Michael Rathjen

1.7k total citations
67 papers, 539 citations indexed

About

Michael Rathjen is a scholar working on Computational Theory and Mathematics, Artificial Intelligence and Geometry and Topology. According to data from OpenAlex, Michael Rathjen has authored 67 papers receiving a total of 539 indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Computational Theory and Mathematics, 36 papers in Artificial Intelligence and 21 papers in Geometry and Topology. Recurrent topics in Michael Rathjen's work include Computability, Logic, AI Algorithms (39 papers), Logic, Reasoning, and Knowledge (33 papers) and Advanced Topology and Set Theory (20 papers). Michael Rathjen is often cited by papers focused on Computability, Logic, AI Algorithms (39 papers), Logic, Reasoning, and Knowledge (33 papers) and Advanced Topology and Set Theory (20 papers). Michael Rathjen collaborates with scholars based in United Kingdom, United States and Germany. Michael Rathjen's co-authors include Andreas Weiermann, Edward Griffor, Erik Palmgren, Sy‐David Friedman, Andreas Schlüter, Maria Emilia Maietti, Peter Schuster, Olaf Beyersdorff, Richard Matthews and Petr Hájek and has published in prestigious journals such as Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, Advances in Mathematics and Proceedings of the American Mathematical Society.

In The Last Decade

Michael Rathjen

63 papers receiving 488 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Michael Rathjen United Kingdom	13	432	308	170	100	59	67	539
Harvey Friedman United States	13	450 1.0×	269 0.9×	248 1.5×	90 0.9×	117 2.0×	43	625
C. Smoryński United States	11	276 0.6×	251 0.8×	105 0.6×	33 0.3×	60 1.0×	39	476
Wilfried Buchholz Germany	11	338 0.8×	278 0.9×	85 0.5×	36 0.4×	38 0.6×	25	423
Kosta Došen Serbia	16	475 1.1×	549 1.8×	93 0.5×	61 0.6×	91 1.5×	66	698
Philip Welch United Kingdom	14	357 0.8×	156 0.5×	244 1.4×	129 1.3×	99 1.7×	65	515
Joel David Hamkins United States	17	727 1.7×	184 0.6×	615 3.6×	154 1.5×	323 5.5×	75	955
A. R. D. Mathias Réunion	12	281 0.7×	115 0.4×	321 1.9×	29 0.3×	180 3.1×	27	505
Albert Visser Netherlands	18	556 1.3×	652 2.1×	83 0.5×	101 1.0×	47 0.8×	93	788
Henryk Kotlarski Poland	11	195 0.5×	85 0.3×	169 1.0×	48 0.5×	96 1.6×	35	311
W. W. Tait United States	11	355 0.8×	381 1.2×	30 0.2×	161 1.6×	55 0.9×	30	620

Countries citing papers authored by Michael Rathjen

Since Specialization

Citations

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

Fields of papers citing papers by Michael Rathjen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michael Rathjen

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

All Works

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20 of 20 papers shown

Rathjen, Michael, et al.. (2025). FEFERMAN’S COMPLETENESS THEOREM. Bulletin of Symbolic Logic. 31(3). 462–487. 1 indexed citations

Jäger, Gerhard & Michael Rathjen. (2024). Admissible extensions of subtheories of second order arithmetic. Annals of Pure and Applied Logic. 175(7). 103425–103425.

Rathjen, Michael, et al.. (2023). Well ordering principles for iterated $$\Pi ^1_1$$-comprehension. Selecta Mathematica. 29(5). 1 indexed citations

Matthews, Richard & Michael Rathjen. (2023). Constructing the constructible universe constructively. Annals of Pure and Applied Logic. 175(3). 103392–103392. 1 indexed citations

Maietti, Maria Emilia, et al.. (2021). A realizability semantics for inductive formal topologies, Church's Thesis and Axiom of Choice. Logical Methods in Computer Science. Volume 17, Issue 2. 1 indexed citations

Maietti, Maria Emilia, et al.. (2019). A realizability semantics for inductive formal topologies, Church's Thesis and Axiom of Choice. Logical Methods in Computer Science. 17. 2 indexed citations

Rathjen, Michael. (2017). Long Sequences of Descending Theories and other Miscellanea on Slow Consistency.. 4. 2 indexed citations

Buss, Samuel R., Ulrich Kohlenbach, & Michael Rathjen. (2015). Mathematical Logic: Proof Theory, Constructive Mathematics. Oberwolfach Reports. 11(4). 2933–2986. 1 indexed citations

Rathjen, Michael. (2013). Relativized ordinal analysis: The case of Power Kripke–Platek set theory. Annals of Pure and Applied Logic. 165(1). 316–339. 6 indexed citations

10.

Rathjen, Michael. (2013). Constructive Zermelo–Fraenkel set theory and the limited principle of omniscience. Annals of Pure and Applied Logic. 165(2). 563–572. 4 indexed citations

11.

Rathjen, Michael. (2012). From the weak to the strong existence property. Annals of Pure and Applied Logic. 163(10). 1400–1418. 6 indexed citations

12.

Friedman, Sy‐David, Michael Rathjen, & Andreas Weiermann. (2012). Slow consistency. Annals of Pure and Applied Logic. 164(3). 382–393. 8 indexed citations

13.

Rathjen, Michael, et al.. (2009). Reverse mathematics and well-ordering principles: A pilot study. Annals of Pure and Applied Logic. 160(3). 231–237. 10 indexed citations

14.

Rathjen, Michael, et al.. (2006). Characterizing the interpretation of set theory in Martin-Löf type theory. Annals of Pure and Applied Logic. 141(3). 442–471. 7 indexed citations

15.

Rathjen, Michael. (2006). A note on Bar Induction in Constructive Set Theory. Mathematical logic quarterly. 52(3). 253–258. 7 indexed citations

16.

Rathjen, Michael, et al.. (2002). Inaccessible set axioms may have little consistency strength. Annals of Pure and Applied Logic. 115(1-3). 33–70. 12 indexed citations

17.

Rathjen, Michael, Edward Griffor, & Erik Palmgren. (1998). Inaccessibility in constructive set theory and type theory. Annals of Pure and Applied Logic. 94(1-3). 181–200. 17 indexed citations

18.

Rathjen, Michael, et al.. (1997). On the proof-theoretic strength of monotone induction in explicit mathematics. Annals of Pure and Applied Logic. 85(1). 1–46. 5 indexed citations

19.

Rathjen, Michael. (1994). Proof theory of reflection. Annals of Pure and Applied Logic. 68(2). 181–224. 25 indexed citations

20.

Rathjen, Michael & Andreas Weiermann. (1993). Proof-theoretic investigations on Kruskal's theorem. Annals of Pure and Applied Logic. 60(1). 49–88. 53 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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