Peter Freyd

4.2k total citations · 1 hit paper
37 papers, 1.7k citations indexed

About

Peter Freyd is a scholar working on Mathematical Physics, Artificial Intelligence and Geometry and Topology. According to data from OpenAlex, Peter Freyd has authored 37 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Mathematical Physics, 10 papers in Artificial Intelligence and 9 papers in Geometry and Topology. Recurrent topics in Peter Freyd's work include Homotopy and Cohomology in Algebraic Topology (10 papers), Logic, programming, and type systems (8 papers) and Advanced Algebra and Logic (5 papers). Peter Freyd is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (10 papers), Logic, programming, and type systems (8 papers) and Advanced Algebra and Logic (5 papers). Peter Freyd collaborates with scholars based in United States, Canada and United Kingdom. Peter Freyd's co-authors include David N. Yetter, Adrian Ocneanu, Jim Hoste, W. B. R. Lickorish, Kenneth C. Millett, G. M. Kelly, Saunders MacLane, Andre Scedrov, Philip Scott and Alex Heller and has published in prestigious journals such as Proceedings of the National Academy of Sciences, American Mathematical Monthly and Advances in Mathematics.

In The Last Decade

Peter Freyd

35 papers receiving 1.4k 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.

A new polynomial invariant of knots and links

1985 625 citations Peter Freyd, David N. Yetter et al. Bulletin of the American Mathematical Society profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Peter Freyd United States	14	1.0k	848	483	440	341	37	1.7k
William C. Waterhouse United States	18	928 0.9×	617 0.7×	307 0.6×	236 0.5×	637 1.9×	146	1.5k
Andy R. Magid United States	13	653 0.6×	455 0.5×	324 0.7×	126 0.3×	443 1.3×	82	1.2k
Ralph H. Fox United States	15	1.2k 1.1×	725 0.9×	389 0.8×	126 0.3×	210 0.6×	35	1.6k
D. Solitar Canada	15	1.7k 1.7×	1.0k 1.2×	703 1.5×	166 0.4×	329 1.0×	35	2.4k
David N. Yetter United States	15	994 1.0×	737 0.9×	313 0.6×	172 0.4×	211 0.6×	38	1.4k
A. Karrass Canada	14	1.6k 1.5×	917 1.1×	637 1.3×	152 0.3×	298 0.9×	29	2.1k
Gareth A. Jones United Kingdom	21	733 0.7×	405 0.5×	250 0.5×	386 0.9×	164 0.5×	91	1.5k
Fred Richman United States	22	653 0.6×	390 0.5×	771 1.6×	338 0.8×	657 1.9×	120	1.7k
Benjamin Weiss Israel	25	912 0.9×	1.6k 1.9×	652 1.3×	142 0.3×	166 0.5×	76	2.0k
Dan Segal United Kingdom	22	910 0.9×	536 0.6×	296 0.6×	274 0.6×	384 1.1×	105	1.6k

Countries citing papers authored by Peter Freyd

Since Specialization

Citations

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

Fields of papers citing papers by Peter Freyd

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Freyd

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

Freyd, Peter. (2007). The Theory of Core Algebras: Its Completeness. Theory and applications of categories. 18. 303–320. 2 indexed citations

2.

Freyd, Peter. (2007). Core algebra revisited. Theoretical Computer Science. 375(1-3). 193–200. 3 indexed citations

3.

Freyd, Peter, et al.. (2003). A new framework for declarative programming. Theoretical Computer Science. 300(1-3). 91–160. 7 indexed citations

4.

Freyd, Peter, Jean-Yves Girard, Andre Scedrov, & Philip Scott. (2003). Semantic parametricity in polymorphic lambda calculus. 274–279. 3 indexed citations

5.

Freyd, Peter. (2002). Cartesian logic. Theoretical Computer Science. 278(1-2). 3–21. 2 indexed citations

6.

Freyd, Peter, et al.. (1999). Bireflectivity. Theoretical Computer Science. 228(1-2). 49–76. 7 indexed citations

7.

Freyd, Peter. (1993). Alex Heller. Journal of Pure and Applied Algebra. 89(1-2). 1–1.

8.

Freyd, Peter. (1993). Structural polymorphism. Theoretical Computer Science. 115(1). 107–129. 8 indexed citations

9.

Freyd, Peter & Alex Heller. (1993). Splitting homotopy idempotents II. Journal of Pure and Applied Algebra. 89(1-2). 93–106. 35 indexed citations

10.

Freyd, Peter & David N. Yetter. (1992). Coherence theorems via knot theory. Journal of Pure and Applied Algebra. 78(1). 49–76. 39 indexed citations

11.

Freyd, Peter, et al.. (1990). Functorial polymorphism. Theoretical Computer Science. 70(1). 35–64. 89 indexed citations

12.

Freyd, Peter & David N. Yetter. (1989). Braided compact closed categories with applications to low dimensional topology. Advances in Mathematics. 77(2). 156–182. 140 indexed citations

13.

Davies, R. E. & Peter Freyd. (1989). C167H336 is the smallest alkane with more realizable isomers than the observed universe has "particles". Journal of Chemical Education. 66(4). 278–278. 11 indexed citations

14.

Freyd, Peter & Andre Scedrov. (1987). Some Semantic Aspects of Polymorphic Lambda Calculus. 315–319. 7 indexed citations

15.

Freyd, Peter, Harvey M. Friedman, & Andre Scedrov. (1987). Lindenbaum algebras of intuitionistic theories and free categories. Annals of Pure and Applied Logic. 35. 167–172. 2 indexed citations

16.

Freyd, Peter. (1987). Choice and well-ordering. Annals of Pure and Applied Logic. 35. 149–166. 7 indexed citations

17.

Freyd, Peter, David N. Yetter, Jim Hoste, et al.. (1985). A new polynomial invariant of knots and links. Bulletin of the American Mathematical Society. 12(2). 239–246. 625 indexed citations breakdown →

18.

Freyd, Peter. (1973). Concreteness. Journal of Pure and Applied Algebra. 3(2). 171–191. 8 indexed citations

19.

Freyd, Peter & G. M. Kelly. (1972). Categories of continuous functors, I. Journal of Pure and Applied Algebra. 2(3). 169–191. 174 indexed citations

20.

Freyd, Peter. (1968). Redei’s finiteness theorem for commutative semigroups. Proceedings of the American Mathematical Society. 19(4). 1003–1003. 17 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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