David Gabai

{{Short description|American mathematician}}

{{Infobox scientist

| name = David Gabai

| image =

| image_size =

| caption =

| birth_date = {{birth date and age|1954|7|7}}{{cite LAF|id=n 85156268}}

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| death_date =

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| nationality = American

| fields = Mathematics

| workplaces = Princeton University
Caltech

| alma_mater = Princeton University
MIT

| doctoral_advisor = William Thurston

| doctoral_students = Maggie Miller

|known_for = Low-dimensional topology

| awards = Oswald Veblen Prize in Geometry (2004)
Clay Research Award (2009)

}}

David Gabai is an American mathematician and the Hughes-Rogers Professor of Mathematics at Princeton University.{{Cite web|url=https://www.math.princeton.edu/people/david-gabai|title=David Gabai {{!}} Math Faculty|last=|first=|date=|website=www.math.princeton.edu|archive-url=|archive-date=|access-date=2019-10-13}} 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.{{Cite book|last=Gabai|first=David|url=https://catalog.princeton.edu/catalog/19120|title=Foliations and genera of links|date=1980|language=English}} Gabai completed his doctoral dissertation, titled "Foliations and genera of links", under the supervision of William Thurston.{{MathGenealogy |id=11750 }}

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.{{Cite web|title=David Gabai - CV|url=https://web.math.princeton.edu/WebCV/GabaiCV.pdf|last=|first=|date=|website=|archive-url=|archive-date=|access-date=}}

Honours and awards

In 2004, David Gabai was awarded the Oswald Veblen Prize in Geometry,[https://www.ams.org/notices/200404/comm-veblen.pdf 2004 Veblen Prize] 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.{{cite web|title=ICM Plenary and Invited Speakers since 1897|url=http://www.mathunion.org/db/ICM/Speakers/SortedByCongress.php|publisher=International Congress of Mathematicians|access-date=2013-08-14|archive-date=2017-11-08|archive-url=https://web.archive.org/web/20171108012153/http://www.mathunion.org/db/ICM/Speakers/SortedByCongress.php|url-status=dead}}

In 2011, he was elected to the United States National Academy of Sciences.[http://www.nasonline.org/site/PageServer?pagename=News_May_3_2011_member_election Members and Foreign Associates Elected] {{webarchive |url=https://web.archive.org/web/20110507232125/http://www.nasonline.org/site/PageServer?pagename=News_May_3_2011_member_election |date=May 7, 2011 }}, National Academy of Sciences, May 3, 2011. In 2012, he became a fellow of the American Mathematical Society.[https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-01-19.

Gabai was elected as a member of the American Academy of Arts and Sciences in 2014.{{Cite web|title=David Gabai|url=https://www.amacad.org/person/david-gabai|website=American Academy of Arts & Sciences|language=en|access-date=2020-05-13}}

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