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Dive into the research topics where David Gabai is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
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Collaborations and top research areas from the last five years
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Smooth 4-manifold topology, hyperbolic 3-manifolds and diffeomorphism groups
NSF - National Science Foundation
7/1/23 → 6/30/28
Project: Research project
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Smooth 4-manifold topology, 3-manifold group actions on R, the Heegaard Tree and low volume hyperbolic 3-manifolds
NSF - National Science Foundation
7/1/20 → 6/30/24
Project: Research project
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Hyperbolic Geometry, Heegaard Surfaces, Foliation/Lamination Theory and Smooth Four Dimensional Topology
NSF - National Science Foundation
7/1/16 → 6/30/22
Project: Research project
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Problems in Low Dimensional Geometry and Topology
NSF - National Science Foundation
7/1/10 → 6/30/17
Project: Research project
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FRG: Collaborative Research: Mean Curvature Flow as a Tool in Low Dimensional Topology
NSF - National Science Foundation
7/31/09 → 7/31/13
Project: Research project
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Enumerating Kleinian Groups
Gabai, D., Meyerhoff, R., Thurston, N. & Yarmola, A., 2023, Computational Aspects of Discrete Subgroups of Lie Groups. Detinko, A., Kapovich, M., Kontorovich, A., Sarnak, P. & Schwartz, R. (eds.). American Mathematical Society, p. 1-25 25 p. (Contemporary Mathematics; vol. 783).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
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The Two-Eyes Lemma: A Linking Problem for Table-Top Necklaces
Gabai, D., Meyerhoff, R. & Yarmola, A., Apr 2022, In: Graphs and Combinatorics. 38, 2, 29.Research output: Contribution to journal › Article › peer-review
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Self-referential discs and the light bulb lemma
Gabai, D., 2021, In: Commentarii Mathematici Helvetici. 96, 3, p. 483-513 31 p.Research output: Contribution to journal › Article › peer-review
1 Scopus citations -
The 4-dimensional light bulb theorem
Gabai, D., 2020, In: Journal of the American Mathematical Society. 33, 3, p. 609-652 44 p.Research output: Contribution to journal › Article › peer-review
Open Access10 Scopus citations -
The fully marked surface theorem
Gabai, D. & Yazdi, M., 2020, In: Acta Mathematica. 225, 2, p. 369-413 45 p.Research output: Contribution to journal › Article › peer-review
Open Access3 Scopus citations