P. M. Cohn

9.1k total citations · 3 hit papers
134 papers, 5.9k citations indexed

About

P. M. Cohn is a scholar working on Algebra and Number Theory, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, P. M. Cohn has authored 134 papers receiving a total of 5.9k indexed citations (citations by other indexed papers that have themselves been cited), including 69 papers in Algebra and Number Theory, 45 papers in Geometry and Topology and 37 papers in Computational Theory and Mathematics. Recurrent topics in P. M. Cohn's work include Rings, Modules, and Algebras (50 papers), Advanced Topics in Algebra (49 papers) and Algebraic structures and combinatorial models (15 papers). P. M. Cohn is often cited by papers focused on Rings, Modules, and Algebras (50 papers), Advanced Topics in Algebra (49 papers) and Algebraic structures and combinatorial models (15 papers). P. M. Cohn collaborates with scholars based in United Kingdom, United States and Australia. P. M. Cohn's co-authors include David J. Fieldhouse, A. Karrass, D. Solitar, Wilhelm Magnus, Eugene A. Klotz, Igor R. Shafarevich, Christophe Reutenauer, George M. Bergman, Warren Dicks and Aidan Schofield and has published in prestigious journals such as Annals of Mathematics, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

P. M. Cohn

127 papers receiving 4.8k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Combinatorial Group Theory.

1967 948 citations P. M. Cohn et al. profile →
Free Rings and Their Relations.

1973 763 citations P. M. Cohn et al. profile →
NONCOMMUTATIVE NOETHERIAN RINGS

1988 651 citations P. M. Cohn Bulletin of the London Mathematical Society profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
P. M. Cohn United Kingdom	32	3.4k	3.4k	1.5k	1.5k	944	134	5.9k
Nicolás Bourbaki United Kingdom	24	3.2k 0.9×	1.6k 0.5×	732 0.5×	2.9k 1.9×	1.3k 1.3×	37	5.4k
T. Y. Lam United States	29	3.0k 0.9×	3.0k 0.9×	878 0.6×	1.2k 0.8×	645 0.7×	97	4.7k
J. W. S. Cassels United Kingdom	25	2.0k 0.6×	1.0k 0.3×	976 0.6×	1.4k 0.9×	335 0.4×	96	3.8k
Irving Kaplansky United States	27	1.7k 0.5×	2.5k 0.8×	1.0k 0.7×	1.4k 0.9×	336 0.4×	80	4.0k
David Eisenbud United States	43	5.0k 1.5×	4.0k 1.2×	2.4k 1.6×	1.6k 1.1×	739 0.8×	140	6.3k
Robin Hartshorne United States	29	6.6k 2.0×	2.8k 0.8×	1.6k 1.0×	3.5k 2.3×	554 0.6×	75	7.5k
Jean-Pierre Serre France	45	8.6k 2.6×	3.8k 1.1×	1.8k 1.2×	6.6k 4.5×	2.1k 2.2×	121	11.1k
Jacques Tits France	33	3.7k 1.1×	1.3k 0.4×	699 0.5×	3.2k 2.1×	2.5k 2.7×	136	5.7k
Saunders Mac Lane United States	17	2.9k 0.9×	2.1k 0.6×	2.4k 1.6×	3.2k 2.2×	196 0.2×	65	6.8k
Joe Harris United States	32	3.2k 1.0×	991 0.3×	1.0k 0.7×	1.6k 1.1×	435 0.5×	72	3.8k

Countries citing papers authored by P. M. Cohn

Since Specialization

Citations

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

Fields of papers citing papers by P. M. Cohn

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P. M. Cohn. 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 P. M. Cohn. The network helps show where P. M. Cohn may publish in the future.

Co-authorship network of co-authors of P. M. Cohn

This figure shows the co-authorship network connecting the top 25 collaborators of P. M. Cohn. A scholar is included among the top collaborators of P. M. Cohn 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 P. M. Cohn. P. M. Cohn 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

1.

Cohn, P. M.. (2003). Some remarks on projective-free rings. Algebra Universalis. 49(2). 159–164. 9 indexed citations

2.

Cohn, P. M.. (2002). THE AUTOMORPHISM GROUP OF THE FREE ALGEBRA OF RANK TWO. Bulgarian Digital Mathematics Library (BulDML) at IMI-BAS (Institute of Mathematics and Informatics). 28(3). 255–266. 4 indexed citations

3.

Cohn, P. M.. (1998). Correction to "The universal skew field of fractions of a tensor product of free rings" (Colloq. Math. 72 (1997), 1-8). Colloquium Mathematicum. 76(2). 1 indexed citations

4.

Cohn, P. M.. (1989). The Construction of Valuations on Skew Fields. Journal of the Indian Mathematical Society. 54. 1–45. 1 indexed citations

5.

Cohn, P. M.. (1988). Correction to “Puiseux's theorem revisited”. Journal of Pure and Applied Algebra. 52(1-2). 197–198. 2 indexed citations

6.

Cohn, P. M.. (1984). Puiseux's theorem revisited. Journal of Pure and Applied Algebra. 31(1-3). 1–4. 8 indexed citations

7.

Cohn, P. M.. (1980). The Normal Basis Theorem for Skew Field Extensions. Bulletin of the London Mathematical Society. 12(1). 1–3. 2 indexed citations

8.

Cohn, P. M.. (1977). A construction of simple principal right ideal domains. Proceedings of the American Mathematical Society. 66(2). 217–222. 1 indexed citations

9.

Cohn, P. M.. (1977). Skew field constructions. Cambridge University Press eBooks. 135 indexed citations

10.

Cohn, P. M.. (1975). The word problem for free fields: a correction and an addendum. Journal of Symbolic Logic. 40(1). 69–74. 10 indexed citations

11.

Shafarevich, Igor R. & P. M. Cohn. (1974). Algebra, volume 1. 31 indexed citations

12.

Cohn, P. M.. (1974). SYMMETRIC BILINEAR FORMS. Bulletin of the London Mathematical Society. 6(1). 118–119. 166 indexed citations

13.

Cohn, P. M.. (1973). MATHEMATICAL MODELS IN LINGUISTICS. Bulletin of the London Mathematical Society. 5(3). 363–364. 22 indexed citations

14.

Cohn, P. M.. (1973). INTRODUCTION TO MATHEMATICAL LINGUISTICS. Bulletin of the London Mathematical Society. 5(3). 378–378. 1 indexed citations

15.

Bergman, George M. & P. M. Cohn. (1971). The Centres of 2-Firs and Hereditary Rings. Proceedings of the London Mathematical Society. s3-23(1). 83–98. 14 indexed citations

16.

Cohn, P. M.. (1971). LINEAR ALGEBRA AND GEOMETRY-A SECOND COURSE. Bulletin of the London Mathematical Society. 3(1). 97–98. 29 indexed citations

17.

Bergman, George M. & P. M. Cohn. (1969). Symmetric Elements in Free Powers of Rings. Journal of the London Mathematical Society. s2-1(1). 525–534. 12 indexed citations

18.

Cohn, P. M.. (1963). Noncommutative unique factorization domains. Transactions of the American Mathematical Society. 109(2). 313–331. 51 indexed citations

19.

Cohn, P. M.. (1961). Quadratic Extensions of Skew Fields. Proceedings of the London Mathematical Society. s3-11(1). 531–556. 67 indexed citations

20.

Cohn, P. M.. (1958). Rings of zero-divisors. Proceedings of the American Mathematical Society. 9(6). 909–914. 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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