Paul Howard

595 total citations
46 papers, 385 citations indexed

About

Paul Howard is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Paul Howard has authored 46 papers receiving a total of 385 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Geometry and Topology, 28 papers in Computational Theory and Mathematics and 11 papers in Mathematical Physics. Recurrent topics in Paul Howard's work include Advanced Topology and Set Theory (28 papers), Advanced Algebra and Logic (14 papers) and Computability, Logic, AI Algorithms (12 papers). Paul Howard is often cited by papers focused on Advanced Topology and Set Theory (28 papers), Advanced Algebra and Logic (14 papers) and Computability, Logic, AI Algorithms (12 papers). Paul Howard collaborates with scholars based in United States, Greece and Germany. Paul Howard's co-authors include Eleftherios Tachtsis, Kyriakos Keremedis, Horst Herrlich, Herman Rubin, Alfred Tarski, Omar De la Cruz, J. W. Addison, Norbert Brunner, Leon Henkin and David Blair and has published in prestigious journals such as Transactions of the American Mathematical Society, Proceedings of the American Mathematical Society and Journal of Symbolic Logic.

In The Last Decade

Paul Howard

40 papers receiving 338 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Paul Howard United States	8	285	237	127	61	56	46	385
Kyriakos Keremedis Greece	10	337 1.2×	200 0.8×	170 1.3×	86 1.4×	23 0.4×	81	371
Akihiro Kanamori United States	10	492 1.7×	417 1.8×	269 2.1×	104 1.7×	55 1.0×	27	647
Eleftherios Tachtsis Greece	9	249 0.9×	177 0.7×	111 0.9×	42 0.7×	16 0.3×	71	282
Tapani Hyttinen Finland	11	299 1.0×	236 1.0×	156 1.2×	77 1.3×	70 1.3×	63	378
Daniel Lascar France	13	455 1.6×	227 1.0×	250 2.0×	87 1.4×	52 0.9×	27	553
Jussi Ketonen United States	9	177 0.6×	192 0.8×	97 0.8×	62 1.0×	72 1.3×	16	290
Jindřich Zapletal United States	10	267 0.9×	160 0.7×	140 1.1×	86 1.4×	15 0.3×	55	280
Sy D. Friedman United States	8	241 0.8×	213 0.9×	127 1.0×	32 0.5×	32 0.6×	55	265
William N. Reinhardt United States	6	189 0.7×	186 0.8×	114 0.9×	57 0.9×	57 1.0×	8	307
Moti Gitik Israel	14	607 2.1×	453 1.9×	373 2.9×	181 3.0×	35 0.6×	73	647

Countries citing papers authored by Paul Howard

Since Specialization

Citations

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

Fields of papers citing papers by Paul Howard

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Paul Howard

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

Howard, Paul & Eleftherios Tachtsis. (2023). Models of $${{\textsf{ZFA}}}$$ in which every linearly ordered set can be well ordered. Archive for Mathematical Logic. 62(7-8). 1131–1157. 1 indexed citations

Howard, Paul & Eleftherios Tachtsis. (2021). On metrizability and compactness of certain products without the Axiom of Choice. Topology and its Applications. 290. 107591–107591. 8 indexed citations

Herrlich, Horst, Paul Howard, & Kyriakos Keremedis. (2017). On extensions of countable filterbases to ultrafilters and ultrafilter compactness. Quaestiones Mathematicae. 41(2). 213–225.

Herrlich, Horst, Paul Howard, & Eleftherios Tachtsis. (2015). On a Certain Notion of Finite and a Finiteness Class in Set Theory without Choice. Bulletin of the Polish Academy of Sciences Mathematics. 63(2). 89–112. 5 indexed citations

Howard, Paul & Eleftherios Tachtsis. (2014). On the minimal cover property in. Topology and its Applications. 173. 94–106. 4 indexed citations

Howard, Paul & Eleftherios Tachtsis. (2014). On a variant of Rado’s selection lemma and its equivalence with the Boolean prime ideal theorem. Archive for Mathematical Logic. 53(7-8). 825–833. 1 indexed citations

Herrlich, Horst, Paul Howard, & Eleftherios Tachtsis. (2012). On special partitions of Dedekind- and Russell-sets. Commentationes Mathematicae Universitatis Carolinae. 53(1). 105–122. 2 indexed citations

Howard, Paul & Eleftherios Tachtsis. (2012). On a topological choice principle by Murray Bell. Topology and its Applications. 160(2). 309–327.

Howard, Paul. (2005). Do We Still Need Books? A Selected Annotated Bibliography. Law library journal. 97(2). 257–283. 3 indexed citations

10.

Cruz, Omar De la, et al.. (2002). Products of Compact Spaces and the Axiom of Choice. Mathematical logic quarterly. 48(4). 508–516. 7 indexed citations

11.

Howard, Paul, et al.. (1998). Consequences of the Axiom of Choice. Mathematical surveys and monographs. 200 indexed citations

12.

Howard, Paul, et al.. (1997). Kinna-Wagner selection principles, axioms of choice and multiple choice. Monatshefte für Mathematik. 123(4). 309–319. 3 indexed citations

13.

Howard, Paul, et al.. (1996). The Boolean Prime Ideal Theorem Plus Countable Choice Do Not Imply Dependent Choice. Mathematical logic quarterly. 42(1). 410–420. 7 indexed citations

14.

Howard, Paul, et al.. (1989). Definitions of finite. Fundamenta Mathematicae. 133(3). 169–177. 11 indexed citations

15.

Howard, Paul. (1987). The Existence of Level Sets in a Free Group Implies the Axiom of Choice. Mathematical logic quarterly. 33(4). 315–316. 1 indexed citations

16.

Howard, Paul. (1985). Subgroups of a free group and the axiom of choice. Journal of Symbolic Logic. 50(2). 458–467. 3 indexed citations

17.

Howard, Paul, et al.. (1976). The law of infinite cardinal addition is weaker than the axiom of choice. Transactions of the American Mathematical Society. 220. 195–195. 5 indexed citations

18.

Howard, Paul. (1975). Łoś’ theorem and the Boolean prime ideal theorem imply the axiom of choice. Proceedings of the American Mathematical Society. 49(2). 426–428. 3 indexed citations

19.

Addison, J. W., Leon Henkin, Alfred Tarski, & Paul Howard. (1975). The Fraenkel-Mostowski Method for Independence Proofs in Set Theory. 5 indexed citations

20.

Howard, Paul, et al.. (1974). Cardinal addition and the axiom of choice. Bulletin of the American Mathematical Society. 80(3). 584–587. 6 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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