Leonard Gillman

6.5k total citations · 2 hit papers
53 papers, 4.6k citations indexed

About

Leonard Gillman is a scholar working on Algebra and Number Theory, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Leonard Gillman has authored 53 papers receiving a total of 4.6k indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Algebra and Number Theory, 21 papers in Geometry and Topology and 12 papers in Mathematical Physics. Recurrent topics in Leonard Gillman's work include Rings, Modules, and Algebras (23 papers), Advanced Topics in Algebra (13 papers) and Advanced Topology and Set Theory (11 papers). Leonard Gillman is often cited by papers focused on Rings, Modules, and Algebras (23 papers), Advanced Topics in Algebra (13 papers) and Advanced Topology and Set Theory (11 papers). Leonard Gillman collaborates with scholars based in United States, United Kingdom and Canada. Leonard Gillman's co-authors include Meyer Jerison, E. R. Lorch, Melvin Henriksen, N. J. Fine, Morris Kline, Paul Erdős, Peter D. Lax, John M. Danskin, Howard Levi and F. Bagemihl and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Leonard Gillman

42 papers receiving 3.0k citations

Hit Papers

Rings of Continuous Functions. 1960 2026 1982 2004 1961 1960 500 1000 1.5k
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.

  1. Rings of Continuous Functions.
    1961 1.7k citations Leonard Gillman, Meyer Jerison et al. American Mathematical Monthly profile →
  2. Rings of Continuous Functions
    1960 1.7k citations Leonard Gillman, Meyer Jerison CERN Document Server (European Organization for Nuclear Research) profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Leonard Gillman United States 17 3.5k 3.1k 1.8k 1.0k 467 53 4.6k
Meyer Jerison United States 9 2.8k 0.8× 2.6k 0.8× 1.6k 0.9× 767 0.8× 364 0.8× 18 3.6k
H. Jerome Keisler United States 25 392 0.1× 1.3k 0.4× 1.0k 0.6× 1.8k 1.8× 267 0.6× 108 3.4k
Paulo Ribenboim Canada 27 1.2k 0.3× 1.0k 0.3× 440 0.2× 454 0.5× 54 0.1× 122 2.1k
Mary Ellen Rudin United States 18 422 0.1× 989 0.3× 697 0.4× 429 0.4× 198 0.4× 69 1.4k
Haskell P. Rosenthal United States 28 541 0.2× 773 0.3× 2.3k 1.2× 400 0.4× 127 0.3× 67 3.0k
Horst Herrlich Germany 22 988 0.3× 1.2k 0.4× 1.2k 0.6× 1.4k 1.4× 864 1.9× 125 3.0k
A. Seidenberg United States 19 501 0.1× 844 0.3× 278 0.2× 690 0.7× 72 0.2× 53 1.9k
Fred Richman United States 22 657 0.2× 653 0.2× 390 0.2× 771 0.8× 71 0.2× 120 1.7k
Bernhard Banaschewski Canada 25 1.3k 0.4× 1.1k 0.3× 756 0.4× 730 0.7× 276 0.6× 169 2.1k
Errett Bishop United States 21 329 0.1× 775 0.3× 893 0.5× 926 0.9× 51 0.1× 39 2.4k

Countries citing papers authored by Leonard Gillman

Since Specialization
Citations

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

Fields of papers citing papers by Leonard Gillman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Leonard Gillman

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

All Works

20 of 20 papers shown
1.
Gillman, Leonard. (1998). What Is Mathematics? By Richard Courant and Herbert Robbins, revised by Ian Stewart. American Mathematical Monthly. 105(5). 485–488. 1 indexed citations
2.
Gillman, Leonard. (1997). Order Relations and a Proof of l'Hôpital's Rule. College Mathematics Journal. 28(4). 288–292.
3.
Gillman, Leonard. (1991). More on Tabular Integration by Parts. College Mathematics Journal. 22(5). 407–407.
4.
Lax, Peter D. & Leonard Gillman. (1989). Writing Mathematics Well.. American Mathematical Monthly. 96(4). 380–380. 15 indexed citations
5.
Gillman, Leonard. (1987). Writing mathematics well : a manual for authors. 10 indexed citations
6.
Gillman, Leonard. (1985). Missing More Serves May Win More Points. Mathematics Magazine. 58(4). 222–222. 1 indexed citations
7.
Gillman, Leonard, et al.. (1975). Four Panel Talks on Publishing. American Mathematical Monthly. 82(1). 13–13. 1 indexed citations
8.
Gillman, Leonard. (1964). Mathematics. (Book Reviews: Foundations of General Topology). 144(3623). 1210–1211. 1 indexed citations
9.
Fine, N. J. & Leonard Gillman. (1962). Remote points in $\beta R$. Proceedings of the American Mathematical Society. 13(1). 29–29. 14 indexed citations
10.
Gillman, Leonard. (1961). A Note onF-Spaces. Archiv der Mathematik. 12(1). 67–68. 9 indexed citations
11.
Gillman, Leonard. (1960). Countably Generated Ideals in Rings of Continuous Functions. Proceedings of the American Mathematical Society. 11(4). 660–660. 8 indexed citations
12.
Gillman, Leonard & Meyer Jerison. (1960). Rings of Continuous Functions. CERN Document Server (European Organization for Nuclear Research). 1688 indexed citations breakdown →
13.
Gillman, Leonard. (1958). A Continuous Exact Set. Proceedings of the American Mathematical Society. 9(3). 412–412. 1 indexed citations
14.
Gillman, Leonard. (1958). A continuous exact set. Proceedings of the American Mathematical Society. 9(3). 412–418. 1 indexed citations
15.
Gillman, Leonard & Melvin Henriksen. (1956). Some remarks about elementary divisor rings. Transactions of the American Mathematical Society. 82(2). 362–365. 49 indexed citations
16.
Gillman, Leonard & Melvin Henriksen. (1956). Rings of continuous functions in which every finitely generated ideal is principal. Transactions of the American Mathematical Society. 82(2). 366–391. 116 indexed citations
17.
Gillman, Leonard & Melvin Henriksen. (1956). Some Remarks About Elementary Divisor Rings. Transactions of the American Mathematical Society. 82(2). 362–362. 15 indexed citations
18.
Gillman, Leonard, et al.. (1954). On a Theorem of Gelfand and Kolmogoroff Concerning Maximal Ideals in Rings of Continuous Functions. Proceedings of the American Mathematical Society. 5(3). 447–447. 16 indexed citations
19.
Gillman, Leonard, Melvin Henriksen, & Meyer Jerison. (1954). On a theorem of Gelfand and Kolmogoroff concerning maximal ideals in rings of continuous functions. Proceedings of the American Mathematical Society. 5(3). 447–455. 30 indexed citations
20.
Gillman, Leonard & Melvin Henriksen. (1954). Concerning Rings of Continuous Functions. Transactions of the American Mathematical Society. 77(2). 340–340. 42 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Meyer Jerison Breakdown of academic impact, for papers by H. Jerome Keisler Breakdown of academic impact, for papers by Paulo Ribenboim Breakdown of academic impact, for papers by Mary Ellen Rudin Breakdown of academic impact, for papers by Haskell P. Rosenthal Breakdown of academic impact, for papers by Horst Herrlich Breakdown of academic impact, for papers by A. Seidenberg Breakdown of academic impact, for papers by Fred Richman Breakdown of academic impact, for papers by Bernhard Banaschewski Breakdown of academic impact, for papers by Errett Bishop
Rankless by CCL
2026