David Gabai
David Gabai | |
---|---|
Born | (1954-07-07) July 7, 1954 (age 70)[1] |
Nationality | American |
Alma mater | Princeton University MIT |
Known for | Low-dimensional topology |
Awards | Oswald Veblen Prize in Geometry (2004) Clay Research Award (2009) |
Scientific career | |
Fields | Mathematics |
Institutions | Princeton University Caltech |
Doctoral advisor | William Thurston |
David Gabai is an American mathematician and the Hughes-Rogers Professor of Mathematics at Princeton University.[2] His research focuses on low-dimensional topology and hyperbolic geometry.
Biography
David Gabai received his B.S. in mathematics from MIT in 1976 and his Ph.D. in mathematics from Princeton University in 1980.[3] Gabai completed his doctoral dissertation, titled "Foliations and genera of links", under the supervision of William Thurston.[4]
After positions at Harvard and University of Pennsylvania, Gabai spent most of the period of 1986–2001 at Caltech, and has been at Princeton since 2001. Gabai was the Chair of the Department of Mathematics at Princeton University from 2012 to 2019.[5]
Honours and awards
In 2004, David Gabai was awarded the Oswald Veblen Prize in Geometry,[6] given every three years by the American Mathematical Society.
He was an invited speaker in the International Congress of Mathematicians 2010, Hyderabad on the topic of topology.[7]
In 2011, he was elected to the United States National Academy of Sciences.[8] In 2012, he became a fellow of the American Mathematical Society.[9]
Gabai was elected as a member of the American Academy of Arts and Sciences in 2014.[10]
Work
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.
Selected works
- 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.
References
- ^ Date information sourced from Library of Congress Authorities data, via corresponding WorldCat Identities linked authority file (LAF).
- ^ "David Gabai | Math Faculty". www.math.princeton.edu. Retrieved 2019-10-13.
- ^ Gabai, David (1980). Foliations and genera of links.
- ^ David Gabai at the Mathematics Genealogy Project
- ^ "David Gabai - CV" (PDF).
- ^ 2004 Veblen Prize
- ^ "ICM Plenary and Invited Speakers since 1897". International Congress of Mathematicians. Archived from the original on 2017-11-08. Retrieved 2013-08-14.
- ^ Members and Foreign Associates Elected Archived May 7, 2011, at the Wayback Machine, National Academy of Sciences, May 3, 2011.
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
- ^ "David Gabai". American Academy of Arts & Sciences. Retrieved 2020-05-13.
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- 1964 Christos Papakyriakopoulos
- 1964 Raoul Bott
- 1966 Stephen Smale
- 1966 Morton Brown and Barry Mazur
- 1971 Robion Kirby
- 1971 Dennis Sullivan
- 1976 William Thurston
- 1976 James Harris Simons
- 1981 Mikhail Gromov
- 1981 Shing-Tung Yau
- 1986 Michael Freedman
- 1991 Andrew Casson and Clifford Taubes
- 1996 Richard S. Hamilton and Gang Tian
- 2001 Jeff Cheeger, Yakov Eliashberg and Michael J. Hopkins
- 2004 David Gabai
- 2007 Peter Kronheimer and Tomasz Mrowka; Peter Ozsváth and Zoltán Szabó
- 2010 Tobias Colding and William Minicozzi; Paul Seidel
- 2013 Ian Agol and Daniel Wise
- 2016 Fernando Codá Marques and André Neves
- 2019 Xiuxiong Chen, Simon Donaldson and Song Sun