Philip Welch

1.1k total citations
65 papers, 515 citations indexed

About

Philip Welch is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Artificial Intelligence. According to data from OpenAlex, Philip Welch has authored 65 papers receiving a total of 515 indexed citations (citations by other indexed papers that have themselves been cited), including 48 papers in Computational Theory and Mathematics, 30 papers in Geometry and Topology and 14 papers in Artificial Intelligence. Recurrent topics in Philip Welch's work include Computability, Logic, AI Algorithms (46 papers), Advanced Topology and Set Theory (29 papers) and Logic, Reasoning, and Knowledge (11 papers). Philip Welch is often cited by papers focused on Computability, Logic, AI Algorithms (46 papers), Advanced Topology and Set Theory (29 papers) and Logic, Reasoning, and Knowledge (11 papers). Philip Welch collaborates with scholars based in United Kingdom, Germany and Japan. Philip Welch's co-authors include Ronald H. Jensen, Volker Halbach, Hannes Leitgeb, Leon Horsten, Benedikt Löwe, John R. Steel, John Vickers, Sy‐David Friedman, W. Hugh Woodin and Joel David Hamkins and has published in prestigious journals such as The Journal of Philosophy, Theoretical Computer Science and Bulletin of the London Mathematical Society.

In The Last Decade

Philip Welch

53 papers receiving 464 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Philip Welch United Kingdom 14 357 244 156 129 99 65 515
Harvey Friedman United States 13 450 1.3× 248 1.0× 269 1.7× 90 0.7× 117 1.2× 43 625
Joel David Hamkins United States 17 727 2.0× 615 2.5× 184 1.2× 154 1.2× 323 3.3× 75 955
Sy‐David Friedman Austria 12 320 0.9× 328 1.3× 54 0.3× 50 0.4× 194 2.0× 86 425
W. Hugh Woodin United States 16 483 1.4× 561 2.3× 68 0.4× 80 0.6× 329 3.3× 47 747
Peter Aczel United Kingdom 9 322 0.9× 93 0.4× 410 2.6× 49 0.4× 133 1.3× 26 599
Akihiro Kanamori United States 10 417 1.2× 492 2.0× 55 0.4× 78 0.6× 269 2.7× 27 647
Michael Rathjen United Kingdom 13 432 1.2× 170 0.7× 308 2.0× 100 0.8× 59 0.6× 67 539
Vladimir Kanovei Russia 13 302 0.8× 371 1.5× 43 0.3× 30 0.2× 329 3.3× 105 576
C. Smoryński United States 11 276 0.8× 105 0.4× 251 1.6× 33 0.3× 60 0.6× 39 476
Wilfried Sieg United States 13 306 0.9× 60 0.2× 302 1.9× 96 0.7× 55 0.6× 41 546

Countries citing papers authored by Philip Welch

Since Specialization
Citations

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

Fields of papers citing papers by Philip Welch

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Philip Welch

This figure shows the co-authorship network connecting the top 25 collaborators of Philip Welch. A scholar is included among the top collaborators of Philip Welch 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 Philip Welch. Philip Welch 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.
Welch, Philip, et al.. (2023). ASYMMETRIC CUT AND CHOOSE GAMES. Bulletin of Symbolic Logic. 29(4). 588–625. 1 indexed citations
2.
Väänánen, Jouko & Philip Welch. (2023). When cardinals determine the power set: inner models and Härtig quantifier logic. Mathematical logic quarterly. 69(4). 460–471.
3.
Welch, Philip, et al.. (2022). Decision Times of Infinite Computations. Notre Dame Journal of Formal Logic. 63(2).
4.
Welch, Philip, et al.. (2021). GAMES AND INDUCTION ON REALS. Journal of Symbolic Logic. 86(4). 1676–1690.
5.
Welch, Philip. (2020). STABLY MEASURABLE CARDINALS. Journal of Symbolic Logic. 86(2). 448–470. 1 indexed citations
6.
7.
Welch, Philip, et al.. (2017). Recognizable sets and Woodin cardinals: computation beyond the constructible universe. Annals of Pure and Applied Logic. 169(4). 312–332. 1 indexed citations
8.
Welch, Philip & Leon Horsten. (2016). Reflecting on Absolute Infinity. The Journal of Philosophy. 113(2). 89–111. 7 indexed citations
9.
Welch, Philip. (2012). Some Reflections on Alan Turing's Centenary.
10.
Friedman, Sy‐David & Philip Welch. (2011). Hypermachines. Journal of Symbolic Logic. 76(2). 620–636. 2 indexed citations
11.
Welch, Philip, et al.. (2011). Greatly Erdős cardinals with some generalizations to the Chang and Ramsey properties. Annals of Pure and Applied Logic. 162(11). 863–902. 9 indexed citations
12.
Welch, Philip. (2011). Weak systems of determinacy and arithmetical quasi-inductive definitions. Journal of Symbolic Logic. 76(2). 418–436. 13 indexed citations
13.
Welch, Philip. (2008). Characteristics of discrete transfinite time Turing machine models: Halting times, stabilization times, and Normal Form theorems. Theoretical Computer Science. 410(4-5). 426–442. 11 indexed citations
14.
Welch, Philip. (2003). On revision operators. Journal of Symbolic Logic. 68(2). 689–711. 9 indexed citations
15.
Hamkins, Joel David & Philip Welch. (2003). Pf ≠ NPf for almost all f. Mathematical logic quarterly. 49(5). 536–540. 2 indexed citations
16.
Welch, Philip. (2002). On possible non-homeomorphic substructures of the real line. Proceedings of the American Mathematical Society. 130(9). 2771–2775.
17.
Löwe, Benedikt & Philip Welch. (2001). Set-Theoretic Absoluteness and the Revision Theory of Truth. Studia Logica. 68(1). 21–41. 10 indexed citations
18.
Welch, Philip. (1999). Friedman's Trick: Minimality Arguments in the Infinite Time Turing Degrees. Bristol Research (University of Bristol). 1 indexed citations
19.
Pegden, C. Dennis, et al.. (1989). How Technology Limits Simulation Methodology. 686–691. 1 indexed citations
20.
Welch, Philip. (1988). Coding that preserves Ramseyness. Fundamenta Mathematicae. 129(1). 1–7. 1 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 Harvey Friedman Breakdown of academic impact, for papers by Joel David Hamkins Breakdown of academic impact, for papers by Sy‐David Friedman Breakdown of academic impact, for papers by W. Hugh Woodin Breakdown of academic impact, for papers by Peter Aczel Breakdown of academic impact, for papers by Akihiro Kanamori Breakdown of academic impact, for papers by Michael Rathjen Breakdown of academic impact, for papers by Vladimir Kanovei Breakdown of academic impact, for papers by C. Smoryński Breakdown of academic impact, for papers by Wilfried Sieg
Rankless by CCL
2026