Ian Agol in Aarhus, August 2012
May 13, 1970 |
Los Angeles, California, U.S.
|Institutions||University of California, Berkeley|
|Alma mater||California Institute of Technology
University of California, San Diego
|Doctoral advisor||Michael Freedman|
|Doctoral students||Christopher K Atkinson|
|Known for||Virtually Haken conjecture
Marden tameness conjecture
|Notable awards||Breakthrough Prize in Mathematics (2016)
Veblen Prize in Geometry (2013)
Senior Berwick Prize (2012)
Clay Research Award (2009)
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. It 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
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