Patrick Dehornoy

2.4k citations
79 papers · 1.2k · h-index 20

Impact in

Papers in

Patrick Dehornoy

73 papers receiving 1.0k citations

Peers

Patrick Dehornoy
Comparison fields: 5 of 42
  • Geometry and Topology 995
  • Discrete Mathematics and Combinatorics 270
  • Mathematical Physics 680
  • Algebra and Number Theory 150
  • Computational Theory and Mathematics 467
Replace Alexei Myasnikov with:
Alexei Myasnikov United States
Mark Sapir United States
Dugald Macpherson United Kingdom
A. Yu. Olshanskii Russia
Graham Ellis Ireland
Fred Galvin United States
Mohan S. Putcha United States
Daniel E. Cohen United Kingdom
Benjamin Steinberg Canada
James H. Schmerl United States
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Citations per field
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Citations per year

Countries citing papers authored by Patrick Dehornoy

Since Specialization
Citations

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

Fields of papers citing papers by Patrick Dehornoy

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 19 scholars most cited alongside Patrick Dehornoy, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Patrick Dehornoy Line = papers co-authored together Patrick Dehornoy links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 79 papers — load more, or switch the sort, to bring in the rest.

#Work
1 1999137
2 2002105
3 199493
4 200075
5 199758
6 201545
7 201537
8
Why are braids orderable
200235
9 199734
10 199433
11 200530
12 200329
13 198926
14 199524
15 199824
16 200524
17 200523
18 200322
19 200820
20
Opérateurs différentiels et courbes elliptiques
198119

About Patrick Dehornoy

Patrick Dehornoy is a scholar working on Geometry and Topology, Computational Theory and Mathematics, Mathematical Physics, Artificial Intelligence and Discrete Mathematics and Combinatorics, having authored 79 papers that have together received 1.2k indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (57 papers), semigroups and automata theory (32 papers), Homotopy and Cohomology in Algebraic Topology (30 papers), Algebraic structures and combinatorial models (17 papers), Advanced Algebra and Logic (10 papers), Algebraic Geometry and Number Theory (10 papers), Advanced Combinatorial Mathematics (8 papers) and Logic, programming, and type systems (7 papers). The work is most often cited by research in Geometry and Topology (995 citations), Discrete Mathematics and Combinatorics (270 citations), Mathematical Physics (680 citations), Algebra and Number Theory (150 citations) and Computational Theory and Mathematics (467 citations). Patrick Dehornoy has collaborated with scholars based in France, Canada and United Kingdom. Frequent co-authors include Luis Paris, Bert Wiest, Dale Rolfsen, Ivan Dynnikov, François Digne, Jean Michel, Yves Lafont, Eddy Godelle, Marc Girault and Hervé Sibert. Their work appears in journals such as Journal of Pure and Applied Algebra, Proceedings of the American Mathematical Society, Advances in Mathematics, Journal of Algebra and International Journal of Algebra and Computation.

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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