A. R. D. Mathias

1.1k total citations
27 papers, 505 citations indexed

About

A. R. D. Mathias is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, A. R. D. Mathias has authored 27 papers receiving a total of 505 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Geometry and Topology, 14 papers in Computational Theory and Mathematics and 11 papers in Mathematical Physics. Recurrent topics in A. R. D. Mathias's work include Advanced Topology and Set Theory (18 papers), Computability, Logic, AI Algorithms (12 papers) and Mathematical and Theoretical Analysis (6 papers). A. R. D. Mathias is often cited by papers focused on Advanced Topology and Set Theory (18 papers), Computability, Logic, AI Algorithms (12 papers) and Mathematical and Theoretical Analysis (6 papers). A. R. D. Mathias collaborates with scholars based in Réunion, United States and Colombia. A. R. D. Mathias's co-authors include Hartley Rogers, Joan Bagaria, Karel Prikry, Robert L. Vaught, Petr Šimon, Winfried Just, A. J. Ostaszewski, Michel Talagrand and Carles Casacuberta and has published in prestigious journals such as Lecture notes in mathematics, Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences and Bulletin of the London Mathematical Society.

In The Last Decade

A. R. D. Mathias

27 papers receiving 446 citations

Peers

A. R. D. Mathias
J. K. Truss United Kingdom
Akihiro Kanamori United States
Bruno Poizat France
Robert L. Vaught United States
Harvey Friedman United States
C. Smoryński United States
S. Świerczkowski Poland
Fernando Q. Gouvêa United States
Theodore A. Slaman United States
Martin Raußen Denmark
J. K. Truss United Kingdom
A. R. D. Mathias
Citations per year, relative to A. R. D. Mathias A. R. D. Mathias (= 1×) peers J. K. Truss

Countries citing papers authored by A. R. D. Mathias

Since Specialization
Citations

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

Fields of papers citing papers by A. R. D. Mathias

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. R. D. Mathias. 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 A. R. D. Mathias. The network helps show where A. R. D. Mathias may publish in the future.

Co-authorship network of co-authors of A. R. D. Mathias

This figure shows the co-authorship network connecting the top 25 collaborators of A. R. D. Mathias. A scholar is included among the top collaborators of A. R. D. Mathias 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 A. R. D. Mathias. A. R. D. Mathias 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.
Mathias, A. R. D.. (2023). Weak set theories in foundational debates. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 381(2248). 20220009–20220009. 2 indexed citations
2.
Mathias, A. R. D., et al.. (2015). Rudimentary Recursion, Gentle Functions and Provident Sets. Notre Dame Journal of Formal Logic. 56(1). 5 indexed citations
3.
Mathias, A. R. D.. (2015). Provident sets and rudimentary set forcing. Fundamenta Mathematicae. 230(2). 99–148. 11 indexed citations
4.
Mathias, A. R. D.. (2010). Unordered pairs in the set theory of Bourbaki 1949. Archiv der Mathematik. 94(1). 1–10. 5 indexed citations
5.
Bagaria, Joan, Carles Casacuberta, & A. R. D. Mathias. (2009). Epireflections and supercompact cardinals. Journal of Pure and Applied Algebra. 213(7). 1208–1215. 1 indexed citations
6.
Mathias, A. R. D.. (2005). Analytic sets under attack. Mathematical Proceedings of the Cambridge Philosophical Society. 138(3). 465–485. 2 indexed citations
7.
Mathias, A. R. D.. (2004). A SCENARIO FOR TRANSFERRING HIGH SCORES. Czech digital mathematics library. 45(2). 67–73. 1 indexed citations
8.
Mathias, A. R. D.. (2001). The strength of Mac Lane set theory. Annals of Pure and Applied Logic. 110(1-3). 107–234. 26 indexed citations
9.
Mathias, A. R. D.. (2001). Delays, Recurrence and Ordinals. Proceedings of the London Mathematical Society. 82(2). 257–298. 4 indexed citations
10.
Mathias, A. R. D.. (2001). Slim models of Zermelo set theory. Journal of Symbolic Logic. 66(2). 487–496. 16 indexed citations
11.
Bagaria, Joan, et al.. (2000). Set Theory: Techniques and Applications. Studia Logica. 66(3). 22 indexed citations
12.
Mathias, A. R. D.. (1992). The ignorance of bourbaki. The Mathematical Intelligencer. 14(3). 4–13. 19 indexed citations
13.
Mathias, A. R. D.. (1991). NON-WELL-FOUNDED SETS (CSLI Lecture Notes 14). Bulletin of the London Mathematical Society. 23(2). 197–199. 42 indexed citations
14.
Just, Winfried, A. R. D. Mathias, Karel Prikry, & Petr Šimon. (1990). On the existence of large p-ideals. Journal of Symbolic Logic. 55(2). 457–465. 11 indexed citations
15.
Mathias, A. R. D.. (1984). Unsound ordinals. Mathematical Proceedings of the Cambridge Philosophical Society. 96(3). 391–411. 1 indexed citations
16.
Mathias, A. R. D.. (1983). Surveys in Set Theory. Cambridge University Press eBooks. 33 indexed citations
17.
Vaught, Robert L., A. R. D. Mathias, & Hartley Rogers. (1982). Descriptive Set Theory in L ω 1 ω. 9 indexed citations
18.
Mathias, A. R. D., A. J. Ostaszewski, & Michel Talagrand. (1978). On the existence of an analytic set meeting each compact set in a Borel set. Mathematical Proceedings of the Cambridge Philosophical Society. 84(1). 5–10. 4 indexed citations
19.
Mathias, A. R. D.. (1977). Happy families. Annals of Mathematical Logic. 12(1). 59–111. 150 indexed citations
20.
Mathias, A. R. D. & Hartley Rogers. (1973). Cambridge Summer School in Mathematical Logic. Lecture notes in mathematics. 67 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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