Sam Nelson

1.2k total citations
73 papers, 491 citations indexed

About

Sam Nelson is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Sam Nelson has authored 73 papers receiving a total of 491 indexed citations (citations by other indexed papers that have themselves been cited), including 67 papers in Geometry and Topology, 42 papers in Mathematical Physics and 39 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Sam Nelson's work include Geometric and Algebraic Topology (66 papers), Advanced Combinatorial Mathematics (38 papers) and Homotopy and Cohomology in Algebraic Topology (35 papers). Sam Nelson is often cited by papers focused on Geometric and Algebraic Topology (66 papers), Advanced Combinatorial Mathematics (38 papers) and Homotopy and Cohomology in Algebraic Topology (35 papers). Sam Nelson collaborates with scholars based in United States, Japan and South Korea. Sam Nelson's co-authors include Mohamed Elhamdadi, Michael Neumann, R. A. Litherland, Michele Masuda, Jerome J. Pella, Deanna Needell, Alissa S. Crans, Wesley Chang, Radmila Sazdanović and Roberto Triggiani and has published in prestigious journals such as Transactions of the American Mathematical Society, Numerische Mathematik and Proceedings of the American Mathematical Society.

In The Last Decade

Sam Nelson

64 papers receiving 441 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Sam Nelson United States 11 400 264 226 125 34 73 491
Ki Hyoung Ko South Korea 13 419 1.0× 307 1.2× 139 0.6× 133 1.1× 23 0.7× 25 481
Xiao-Song Lin United States 12 668 1.7× 506 1.9× 290 1.3× 125 1.0× 20 0.6× 38 719
J. Scott Carter United States 10 568 1.4× 404 1.5× 230 1.0× 123 1.0× 51 1.5× 26 596
Pierre Antoine Grillet United States 12 181 0.5× 132 0.5× 29 0.1× 297 2.4× 142 4.2× 73 551
Sergei Chmutov United States 10 297 0.7× 163 0.6× 204 0.9× 91 0.7× 18 0.5× 24 351
Abigail Thompson United States 12 385 1.0× 240 0.9× 124 0.5× 117 0.9× 6 0.2× 37 422
François Laudenbach France 10 395 1.0× 318 1.2× 67 0.3× 82 0.7× 21 0.6× 44 476
Michael Fuchs Taiwan 10 50 0.1× 162 0.6× 33 0.1× 58 0.5× 19 0.6× 55 302
Alan W. Reid United States 18 1.1k 2.7× 859 3.3× 308 1.4× 148 1.2× 54 1.6× 89 1.1k
Matt DeVos Canada 12 122 0.3× 20 0.1× 164 0.7× 256 2.0× 10 0.3× 37 442

Countries citing papers authored by Sam Nelson

Since Specialization
Citations

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

Fields of papers citing papers by Sam Nelson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Sam Nelson

This figure shows the co-authorship network connecting the top 25 collaborators of Sam Nelson. A scholar is included among the top collaborators of Sam Nelson 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 Sam Nelson. Sam Nelson 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.
Nelson, Sam, et al.. (2023). Correction to: Quantum Enhancements via Tribracket Brackets. Mediterranean Journal of Mathematics. 21(1).
2.
Nelson, Sam, et al.. (2021). Biquandle Brackets and Knotoids. İYTE (İZMİR YÜKSEK TEKNOLOJİ ENSTİTÜSÜ). 2 indexed citations
3.
Nelson, Sam, et al.. (2020). Biquandle module invariants of oriented surface-links. Proceedings of the American Mathematical Society. 148(7). 3135–3148. 1 indexed citations
4.
Nelson, Sam, et al.. (2019). Local biquandles and Niebrzydowski's tribracket theory. Topology and its Applications. 258. 474–512. 6 indexed citations
5.
Nelson, Sam, et al.. (2019). Quandle cocycle quivers. Topology and its Applications. 268. 106908–106908. 2 indexed citations
6.
Nelson, Sam, et al.. (2019). Virtual tribrackets. Journal of Knot Theory and Its Ramifications. 28(4). 1950026–1950026. 2 indexed citations
7.
Nelson, Sam, et al.. (2018). Biquasile colorings of oriented surface-links. Topology and its Applications. 236. 64–76. 7 indexed citations
8.
Nelson, Sam, et al.. (2018). Virtual links with finite medial bikei. Journal of Symbolic Computation. 92. 211–221. 1 indexed citations
9.
Elhamdadi, Mohamed, M. Liu, & Sam Nelson. (2018). Quasi-trivial quandles and biquandles, cocycle enhancements and link-homotopy of pretzel links. Journal of Knot Theory and Its Ramifications. 27(11). 1843007–1843007. 2 indexed citations
10.
Nelson, Sam, et al.. (2017). Quantum enhancements and biquandle brackets. Journal of Knot Theory and Its Ramifications. 26(5). 1750034–1750034. 10 indexed citations
11.
Nelson, Sam, et al.. (2016). Lie Ideal Enhancements of Counting Invariants. Osaka Journal of Mathematics. 53(4). 1015–1027. 1 indexed citations
12.
Elhamdadi, Mohamed & Sam Nelson. (2015). Quandles. 57 indexed citations
13.
Nelson, Sam, et al.. (2014). Polynomial birack modules. Topology and its Applications. 173. 285–293. 2 indexed citations
14.
Crans, Alissa S. & Sam Nelson. (2014). Hom quandles. Journal of Knot Theory and Its Ramifications. 23(2). 1450010–1450010. 4 indexed citations
15.
Nelson, Sam, et al.. (2012). Rack module enhancements of counting invariants. Osaka Journal of Mathematics. 49(2). 471–488. 5 indexed citations
16.
Nelson, Sam, et al.. (2012). Twisted virtual biracks and their twisted virtual link invariants. Topology and its Applications. 160(2). 421–429.
17.
Nelson, Sam, et al.. (2008). On symplectic quandles. Osaka Journal of Mathematics. 45(4). 973–985. 11 indexed citations
18.
Nelson, Sam, et al.. (2007). Symbolic computation with finite biquandles. Journal of Symbolic Computation. 42(10). 992–1000. 9 indexed citations
19.
Nelson, Sam, et al.. (2007). QUANDLES AND LINKING NUMBER. Journal of Knot Theory and Its Ramifications. 16(10). 1283–1293. 1 indexed citations
20.
Nelson, Sam, et al.. (2006). Symbolic computation with finite quandles. Journal of Symbolic Computation. 41(7). 811–817. 8 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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