynomial. Geometry and topology monographs. 29–41. 17 indexed citations
11.
Bigelow, Stephen. (2002). DOES THE JONES POLYNOMIAL DETECT THE UNKNOT?. Journal of Knot Theory and Its Ramifications. 11(4). 493–505. 15 indexed citations
12.
Bigelow, Stephen. (2002). A homological denition of the Jones polynomial. 1 indexed citations
13.
Bigelow, Stephen, et al.. (2001). The mapping class group of a genus two surface is linear. Algebraic & Geometric Topology. 1(2). 699–708. 26 indexed citations
14.
Bigelow, Stephen. (2000). Braid groups are linear. Journal of the American Mathematical Society. 14(2). 471–486. 116 indexed citations
15.
Bigelow, Stephen. (1998). Supplements of bounded permutation groups. Journal of Symbolic Logic. 63(1). 89–102. 3 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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