David Gabai
#10,001
Most Influential Person Now
American mathematician
David Gabai's AcademicInfluence.com Rankings
David Gabaimathematics Degrees
Mathematics
#403
World Rank
#818
Historical Rank
#184
USA Rank
Measure Theory
#3035
World Rank
#3604
Historical Rank
#882
USA Rank
Download Badge
Mathematics
David Gabai's Degrees
- PhD Mathematics Princeton University
Why Is David Gabai Influential?
(Suggest an Edit or Addition)According to Wikipedia, David Gabai is an American mathematician and the Hughes-Rogers Professor of Mathematics at Princeton University. Focused on low-dimensional topology and hyperbolic geometry, he is a leading researcher in those subjects.
David Gabai's Published Works
Published Works
- Foliations and the topology of 3-manifolds (1987) (929)
- Convergence groups are Fuchsian groups (1991) (332)
- Shrinkwrapping and the taming of hyperbolic 3-manifolds : preprint (2004) (281)
- FOLIATIONS AND THE TOPOLOGY OF 3-MANIFOLDS. II (2008) (228)
- Essential laminations in 3-manifolds (1989) (207)
- Surgery on knots in solid tori (1989) (180)
- The murasugi sum is a natural geometric operation (1983) (156)
- Homotopy hyperbolic 3-manifolds are hyperbolic (1996) (148)
- Detecting fibred links inS3 (1986) (132)
- Minimum volume cusped hyperbolic three-manifolds (2007) (127)
- Foliations and genera of links (1984) (101)
- Genera of the arborescent links (1986) (94)
- On the geometric and topological rigidity of hyperbolic 3-manifolds (1994) (85)
- 1-bridge braids in solid tori (1990) (84)
- Genera of the alternating links (1986) (63)
- Group negative curvature for 3–manifolds with genuine laminations (1998) (56)
- THE SMALE CONJECTURE FOR HYPERBOLIC 3-MANIFOLDS: ISOM(M 3 ) Diff(M 3 ) (2001) (46)
- MOM TECHNOLOGY AND VOLUMES OF HYPERBOLIC 3-MANIFOLDS (2006) (42)
- Almost filling laminations and the connectivity of ending lamination space (2008) (40)
- Foliations and 3-Manifolds* (1990) (38)
- The classification of maps of surfaces (1986) (38)
- Genus is superadditive under band connected sum (1987) (35)
- The simple loop conjecture (1985) (35)
- Essential laminations and Kneser normal form (1999) (32)
- The 4-dimensional light bulb theorem (2017) (32)
- Taut foliations of 3-manifolds and suspensions of $S^1$ (1992) (28)
- Homotopy hyperbolic 3-manifolds are virtually hyperbolic (1994) (28)
- Volumes of Tubes in Hyperbolic 3-Manifolds (2001) (27)
- Pseudo-Anosov maps and surgery on fibred 2-bridge knots (1990) (27)
- Mom technology and hyperbolic 3-manifolds (2009) (23)
- Knotted 3-balls in S^4 (2019) (19)
- ON THE TOPOLOGY OF ENDING LAMINATION SPACE (2011) (19)
- Foliations and surgery on knots (1986) (19)
- Order trees and laminations of the plane (1997) (18)
- Combinatorial volume preserving flows and taut foliations (2000) (16)
- THE SMALE CONJECTURE FOR HYPERBOLIC 3-MANIFOLDS (2002) (14)
- Quasi-Minimal Semi-Euclidean Laminations in 3-Manifolds (1996) (13)
- Effective finiteness of irreducible Heegaard splittings of non-Haken 3-manifolds (2014) (11)
- Self-referential discs and the light bulb lemma (2020) (11)
- The Whitehead manifold is a union of two Euclidean spaces (2011) (11)
- The finiteness of the mapping class group for atoroidal 3-manifolds with genuine laminations (1998) (10)
- On the classification of Heegaard splittings (2015) (9)
- 3‐Manifolds with Essential Laminations are Covered by Solid Tori (1993) (7)
- The classification of maps of nonorientable surfaces (1988) (7)
- Hyperbolic 3-manifolds of low cusp volume (2021) (5)
- The fully marked surface theorem (2020) (5)
- On Thurston’s Euler class-one conjecture (2016) (5)
- Covering a nontaming knot by the unlink (2007) (5)
- Hyperbolic Geometry and 3-Manifold Topology (2007) (4)
- An internal hierarchy for 3-manifolds (1985) (3)
- William P. Thurston, 1946--2012 (2015) (3)
- COMMENTARY ON THURSTON’S WORK ON FOLIATIONS (2018) (2)
- Exceptional hyperbolic 3-manifolds (2013) (2)
- Hyperbolic 3-manifolds in the 2000's (2011) (2)
- On Brittenham's theorem (2001) (1)
- Geometric methods in Heegaard theory (2020) (0)
- Flat S in 3-manifolds (2003) (0)
- The Two Eyes Lemma: a linking problem for horoball necklaces (2018) (0)
- Proving a manifold to be hyperbolic once (2009) (0)
- The Two-Eyes Lemma: A Linking Problem for Table-Top Necklaces (2022) (0)
- The Two-Eyes Lemma: A Linking Problem for Table-Top Necklaces (2022) (0)
- ec 2 00 6 On the 3-Dimensional Poincaré Conjecture and the 4-Dimensional Smooth Schoenflies Problem – a double research announcement – by Valentin Poénaru (2006) (0)
- Integrating Enterprise Oracle-Based Applications with GIS Capabilities: WEB-SDE Editing (2004) (0)
- 3-Spheres in the 4-Sphere and Pseudo-Isotopies of $S^1\times S^3$ (2022) (0)
- On the automorphism groups of hyperbolic manifolds (2023) (0)
- Invited Speakers (2018) (0)
- Surveys in 3-manifold topology (2022) (0)
- XXV Surveys in 3-Manifold Topology and Geometry (2022) (0)
- A SUMMARY OF JESSE JOHNSON’S AXIOMATIC THIN POSITION (2013) (0)
This paper list is powered by the following services:
Other Resources About David Gabai
What Schools Are Affiliated With David Gabai?
David Gabai is affiliated with the following schools: