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  • Ian Agol

    American mathematician

    Ian Agol[needs IPA] (born May 13, ) is an American mathematician who deals primarily with the topology of three-dimensional manifolds.[2]

    Education and career

    Agol graduated with B.S.

    in mathematics from the California Institute of Technology in and obtained his Ph.D. in from the University of California, San Diego. At UCSD, his advisor was Michael Freedman and his thesis was Topology of Hyperbolic 3-Manifolds.[3] He is a professor at the University of California, Berkeley[4] and a former professor at the University of Illinois at Chicago.[5]

    Contributions

    In , Agol proved the Marden tameness conjecture, a conjecture of Albert Marden.[6] 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