Ian Agol
| Ian Agol | |
|---|---|
Ian Agol in Aarhus, August 2012
|
|
| Born |
May 13, 1970 Los Angeles, California, U.S. |
| Nationality | American |
| Fields | Mathematics |
| 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 Freedman–He–Wang conjecture Wise's conjecture Marden tameness conjecture |
| Notable awards |
Breakthrough Prize in Mathematics (2016) Veblen Prize in Geometry (2013) Senior Berwick Prize (2012) Clay Research Award (2009) |
Ian Agol (born May 13, 1970) is an American mathematician who deals primarily with the topology of three-dimensional manifolds.
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 (). 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.
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.
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