Charles Steinhorn

1.5k total citations
34 papers, 850 citations indexed

About

Charles Steinhorn is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Charles Steinhorn has authored 34 papers receiving a total of 850 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Geometry and Topology, 22 papers in Computational Theory and Mathematics and 7 papers in Mathematical Physics. Recurrent topics in Charles Steinhorn's work include Advanced Topology and Set Theory (27 papers), Computability, Logic, AI Algorithms (15 papers) and Advanced Algebra and Logic (8 papers). Charles Steinhorn is often cited by papers focused on Advanced Topology and Set Theory (27 papers), Computability, Logic, AI Algorithms (15 papers) and Advanced Algebra and Logic (8 papers). Charles Steinhorn collaborates with scholars based in United States, United Kingdom and Canada. Charles Steinhorn's co-authors include Anand Pillay, Dugald Macpherson, David Marker, Julia F. Knight, Ya’acov Peterzil, Chris Miller, M. Laskowski, Wilfrid Hodges, Martin Hyland and Anthony L. Pillay and has published in prestigious journals such as Transactions of the American Mathematical Society, Bulletin of the American Mathematical Society and Proceedings of the American Mathematical Society.

In The Last Decade

Charles Steinhorn

33 papers receiving 736 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Charles Steinhorn United States	14	705	481	325	267	142	34	850
L. P. D. van den Dries United States	4	470 0.7×	249 0.5×	338 1.0×	159 0.6×	58 0.4×	5	635
Boban Veličković France	15	375 0.5×	338 0.7×	238 0.7×	104 0.4×	119 0.8×	34	542
James H. Schmerl United States	14	417 0.6×	487 1.0×	183 0.6×	131 0.5×	94 0.7×	108	733
Fred Galvin United States	14	492 0.7×	487 1.0×	241 0.7×	152 0.6×	46 0.3×	56	806
A. Carboni Italy	18	598 0.8×	466 1.0×	739 2.3×	417 1.6×	469 3.3×	35	1.2k
Teodor C. Przymusiński United States	21	249 0.4×	519 1.1×	180 0.6×	119 0.4×	1.2k 8.3×	73	1.5k
Wojciech Banaszczyk Poland	12	270 0.4×	212 0.4×	243 0.7×	137 0.5×	159 1.1×	35	648
C. Ward Henson United States	17	451 0.6×	403 0.8×	473 1.5×	98 0.4×	92 0.6×	54	776
Yu. L. Ershov Russia	13	258 0.4×	507 1.1×	130 0.4×	99 0.4×	221 1.6×	113	736
Marion Scheepers United States	17	1.1k 1.5×	470 1.0×	585 1.8×	406 1.5×	25 0.2×	76	1.1k

Countries citing papers authored by Charles Steinhorn

Since Specialization

Citations

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

Fields of papers citing papers by Charles Steinhorn

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Charles Steinhorn

This figure shows the co-authorship network connecting the top 25 collaborators of Charles Steinhorn. A scholar is included among the top collaborators of Charles Steinhorn 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 Charles Steinhorn. Charles Steinhorn 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

Steinhorn, Charles, André Nies, Zoé Chatzidakis, et al.. (2017). Notices. Bulletin of Symbolic Logic. 23(1). 138–143. 1 indexed citations

Miller, Chris, et al.. (2016). Expansions of o-minimal structures by dense independent sets. Annals of Pure and Applied Logic. 167(8). 684–706. 3 indexed citations

Miller, Chris, et al.. (2009). Structures having o-minimal open core. Transactions of the American Mathematical Society. 362(3). 1371–1411. 30 indexed citations

Onshuus, Alf & Charles Steinhorn. (2009). ON LINEARLY ORDERED STRUCTURES OF FINITE RANK. Journal of Mathematical Logic. 9(2). 201–239. 5 indexed citations

Macpherson, Dugald & Charles Steinhorn. (2007). One-dimensional asymptotic classes of finite structures. Transactions of the American Mathematical Society. 360(1). 411–448. 18 indexed citations

Macpherson, Dugald & Charles Steinhorn. (1996). On variants of o-minimality. Annals of Pure and Applied Logic. 79(2). 165–209. 44 indexed citations

Laskowski, M. & Charles Steinhorn. (1995). On o-minimal expansions of Archimedean ordered groups. Journal of Symbolic Logic. 60(3). 817–831. 13 indexed citations

Marker, David & Charles Steinhorn. (1994). Definable types in -minimal theories. Journal of Symbolic Logic. 59(1). 185–198. 33 indexed citations

Mekler, Alan H., Matatyahu Rubin, & Charles Steinhorn. (1992). Dedekind Completeness and the Algebraic Complexity of o-Minimal Structures. Canadian Journal of Mathematics. 44(4). 843–855. 6 indexed citations

10.

Shelah, Saharon & Charles Steinhorn. (1989). The nonaxiomatizability of $L(Q^2_{\aleph_1})$ by finitely many schemata.. Notre Dame Journal of Formal Logic. 31(1). 1 indexed citations

11.

Pillay, Anand & Charles Steinhorn. (1988). Definable sets in ordered structures. III. Transactions of the American Mathematical Society. 309(2). 469–476. 28 indexed citations

12.

Pillay, Anand & Charles Steinhorn. (1988). Definable Sets in Ordered Structures. III. Transactions of the American Mathematical Society. 309(2). 469–469. 3 indexed citations

13.

Pillay, Anand & Charles Steinhorn. (1987). Discrete o-minimal structures. Annals of Pure and Applied Logic. 34(3). 275–289. 13 indexed citations

14.

Knight, Julia F., Anand Pillay, & Charles Steinhorn. (1986). Definable sets in ordered structures. II. Transactions of the American Mathematical Society. 295(2). 593–605. 90 indexed citations

15.

Pillay, Anand & Charles Steinhorn. (1986). Definable Sets in Ordered Structures. I. Transactions of the American Mathematical Society. 295(2). 565–565. 31 indexed citations

16.

Knight, Julia F., Anand Pillay, & Charles Steinhorn. (1986). Definable Sets in Ordered Structures. II. Transactions of the American Mathematical Society. 295(2). 593–593. 13 indexed citations

17.

Pillay, Anand & Charles Steinhorn. (1986). Definable sets in ordered structures. I. Transactions of the American Mathematical Society. 295(2). 565–592. 207 indexed citations

18.

Pillay, Anand & Charles Steinhorn. (1984). Definable sets in ordered structures. Bulletin of the American Mathematical Society. 11(1). 159–162. 78 indexed citations

19.

Steinhorn, Charles. (1983). A new omitting types theorem. Proceedings of the American Mathematical Society. 89(3). 480–486. 5 indexed citations

20.

Steinhorn, Charles, et al.. (1980). The uniformization property for ℵ2. Israel Journal of Mathematics. 36(3-4). 248–256. 15 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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