J. Scott Carter

1.5k total citations
26 papers, 596 citations indexed

About

J. Scott Carter is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, J. Scott Carter has authored 26 papers receiving a total of 596 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Geometry and Topology, 17 papers in Mathematical Physics and 7 papers in Discrete Mathematics and Combinatorics. Recurrent topics in J. Scott Carter's work include Geometric and Algebraic Topology (21 papers), Homotopy and Cohomology in Algebraic Topology (15 papers) and Advanced Combinatorial Mathematics (7 papers). J. Scott Carter is often cited by papers focused on Geometric and Algebraic Topology (21 papers), Homotopy and Cohomology in Algebraic Topology (15 papers) and Advanced Combinatorial Mathematics (7 papers). J. Scott Carter collaborates with scholars based in United States, Japan and South Korea. J. Scott Carter's co-authors include Masahico Saito, Seiichi Kamada, Daniel Jelsovsky, Laurel Langford, Mohamed Elhamdadi, Louis H. Kauffman, Daniel S. Silver, Shin Satoh, Susan Williams and Alissa S. Crans and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Advances in Mathematics.

In The Last Decade

J. Scott Carter

26 papers receiving 544 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
J. Scott Carter United States 10 568 404 230 123 51 26 596
Peter Teichner United States 14 604 1.1× 559 1.4× 131 0.6× 109 0.9× 26 0.5× 48 648
Ki Hyoung Ko South Korea 13 419 0.7× 307 0.8× 139 0.6× 133 1.1× 23 0.5× 25 481
Alexander Mednykh Russia 12 400 0.7× 202 0.5× 212 0.9× 93 0.8× 23 0.5× 91 492
Dan Margalit United States 12 779 1.4× 626 1.5× 177 0.8× 149 1.2× 28 0.5× 36 851
Daniel S. Silver United States 12 414 0.7× 299 0.7× 202 0.9× 155 1.3× 14 0.3× 61 497
Allan L. Edmonds United States 18 601 1.1× 417 1.0× 153 0.7× 90 0.7× 39 0.8× 51 707
Alan W. Reid United States 18 1.1k 1.9× 859 2.1× 308 1.3× 148 1.2× 54 1.1× 89 1.1k
Lee Mosher United States 16 566 1.0× 475 1.2× 113 0.5× 106 0.9× 27 0.5× 33 609
Patrick M. Gilmer United States 13 365 0.6× 301 0.7× 60 0.3× 86 0.7× 25 0.5× 34 413
Darryl McCullough United States 13 496 0.9× 404 1.0× 123 0.5× 71 0.6× 20 0.4× 59 548

Countries citing papers authored by J. Scott Carter

Since Specialization
Citations

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

Fields of papers citing papers by J. Scott Carter

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by J. Scott Carter. 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 J. Scott Carter. The network helps show where J. Scott Carter may publish in the future.

Co-authorship network of co-authors of J. Scott Carter

This figure shows the co-authorship network connecting the top 25 collaborators of J. Scott Carter. A scholar is included among the top collaborators of J. Scott Carter 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 J. Scott Carter. J. Scott Carter 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.
Carter, J. Scott, et al.. (2021). Relations between quandle extensions and group extensions. Journal of Algebra. 573. 410–435. 1 indexed citations
2.
Carter, J. Scott & Seiichi Kamada. (2015). Three-dimensional braids and their descriptions. Topology and its Applications. 196. 510–521. 1 indexed citations
3.
Carter, J. Scott, et al.. (2014). Non-orientable surfaces in 4-dimensional space. Journal of Knot Theory and Its Ramifications. 23(11). 1430002–1430002. 1 indexed citations
4.
Carter, J. Scott, et al.. (2009). Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces. Topology and its Applications. 157(5). 857–869. 6 indexed citations
5.
Carter, J. Scott, Daniel S. Silver, Susan Williams, Mohamed Elhamdadi, & Masahico Saito. (2009). VIRTUAL KNOT INVARIANTS FROM GROUP BIQUANDLES AND THEIR COCYCLES. Journal of Knot Theory and Its Ramifications. 18(7). 957–972. 9 indexed citations
6.
Carter, J. Scott, Alissa S. Crans, Mohamed Elhamdadi, & Masahico Saito. (2008). Cohomology of the adjoint of Hopf algebras. 2(1). 19–34. 6 indexed citations
7.
Carter, J. Scott, et al.. (2008). COHOMOLOGY OF FROBENIUS ALGEBRAS AND THE YANG-BAXTER EQUATION. Communications in Contemporary Mathematics. 10(supp01). 791–814. 2 indexed citations
8.
Carter, J. Scott, Masahico Saito, & Shin Satoh. (2006). Ribbon concordance of surface-knots via quandle cocycle invariants. Journal of the Australian Mathematical Society. 80(1). 131–147. 6 indexed citations
9.
Carter, J. Scott & Masahico Saito. (2006). SET-THEORETIC YANG–BAXTER SOLUTIONS VIA FOX CALCULUS. Journal of Knot Theory and Its Ramifications. 15(8). 949–956. 5 indexed citations
10.
Carter, J. Scott, Mohamed Elhamdadi, & Masahico Saito. (2004). Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles. Fundamenta Mathematicae. 184. 31–54. 59 indexed citations
11.
Carter, J. Scott, Daniel Jelsovsky, Seiichi Kamada, Laurel Langford, & Masahico Saito. (2003). Quandle cohomology and state-sum invariants of knotted curves and surfaces. Transactions of the American Mathematical Society. 355(10). 3947–3989. 174 indexed citations
12.
Carter, J. Scott, et al.. (2003). Extensions of Quandles and Cocycle Knot Invariants. Journal of Knot Theory and Its Ramifications. 12(6). 725–738. 26 indexed citations
13.
Carter, J. Scott, Seiichi Kamada, & Masahico Saito. (2002). STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS. Journal of Knot Theory and Its Ramifications. 11(3). 311–322. 101 indexed citations
14.
Carter, J. Scott, Daniel Jelsovsky, Seiichi Kamada, & Masahico Saito. (2001). Quandle homology groups, their Betti numbers, and virtual knots. Journal of Pure and Applied Algebra. 157(2-3). 135–155. 38 indexed citations
15.
Carter, J. Scott, Daniel Jelsovsky, Seiichi Kamada, & Masahico Saito. (2001). SHIFTING HOMOMORPHISMS IN QUANDLE COHOMOLOGY AND SKEINS OF COCYCLE KNOT INVARIANTS. Journal of Knot Theory and Its Ramifications. 10(4). 579–596. 6 indexed citations
16.
Carter, J. Scott, Seiichi Kamada, & Masahico Saito. (2001). GEOMETRIC INTERPRETATIONS OF QUANDLE HOMOLOGY. Journal of Knot Theory and Its Ramifications. 10(3). 345–386. 58 indexed citations
17.
Carter, J. Scott, Louis H. Kauffman, & Masahico Saito. (1999). Structures and Diagrammatics of Four Dimensional Topological Lattice Field Theories. Advances in Mathematics. 146(1). 39–100. 14 indexed citations
18.
Carter, J. Scott & Masahico Saito. (1996). ON FORMULATIONS AND SOLUTIONS OF SIMPLEX EQUATIONS. International Journal of Modern Physics A. 11(24). 4453–4463. 11 indexed citations
19.
Carter, J. Scott. (1992). Extending immersed circles in the sphere to immersed disks in the ball. Commentarii Mathematici Helvetici. 67(1). 337–348. 4 indexed citations
20.
Carter, J. Scott & Masahico Saito. (1991). Syzygies among elementary string interactions in 2+1 dimensions. Letters in Mathematical Physics. 23(4). 287–300. 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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