David Gabai

3.8k citations
46 papers · 1.9k · 1 hit paper · h-index 20

Impact in

Papers in

    • Geometric and Algebraic Topology 36
    • Mathematics and Applications 5
    • Homotopy and Cohomology in Algebraic Topology 16
    • Mathematical Dynamics and Fractals 16
    • Advanced Operator Algebra Research 7

David Gabai

43 papers receiving 1.6k citations

Hit Papers

Foliations and the topology of 3-manifolds 1983 · 450 citations
4500+14+28Years since publication100200300400

Peers

David Gabai
Comparison fields: 5 of 48
  • Geometry and Topology 1.8k
  • Discrete Mathematics and Combinatorics 517
  • Mathematical Physics 1.4k
  • Applied Mathematics 365
  • Computational Theory and Mathematics 341
Replace Peter B. Shalen with:
Peter B. Shalen United States
Marc Culler United States
C. McA. Gordon United States
William Jaco United States
Yakov Eliashberg United States
András I. Stipsicz Hungary
Kunio Murasugi Canada
Martin Scharlemann United States
Jerome Levine United States
Alan W. Reid United States
David Gabai relative to Peter B. Shalen United States Peter B. Shalen's profile →
Citations per field
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Citations per year

Countries citing papers authored by David Gabai

Since Specialization
Citations

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

Fields of papers citing papers by David Gabai

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 14 scholars most cited alongside David Gabai, 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 David Gabai Line = papers co-authored together David Gabai links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 46 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Foliations and the topology of 3-manifolds
Hit paper breakdown →
1983450
2 1987178
3 1992138
4 1989124
5 2005116
6 198999
7 198789
8 198658
9 198454
10 198653
11 200950
12 199048
13 199143
14 200343
15 199738
16 198728
17 198328
18 198628
19 200122
20 198719

About David Gabai

David Gabai is a scholar working on Geometry and Topology, Mathematical Physics, Applied Mathematics, Discrete Mathematics and Combinatorics and Computer Graphics and Computer-Aided Design, having authored 46 papers that have together received 1.9k indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (36 papers), Homotopy and Cohomology in Algebraic Topology (16 papers), Mathematical Dynamics and Fractals (16 papers), Geometric Analysis and Curvature Flows (9 papers), Advanced Operator Algebra Research (7 papers), Advanced Combinatorial Mathematics (7 papers), Computational Geometry and Mesh Generation (6 papers) and Mathematics and Applications (5 papers). The work is most often cited by research in Geometry and Topology (1.8k citations), Discrete Mathematics and Combinatorics (517 citations), Mathematical Physics (1.4k citations), Applied Mathematics (365 citations) and Computational Theory and Mathematics (341 citations). David Gabai has collaborated with scholars based in United States, Australia and Canada. Frequent co-authors include Ulrich Oertel, Danny Calegari, William Kazez, Robert Meyerhoff, Tobias Colding, Curtis T. McMullen, Michael Freedman, Steven P. Kerckhoff, Benson Farb and Ian Agol. Their work appears in journals such as Journal of Differential Geometry, Bulletin of the American Mathematical Society, Journal of the American Mathematical Society, Duke Mathematical Journal and Topology.

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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