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|Born||July 7, 1954|
|Alma mater||Princeton University
|Doctoral advisor||William Thurston|
|Known for||Low-dimensional topology|
|Notable awards||Oswald Veblen Prize in Geometry (2004)
Clay Research Award (2009)
David Gabai received his S.B. degree from the MIT in 1976 and his Ph.D. from Princeton in 1980 under the direction of William Thurston. During his Ph.D., he obtained foundational results on the foliations of 3-manifolds.
Honours and awards
David Gabai has played a key role in the field of topology of 3-manifolds in the last three decades. Some of the foundational results he and his collaborators have proved are as follows: Existence of taut foliation in 3-manifolds, Property R Conjecture, foundation of essential laminations, Seifert fiber space conjecture, rigidity of homotopy hyperbolic 3-manifolds, weak hyperbolization for 3-manifolds with genuine lamination, Smale conjecture for hyperbolic 3-manifolds, Marden's Tameness Conjecture, Weeks manifold being the minimum volume closed hyperbolic 3-manifold.
- Foliations and the topology of 3-manifolds; I: J. Differential Geom. 18 (1983), no. 3, 445–503; II: J. Differential Geom. 26 (1987), no. 3, 461–478; III: J. Differential Geom. 26 (1987), no. 3, 479–536.
- with U. Oertel: Essential laminations in 3-manifolds, Ann. of Math. (2) 130 (1989), no. 1, 41–73.
- Convergence groups are Fuchsian groups, Ann. of Math. (2) 136 (1992), no. 3, 447–510.
- with G. R. Meyerhoff, N. Thurston: Homotopy hyperbolic 3-manifolds are hyperbolic, Ann. of Math. (2) 157 (2003), no. 2, 335–431.
- with D. Calegari: Shrinkwrapping and the taming of hyperbolic 3-manifolds, J. Amer. Math. Soc. 19 (2006), no. 2, 385–446.
- with G. R. Meyerhoff, P. Milley: Minimum volume cusped hyperbolic three-manifolds, J. Amer. Math. Soc. 22 (2009), no. 4, 1157–1215.
- Date information sourced from Library of Congress Authorities data, via corresponding WorldCat Identities linked authority file (LAF) .
- 2004 Veblen Prize
- "ICM Plenary and Invited Speakers since 1897". International Congress of Mathematicians.
- Members and Foreign Associates Elected, National Academy of Sciences, May 3, 2011.
- List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
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