Nationality American Fields Mathematics | Role Mathematician Name Ian Agol | |
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Alma mater California Institute of TechnologyUniversity of California, San Diego Doctoral students Shawn RafalskiChristopher K Atkinson Known for Virtually Haken conjectureFreedman–He–Wang conjectureWise's conjecture Notable awards Veblen Prize in Geometry (2013)Senior Berwick Prize (2012)Clay Research Award (2009)Breakthrough Prize in Mathematics (2016) Similar People | ||
Doctoral advisor Michael Freedman | ||
Berkeley mathematician ian agol wins breakthrough prize
Ian Agol (born May 13, 1970) is an American mathematician who deals primarily with the topology of three-dimensional manifolds.
Contents
- Berkeley mathematician ian agol wins breakthrough prize
- Ian Agol 2016 Breakthrough Prize in Mathematics Symposium
- Education and career
- Contributions
- Awards and honors
- Personal
- References
Ian Agol: 2016 Breakthrough Prize in Mathematics Symposium
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.
Contributions
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
Agol, Calegari, and Gabai received the 2009 Clay Research Award for their proof of the Marden tameness conjecture.
In 2005, Agol was a Guggenheim Fellow. In 2012 he became a fellow of the American Mathematical Society.
In 2013, Agol was awarded the Oswald Veblen Prize in Geometry, along with Daniel Wise.
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."
In 2016 he was elected to the National Academy of Sciences.
Personal
His twin brother, Eric Agol, is an astronomy professor at the University of Washington in Seattle.