James McCool

561 total citations
30 papers, 334 citations indexed

About

James McCool is a scholar working on Geometry and Topology, Discrete Mathematics and Combinatorics and Mathematical Physics. According to data from OpenAlex, James McCool has authored 30 papers receiving a total of 334 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Geometry and Topology, 20 papers in Discrete Mathematics and Combinatorics and 9 papers in Mathematical Physics. Recurrent topics in James McCool's work include Finite Group Theory Research (20 papers), Geometric and Algebraic Topology (15 papers) and semigroups and automata theory (7 papers). James McCool is often cited by papers focused on Finite Group Theory Research (20 papers), Geometric and Algebraic Topology (15 papers) and semigroups and automata theory (7 papers). James McCool collaborates with scholars based in Canada, United States and Serbia. James McCool's co-authors include Sava Krstić, Paul E. Schupp and Andrew M. Brunner and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Bulletin of the London Mathematical Society.

In The Last Decade

James McCool

27 papers receiving 266 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
James McCool Canada	10	277	190	113	95	23	30	334
Joan L. Dyer United States	10	281 1.0×	183 1.0×	160 1.4×	94 1.0×	42 1.8×	19	339
David Joyce United States	4	409 1.5×	264 1.4×	154 1.4×	131 1.4×	65 2.8×	6	443
Andrew M. Brunner United States	11	170 0.6×	99 0.5×	83 0.7×	98 1.0×	32 1.4×	27	244
Jon McCammond United States	10	207 0.7×	132 0.7×	113 1.0×	65 0.7×	36 1.6×	28	252
Daan Krammer United Kingdom	6	234 0.8×	170 0.9×	106 0.9×	57 0.6×	19 0.8×	10	260
Martin Edjvet United Kingdom	10	182 0.7×	119 0.6×	111 1.0×	58 0.6×	16 0.7×	42	216
Miklós Abért Hungary	8	172 0.6×	148 0.8×	87 0.8×	53 0.6×	18 0.8×	28	247
Ralph Strebel Germany	12	485 1.8×	377 2.0×	198 1.8×	97 1.0×	100 4.3×	29	559
Eriko Hironaka United States	8	177 0.6×	134 0.7×	80 0.7×	53 0.6×	15 0.7×	20	200
N. S. Romanovskiĭ Russia	12	249 0.9×	175 0.9×	195 1.7×	81 0.9×	96 4.2×	49	358

Countries citing papers authored by James McCool

Since Specialization

Citations

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

Fields of papers citing papers by James McCool

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of James McCool

This figure shows the co-authorship network connecting the top 25 collaborators of James McCool. A scholar is included among the top collaborators of James McCool 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 James McCool. James McCool 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

McCool, James. (2001). On a question of Remeslennikov. Glasgow Mathematical Journal. 43(1). 123–124. 3 indexed citations

Krstić, Sava & James McCool. (1999). Presenting GLn(k〈T〉). Journal of Pure and Applied Algebra. 141(2). 175–183. 7 indexed citations

Krstić, Sava & James McCool. (1997). The non-finite presentability of IA ( F 3 ) and GL 2 (Z[ t, t −1 ]). Inventiones mathematicae. 129(3). 595–606. 30 indexed citations

Krstić, Sava & James McCool. (1997). Free quotients of 𝑆𝐿₂(𝑅[𝑥]). Proceedings of the American Mathematical Society. 125(6). 1585–1588. 6 indexed citations

McCool, James. (1996). Generating the mapping class group (An algebraic approach). Publicacions Matemàtiques. 40(2). 457–468. 3 indexed citations

McCool, James. (1990). Virtually-residually-p automorphism groups of group rings. Journal of Algebra. 130(1). 106–112. 1 indexed citations

McCool, James. (1990). The Coherence Number of 2-Groups. Canadian Mathematical Bulletin. 33(4). 503–508.

McCool, James. (1988). Some Remarks on IA Automorphisms of Free Groups. Canadian Journal of Mathematics. 40(5). 1144–1155. 4 indexed citations

McCool, James. (1986). On Basis-Conjugating Automorphisms of Free Groups. Canadian Journal of Mathematics. 38(6). 1525–1529. 55 indexed citations

10.

McCool, James. (1981). A counterexample to conjectures of Papakyriakopoulos and Swarup. Proceedings of the American Mathematical Society. 81(2). 193–194. 1 indexed citations

11.

McCool, James. (1980). A characterization of periodic automorphisms of a free group. Transactions of the American Mathematical Society. 260(1). 309–318. 9 indexed citations

12.

Brunner, Andrew M., et al.. (1977). Groups which are an infinite cyclic extension of a unique base group. Journal of the Australian Mathematical Society. 23(4). 499–503. 3 indexed citations

13.

McCool, James. (1975). Some finitely presented subgroups of the automorphism group of a free group. Journal of Algebra. 35(1-3). 205–213. 65 indexed citations

14.

McCool, James. (1975). On Nielsen's Presentation of the Automorphism Group of a Free Group. Journal of the London Mathematical Society. s2-10(3). 265–270. 4 indexed citations

15.

McCool, James. (1974). A Presentation for the Automorphism Group of a Free Group of Finite Rank. Journal of the London Mathematical Society. s2-8(2). 259–266. 29 indexed citations

16.

McCool, James, et al.. (1972). On recognising certain one relation presentations. Proceedings of the American Mathematical Society. 36(1). 31–31. 5 indexed citations

17.

McCool, James. (1971). The Power Problem for Groups with One Defining Relator. Proceedings of the American Mathematical Society. 28(2). 427–427. 3 indexed citations

18.

McCool, James. (1971). The power problem for groups with one defining relator. Proceedings of the American Mathematical Society. 28(2). 427–430. 4 indexed citations

19.

McCool, James, et al.. (1971). On free products with amalgamation of two infinite cyclic groups. Journal of Algebra. 18(3). 377–383. 24 indexed citations

20.

McCool, James. (1970). Embedding Theorems for Countable Groups. Canadian Journal of Mathematics. 22(4). 827–835. 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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