Richard G. Swan

5.2k total citations
72 papers, 2.9k citations indexed

About

Richard G. Swan is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Richard G. Swan has authored 72 papers receiving a total of 2.9k indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Geometry and Topology, 34 papers in Algebra and Number Theory and 26 papers in Mathematical Physics. Recurrent topics in Richard G. Swan's work include Advanced Topics in Algebra (18 papers), Rings, Modules, and Algebras (18 papers) and Homotopy and Cohomology in Algebraic Topology (18 papers). Richard G. Swan is often cited by papers focused on Advanced Topics in Algebra (18 papers), Rings, Modules, and Algebras (18 papers) and Homotopy and Cohomology in Algebraic Topology (18 papers). Richard G. Swan collaborates with scholars based in United States, India and Germany. Richard G. Swan's co-authors include E. Graham Evans, M. Pavaman Murthy, W. H. Cockcroft, Jacob Towber, Stephen McAdam, Jean Fasel, Ravi A. Rao, Shlomo Sternberg and Alejandro Ádem and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Richard G. Swan

69 papers receiving 2.2k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Richard G. Swan United States	28	2.0k	1.4k	1.4k	482	481	72	2.9k
Jean Pierre Serre France	11	1.2k 0.6×	714 0.5×	949 0.7×	340 0.7×	260 0.5×	25	1.8k
Irving Kaplansky United States	27	1.7k 0.9×	2.5k 1.8×	1.4k 1.0×	336 0.7×	1.0k 2.2×	80	4.0k
Samuel Eilenberg United States	26	1.8k 0.9×	1.5k 1.1×	1.7k 1.2×	199 0.4×	893 1.9×	43	3.2k
Irving Reiner United States	21	1.8k 0.9×	1.4k 1.0×	1.3k 0.9×	1.3k 2.7×	351 0.7×	94	3.2k
Michel Kervaire Switzerland	21	1.2k 0.6×	462 0.3×	844 0.6×	248 0.5×	415 0.9×	48	1.8k
Robert Steinberg United States	25	1.8k 0.9×	822 0.6×	1.9k 1.4×	1.5k 3.1×	174 0.4×	36	2.9k
T. Y. Lam United States	29	3.0k 1.5×	3.0k 2.2×	1.2k 0.9×	645 1.3×	878 1.8×	97	4.7k
Charles W. Curtis United States	16	1.6k 0.8×	1.1k 0.8×	1.2k 0.9×	1.3k 2.6×	305 0.6×	50	2.8k
George M. Bergman United States	21	1.7k 0.9×	1.5k 1.1×	762 0.6×	240 0.5×	737 1.5×	94	2.4k
Joseph Rotman United States	14	926 0.5×	751 0.5×	457 0.3×	334 0.7×	453 0.9×	39	1.8k

Countries citing papers authored by Richard G. Swan

Since Specialization

Citations

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

Fields of papers citing papers by Richard G. Swan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Richard G. Swan. 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 Richard G. Swan. The network helps show where Richard G. Swan may publish in the future.

Co-authorship network of co-authors of Richard G. Swan

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Swan, Richard G.. (2018). K-theory of coherent rings. Journal of Algebra and Its Applications. 18(9). 1950161–1950161. 5 indexed citations

Swan, Richard G.. (1993). Failure of cancellation for direct sums of line bundles. Transactions of the American Mathematical Society. 336(2). 581–605. 4 indexed citations

Swan, Richard G.. (1990). Another Proof of the Quadratic Reciprocity Theorem?. American Mathematical Monthly. 97(2). 138–138. 2 indexed citations

Swan, Richard G.. (1984). n-generator ideals in Prüfer domains. Pacific Journal of Mathematics. 111(2). 433–446. 25 indexed citations

Swan, Richard G., et al.. (1983). Individual Signal Path Calibration for Maximum Timing Accuracy in a High Pincount VLSI Test System.. International Test Conference. 188–192. 3 indexed citations

Swan, Richard G.. (1978). Projective Modules over Laurent Polynomial Rings. Transactions of the American Mathematical Society. 237. 111–111. 21 indexed citations

Swan, Richard G. & Jacob Towber. (1975). A class of projective modules which are nearly free. Journal of Algebra. 36(3). 427–434. 27 indexed citations

Swan, Richard G.. (1975). Thom's theory of differential forms on simplical sets. Topology. 14(3). 271–273. 14 indexed citations

Swan, Richard G.. (1972). Some relations between higher K-functors. Journal of Algebra. 21(1). 113–136. 23 indexed citations

10.

Swan, Richard G.. (1971). Generators and relations for certain special linear groups. Advances in Mathematics. 6(1). 1–77. 132 indexed citations

11.

Swan, Richard G.. (1969). Correction to “An application of graph theory to algebra”. Proceedings of the American Mathematical Society. 21(2). 379–380. 5 indexed citations

12.

Swan, Richard G.. (1968). Generators and relations for certain special linear groups. Bulletin of the American Mathematical Society. 74(3). 576–581. 25 indexed citations

13.

Swan, Richard G.. (1963). An application of graph theory to algebra. Proceedings of the American Mathematical Society. 14(3). 367–373. 21 indexed citations

14.

Swan, Richard G.. (1962). Vector bundles and projective modules. Transactions of the American Mathematical Society. 105(2). 264–277. 250 indexed citations

15.

Swan, Richard G.. (1962). Vector Bundles and Projective Modules. Transactions of the American Mathematical Society. 105(2). 264–264. 84 indexed citations

16.

Swan, Richard G.. (1960). The Homology of Cyclic Products. Transactions of the American Mathematical Society. 95(1). 27–27. 1 indexed citations

17.

Swan, Richard G.. (1960). Periodic Resolutions for Finite Groups. Annals of Mathematics. 72(2). 267–267. 156 indexed citations

18.

Swan, Richard G.. (1960). The homology of cyclic products. Transactions of the American Mathematical Society. 95(1). 27–68. 5 indexed citations

19.

Swan, Richard G.. (1960). A SIMPLE PROOF OF THE CUP PRODUCT REDUCTION THEOREM. Proceedings of the National Academy of Sciences. 46(1). 114–117. 4 indexed citations

20.

Swan, Richard G.. (1959). The homology of cyclic products. Bulletin of the American Mathematical Society. 65(3). 125–127.

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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