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Ian Agol

University of California, Berkeley

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About Ian

Ian Agol is a Professor in the Department of Mathematics at the University of California, Berkeley, appointed in 2006, with research expertise in geometry and topology. He received a B.S. in Mathematics from the California Institute of Technology in 1992 and a Ph.D. in Mathematics from the University of California, San Diego in 1998, advised by Michael Hartley Freedman on the topology and geometry of hyperbolic 3-manifolds. His academic career includes postdoctoral positions as Visiting Research Assistant Professor at the University of California, Davis from 1998 to 2000 and Postdoctoral Fellow at the University of Melbourne from 2000 to 2001. He then served at the University of Illinois at Chicago as Assistant Professor from 2001 to 2004, Associate Professor from 2004 to 2006, and Professor from 2006 to 2007, before joining UC Berkeley as Associate Professor in 2007 and advancing to full Professor in 2012. Additional appointments include Distinguished Visiting Professor at the Institute for Advanced Study in 2015-2016 and Miller Professor in Fall 2012.

Agol's research centers on low-dimensional topology, 3-manifold topology, hyperbolic geometry, and geometric group theory. His groundbreaking contributions include proofs related to the tameness conjecture, virtual Haken conjecture, virtual fibering conjecture, and Gordon’s conjecture on knot concordance. These achievements have significantly advanced understanding in hyperbolic 3-manifolds and related fields. Notable publications include 'The virtual Haken conjecture, with an appendix by Agol, Daniel Groves, and Jason Manning' (Doc. Math., 2013), 'Criteria for virtual fibering' (J. Topol., 2008), 'Lower bounds on volumes of hyperbolic Haken 3-manifolds' with Peter A. Storm and William P. Thurston (J. Amer. Math. Soc., 2007), 'Presentation length and Simon's conjecture' with Yi Liu (J. Amer. Math. Soc., 2012), and 'An alternate proof of Wise's malnormal special quotient theorem' with Daniel Groves and Jason Fox Manning (Forum Math. Pi, 2016). He has supervised over a dozen Ph.D. theses on topics such as ribbon concordances, veering triangulations, and Dehn fillings. Agol's honors include the 2016 Breakthrough Prize in Mathematics, 2013 Oswald Veblen Prize in Geometry, 2009 Clay Research Award, election to the National Academy of Sciences in 2016, election to the American Academy of Arts and Sciences in 2025, Simons Investigator award from 2015 to 2025, and James H. Simons Chair from 2016 to 2021. He has served as editor for Forum of Mathematics Σ, Geometry and Topology, and Journal of Topology, and as associate editor for the Journal of the American Mathematical Society and Annals of Mathematics.

Professional Email: ianagol@math.berkeley.edu

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