Charles Livingston

1.8k total citations
75 papers, 764 citations indexed

About

Charles Livingston is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Charles Livingston has authored 75 papers receiving a total of 764 indexed citations (citations by other indexed papers that have themselves been cited), including 66 papers in Geometry and Topology, 38 papers in Mathematical Physics and 24 papers in Computational Theory and Mathematics. Recurrent topics in Charles Livingston's work include Geometric and Algebraic Topology (62 papers), Homotopy and Cohomology in Algebraic Topology (32 papers) and semigroups and automata theory (17 papers). Charles Livingston is often cited by papers focused on Geometric and Algebraic Topology (62 papers), Homotopy and Cohomology in Algebraic Topology (32 papers) and semigroups and automata theory (17 papers). Charles Livingston collaborates with scholars based in United States, South Korea and Poland. Charles Livingston's co-authors include Paul Kirk, Patrick M. Gilmer, Allan L. Edmonds, Zhenghan Wang, Paul Melvin, James F. Davis, Jae Choon, Dennis L. Johnson, Daniel Ruberman and Stefan Friedl and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Pacific Journal of Mathematics.

In The Last Decade

Charles Livingston

67 papers receiving 632 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Charles Livingston United States	17	696	540	193	177	63	75	764
Tim D. Cochran United States	17	890 1.3×	791 1.5×	204 1.1×	171 1.0×	55 0.9×	52	912
Peter Teichner United States	14	604 0.9×	559 1.0×	131 0.7×	109 0.6×	35 0.6×	48	648
Xiao-Song Lin United States	12	668 1.0×	506 0.9×	290 1.5×	125 0.7×	35 0.6×	38	719
Akio Kawauchi Japan	13	752 1.1×	480 0.9×	270 1.4×	217 1.2×	60 1.0×	83	827
Martin Scharlemann United States	18	947 1.4×	642 1.2×	300 1.6×	246 1.4×	133 2.1×	69	1.0k
William W. Menasco United States	16	748 1.1×	521 1.0×	294 1.5×	193 1.1×	88 1.4×	35	810
D. D. Long United States	18	952 1.4×	737 1.4×	318 1.6×	146 0.8×	44 0.7×	79	1.1k
Józef H. Przytycki United States	18	823 1.2×	612 1.1×	327 1.7×	167 0.9×	54 0.9×	92	912
R. A. Litherland United States	13	469 0.7×	306 0.6×	147 0.8×	118 0.7×	70 1.1×	16	517
Steven A. Bleiler United States	11	481 0.7×	391 0.7×	115 0.6×	108 0.6×	50 0.8×	22	535

Countries citing papers authored by Charles Livingston

Since Specialization

Citations

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

Fields of papers citing papers by Charles Livingston

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Charles Livingston

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

All Works

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20 of 20 papers shown

Livingston, Charles. (2023). Critical point counts in knot cobordisms: abelian and metacyclic invariants. 10(6). 171–200.

Livingston, Charles. (2023). Connected sums of codimension two locally flat submanifolds. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 154(6). 1937–1944. 1 indexed citations

Friedl, Stefan, et al.. (2018). Knot concordance and alternating knots. IUScholarWorks Open (Indiana University). 4 indexed citations

Livingston, Charles, et al.. (2017). Secondary Upsilon invariants of knots. The Quarterly Journal of Mathematics. 69(3). 799–813. 3 indexed citations

Livingston, Charles, et al.. (2016). Semigroups,d-invariants and deformations of cuspidal singular points of plane curves. Journal of the London Mathematical Society. 93(2). 439–463. 10 indexed citations

Livingston, Charles, et al.. (2014). HEEGAARD FLOER HOMOLOGY AND RATIONAL CUSPIDAL CURVES. Forum of Mathematics Sigma. 2. 17 indexed citations

Kirk, Paul, et al.. (2009). Metabelian representations, twisted Alexander polynomials, knot slicing, and mutation. Mathematische Zeitschrift. 265(4). 925–949. 21 indexed citations

Livingston, Charles. (2003). Enhanced Linking Numbers. American Mathematical Monthly. 110(5). 361–385. 10 indexed citations

Livingston, Charles. (2003). Observations on Lickorish knotting of contractible 4-manifolds. Pacific Journal of Mathematics. 209(2). 319–323. 2 indexed citations

10.

Livingston, Charles. (2001). Infinite order amphicheiral knots. Algebraic & Geometric Topology. 1(1). 231–241. 6 indexed citations

11.

Kirk, Paul & Charles Livingston. (1999). TWISTED KNOT POLYNOMIALS: INVERSION, MUTATION AND CONCORDANCE. Topology. 38(3). 663–671. 25 indexed citations

12.

Kirk, Paul & Charles Livingston. (1997). Vassiliev invariants of two component links and the Casson-Walker invariant. Topology. 36(6). 1333–1353. 21 indexed citations

13.

Edmonds, Allan L. & Charles Livingston. (1996). Embedding punctured lens spaces in four-manifolds. Commentarii Mathematici Helvetici. 71(1). 169–191. 1 indexed citations

14.

Livingston, Charles. (1995). Knotentheorie für Einsteiger. 1 indexed citations

15.

Davis, James F. & Charles Livingston. (1991). Alexander polynomials of periodic knots. Topology. 30(4). 551–564. 14 indexed citations

16.

Livingston, Charles. (1990). Links not concordant to boundary links. Proceedings of the American Mathematical Society. 110(4). 1129–1131. 6 indexed citations

17.

Johnson, Dennis L. & Charles Livingston. (1989). Peripherally specified homomorphs of knot groups. Transactions of the American Mathematical Society. 311(1). 135–146. 9 indexed citations

18.

Johnson, Dennis A. & Charles Livingston. (1989). Peripherally Specified Homomorphs of Knot Groups. Transactions of the American Mathematical Society. 311(1). 135–135. 1 indexed citations

19.

Edmonds, Allan L. & Charles Livingston. (1984). Symmetric representations of knot groups. Topology and its Applications. 18(2-3). 281–312. 6 indexed citations

20.

Livingston, Charles. (1982). Surfaces bounding the unlink.. The Michigan Mathematical Journal. 29(3). 6 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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