Ian Agol at Aarhus University, August 2012
|Alma mater||California Institute of Technology|
University of California, San Diego
|Known for||Virtually Haken conjecture|
Marden tameness conjecture
|Awards||Breakthrough Prize in Mathematics (2016)|
Veblen Prize in Geometry (2013)
Senior Berwick Prize (2012)
Clay Research Award (2009)
|Institutions||University of California, Berkeley|
|Doctoral advisor||Michael Freedman|
Education and career
Agol obtained his Ph.D. in 1998 from the University of California, San Diego with Michael Freedman (Topology of Hyperbolic 3-Manifolds). He is a professor at the University of California, Berkeley and a former professor at the University of Illinois at Chicago.
In 2004, Agol proved the Marden tameness conjecture, a conjecture of Albert Marden (de). It states that a hyperbolic 3-manifold with finitely generated fundamental group is homeomorphic to the interior of a compact 3-manifold. The conjecture was also independently proven by Danny Calegari and David Gabai, and implies the Ahlfors measure conjecture.
In 2012 he announced a proof of the virtually Haken conjecture, which was published a year later. The conjecture (now theorem) states that every aspherical 3-manifold is finitely covered by a Haken manifold.
Awards and honors
In 2015, he was awarded the 2016 Breakthrough Prize in Mathematics, "for spectacular contributions to low dimensional topology and geometric group theory, including work on the solutions of the tameness, virtually Haken and virtual fibering conjectures."
- Lamb, Evelyn (8 November 2015), "By Solving the Mysteries of Shape-Shifting Spaces, Mathematician Wins $3-Million Prize", Scientific American
- Mackenzie, Dana; Cipra, Barry (December 20, 2006). What's happening in the mathematical sciences. American Mathematical Society. pp. 15–16. ISBN 978-0-8218-3585-2.
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- Agol, Ian (2013). "The virtual Haken conjecture. With an appendix by Agol, Daniel Groves, and Jason Manning" (PDF). Documenta Mathematica. 18: 1045–1087. MR 3104553.
- "Ian Agol – Guggenheim Fellows Finder". John Simon Guggenheim Memorial Foundation. Retrieved June 25, 2011.
- List of Fellows of the American Mathematical Society, retrieved 2012-11-03.
- Joint Mathematics Meetings Prize Booklet: January 2013 Prizes and Awards: Oswald Veblen Prize in Geometry, pp. 14–18
- "Breakthrough Prizes Give Top Scientists the Rock Star Treatment". New York Times. Nov 8, 2015.
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- "Eric Agol". University of Washington Department of Astronomy. Retrieved June 25, 2011.