Ian Agol
Ian Agol  

Ian Agol at Aarhus University, August 2012
 
Born 
Los Angeles, California, U.S.

May 13, 1970
Nationality  American 
Alma mater 
California Institute of Technology University of California, San Diego 
Known for 
Virtually Haken conjecture Freedman–He–Wang conjecture Wise's conjecture Marden tameness conjecture 
Awards 
Breakthrough Prize in Mathematics (2016)^{[1]} Veblen Prize in Geometry (2013) Senior Berwick Prize (2012) Clay Research Award (2009) 
Scientific career  
Fields  Mathematics 
Institutions  University of California, Berkeley 
Doctoral advisor  Michael Freedman 
Ian Agol (born May 13, 1970) is an American mathematician who deals primarily with the topology of threedimensional manifolds.^{[2]}
Contents
Education and career
Agol obtained his Ph.D. in 1998 from the University of California, San Diego with Michael Freedman (Topology of Hyperbolic 3Manifolds).^{[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 2004, Agol proved the Marden tameness conjecture, a conjecture of Albert Marden (de).^{[6]} It states that a hyperbolic 3manifold with finitely generated fundamental group is homeomorphic to the interior of a compact 3manifold. The conjecture was also independently proven by Danny Calegari and David Gabai, and implies the Ahlfors measure conjecture.^{[6]}
In 2012 he announced a proof of the virtually Haken conjecture. It states that every aspherical 3manifold 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.^{[6]}
In 2005, Agol was a Guggenheim Fellow.^{[7]} In 2012 he became a fellow of the American Mathematical Society.^{[8]}
In 2013, Agol was awarded the Oswald Veblen Prize in Geometry, along with Daniel Wise.^{[9]}
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."^{[10]}
In 2016 he was elected to the National Academy of Sciences.^{[11]}
Personal
His twin brother, Eric Agol ,^{[12]}^{[13]} is an astronomy professor at the University of Washington in Seattle.^{[14]}
References
 ^ Lamb, Evelyn (8 November 2015), "By Solving the Mysteries of ShapeShifting Spaces, Mathematician Wins $3Million Prize", Scientific American
 ^ Mackenzie, Dana; Cipra, Barry (December 20, 2006). What's happening in the mathematical sciences. American Mathematical Society. pp. 15–16. ISBN 9780821835852.
 ^ Ian Agol at the Mathematics Genealogy Project.
 ^ "Ian Agol". University of California, Berkeley Department of Mathematics. Retrieved June 25, 2011.
 ^ "Ian Agol". University of Illinois at Chicago. Retrieved June 25, 2011.
 ^ ^{a} ^{b} ^{c} "Clay Research Award". Clay Mathematics Institute. Archived from the original on June 26, 2011. Retrieved June 25, 2011.
 ^ "Ian Agol – Guggenheim Fellows Finder". John Simon Guggenheim Memorial Foundation. Retrieved June 25, 2011.
 ^ List of Fellows of the American Mathematical Society, retrieved 20121103.
 ^ 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.
 ^ National Academy of Sciences Members and Foreign Associates Elected, News from the National Academy of Sciences, National Academy of Sciences, May 3, 2016, retrieved 20160514.
 ^ "Obituaries – Alan Agol". Visalia TimesDelta. October 4, 2005. p. C2.
 ^ "Alan Agol". Marin Independent Journal. October 5, 2005.
 ^ "Eric Agol". University of Washington Department of Astronomy. Retrieved June 25, 2011.
External links
 Ian Agol publications indexed by Google Scholar
 20thcentury American mathematicians
 21stcentury American mathematicians
 Topologists
 University of California, San Diego alumni
 University of Illinois at Chicago faculty
 University of California, Berkeley faculty
 Living people
 1970 births
 Clay Research Award recipients
 Fellows of the American Mathematical Society
 Guggenheim Fellows
 Members of the United States National Academy of Sciences
 People from Hollywood, Los Angeles
 Mathematicians from California
 Breakthrough Prize winners