Stephen G. Simpson

4.2k total citations · 2 hit papers
65 papers, 1.9k citations indexed

About

Stephen G. Simpson is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Artificial Intelligence. According to data from OpenAlex, Stephen G. Simpson has authored 65 papers receiving a total of 1.9k indexed citations (citations by other indexed papers that have themselves been cited), including 56 papers in Computational Theory and Mathematics, 30 papers in Geometry and Topology and 13 papers in Artificial Intelligence. Recurrent topics in Stephen G. Simpson's work include Computability, Logic, AI Algorithms (48 papers), Advanced Topology and Set Theory (28 papers) and semigroups and automata theory (16 papers). Stephen G. Simpson is often cited by papers focused on Computability, Logic, AI Algorithms (48 papers), Advanced Topology and Set Theory (28 papers) and semigroups and automata theory (16 papers). Stephen G. Simpson collaborates with scholars based in United States, Japan and Italy. Stephen G. Simpson's co-authors include Harvey M. Friedman, Timothy J. Carlson, Gerald E. Sacks, Carl G. Jockusch, Kurt Schütte, Manuel Lerman, James H. Schmerl, Kazuyuki Tanaka, Cristóbal Rojas and Takeshi Yamazaki and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Stephen G. Simpson

62 papers receiving 1.7k 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.

Subsystems of Second Order Arithmetic

1999 521 citations Stephen G. Simpson profile →
Subsystems of Second Order Arithmetic

2009 265 citations Stephen G. Simpson profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Stephen G. Simpson United States	23	1.7k	766	615	391	177	65	1.9k
Donald A. Martin United States	18	955 0.6×	798 1.0×	293 0.5×	353 0.9×	55 0.3×	38	1.4k
Robert M Solovay United States	13	1.1k 0.7×	671 0.9×	616 1.0×	365 0.9×	31 0.2×	28	1.5k
J. B. Paris United Kingdom	19	744 0.4×	216 0.3×	911 1.5×	164 0.4×	81 0.5×	90	1.4k
Yiannis N. Moschovakis United States	18	747 0.4×	360 0.5×	439 0.7×	169 0.4×	33 0.2×	53	994
A. H. Lachlan Canada	25	1.2k 0.7×	818 1.1×	381 0.6×	217 0.6×	105 0.6×	75	1.6k
Gerald E. Sacks United States	18	1.1k 0.6×	551 0.7×	474 0.8×	173 0.4×	106 0.6×	47	1.3k
Ulrich Kohlenbach Germany	20	1.3k 0.8×	580 0.8×	542 0.9×	323 0.8×	62 0.4×	102	1.5k
G. Kreisel United States	21	840 0.5×	204 0.3×	685 1.1×	159 0.4×	24 0.1×	64	1.3k
John Myhill United States	16	849 0.5×	221 0.3×	536 0.9×	180 0.5×	48 0.3×	40	1.2k
Joel David Hamkins United States	17	727 0.4×	615 0.8×	184 0.3×	323 0.8×	10 0.1×	75	955

Countries citing papers authored by Stephen G. Simpson

Since Specialization

Citations

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

Fields of papers citing papers by Stephen G. Simpson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Stephen G. Simpson. 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 Stephen G. Simpson. The network helps show where Stephen G. Simpson may publish in the future.

Co-authorship network of co-authors of Stephen G. Simpson

This figure shows the co-authorship network connecting the top 25 collaborators of Stephen G. Simpson. A scholar is included among the top collaborators of Stephen G. Simpson 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 Stephen G. Simpson. Stephen G. Simpson 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

1.

Simpson, Stephen G. & Frank Stephan. (2015). Cone avoidance and randomness preservation. Annals of Pure and Applied Logic. 166(6). 713–728. 1 indexed citations

2.

Simpson, Stephen G., et al.. (2013). Propagation of partial randomness. Annals of Pure and Applied Logic. 165(2). 742–758. 6 indexed citations

3.

Simpson, Stephen G., et al.. (2012). Reverse mathematics and Peano categoricity. Annals of Pure and Applied Logic. 164(3). 284–293. 13 indexed citations

4.

Simpson, Stephen G., et al.. (2005). Reverse Mathematics and Π¹₂ Comprehension. Bulletin of Symbolic Logic. 11(4). 526–533. 12 indexed citations

5.

Simpson, Stephen G.. (2005). Mass Problems and Randomness. Bulletin of Symbolic Logic. 11(1). 1–27. 40 indexed citations

6.

Simpson, Stephen G., et al.. (2004). An incompleteness theorem for β_n-models. Journal of Symbolic Logic. 69(2). 612–616. 1 indexed citations

7.

Simpson, Stephen G., Kazuyuki Tanaka, & Takeshi Yamazaki. (2002). Some conservation results on weak König's lemma. Annals of Pure and Applied Logic. 118(1-2). 87–114. 8 indexed citations

8.

Friedman, Harvey M., et al.. (1993). Periodic points and subsystems of second-order arithmetic. Annals of Pure and Applied Logic. 62(1). 51–64. 5 indexed citations

9.

Simpson, Stephen G., et al.. (1989). Countable valued fields in weak subsystems of second-order arithmetic. Annals of Pure and Applied Logic. 41(1). 27–32. 2 indexed citations

10.

Simpson, Stephen G., et al.. (1986). Factorization of polynomials and Σ10 induction. Annals of Pure and Applied Logic. 31. 289–306. 32 indexed citations

11.

Simpson, Stephen G., et al.. (1986). Which set existence axioms are needed to prove the separable Hahn-Banach theorem?. Annals of Pure and Applied Logic. 31. 123–144. 39 indexed citations

12.

Prömel, Hans Jürgen, Stephen G. Simpson, & Bernd Voigt. (1986). A dual form of Erdös-Rado's canonization theorem. Journal of Combinatorial Theory Series A. 42(2). 159–178. 1 indexed citations

13.

Friedman, Harvey M., et al.. (1985). Addendum to “countable algebra and set existence axioms”. Annals of Pure and Applied Logic. 28(3). 319–320. 13 indexed citations

14.

Carlson, Timothy J. & Stephen G. Simpson. (1984). A dual form of Ramsey's Theorem. Advances in Mathematics. 53(3). 265–290. 64 indexed citations

15.

Maitra, A., et al.. (1984). On the Existence of Two Analytic Non-Borel Sets Which are not Isomorphic. 3 indexed citations

16.

Friedman, Harvey M., et al.. (1983). Countable algebra and set existence axioms11Research partially supported by NSF grants MCS-79-23743, MCS-78-02558, and MCS 8107867. Simpson's research was also supported by an Alfred P. Sloan Research Fellowship.. Annals of Pure and Applied Logic. 25(2). 141–181. 85 indexed citations

17.

Jockusch, Carl G. & Stephen G. Simpson. (1976). A degree-theoretic definition of the ramified analytical hierarchy. Annals of Mathematical Logic. 10(1). 1–32. 25 indexed citations

18.

Simpson, Stephen G.. (1975). Minimal covers and hyperdegrees. Transactions of the American Mathematical Society. 209(0). 45–64. 15 indexed citations

19.

Simpson, Stephen G.. (1974). Forcing and models of arithmetic. Proceedings of the American Mathematical Society. 43(1). 193–193. 8 indexed citations

20.

Sacks, Gerald E. & Stephen G. Simpson. (1972). The α-finite injury method. Annals of Mathematical Logic. 4(4). 343–367. 48 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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