Ian Agol
Ian Agol | |
---|---|
Ian Agol at Aarhus University, August 2012 | |
Born | (1970-05-13) May 13, 1970 (age 54) Los Angeles, California, U.S. |
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[needs IPA] (born May 13, 1970) 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 1992 and obtained his Ph.D. in 1998 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 2004, 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 measure conjecture.[6]
In 2012, he announced a proof of the virtually Haken conjecture, which was published a year later.[7] The conjecture (now theorem) states that every aspherical 3-manifold is finitely covered by a Haken manifold.
In 2022, he posted on the ArXiv a proof of Cameron Gordon's 1981 conjecture on knot theory saying that ribbon concordance forms a partial ordering on the set of knots.[8][9]
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.[10] In 2012 he became a fellow of the American Mathematical Society.[11]
In 2013, Agol was awarded the Oswald Veblen Prize in Geometry, along with Daniel Wise.[12]
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."[13]
In 2016, he was elected to the National Academy of Sciences.[14]
Personal
His identical twin brother, Eric Agol,[15][16][17] is an astronomy professor at the University of Washington in Seattle.[18]
References
- ^ Lamb, Evelyn (8 November 2015), "By Solving the Mysteries of Shape-Shifting Spaces, Mathematician Wins $3-Million Prize", Scientific American
- ^ Mackenzie, Dana; Cipra, Barry (December 20, 2006). What's happening in the mathematical sciences. American Mathematical Society. pp. 15–16. ISBN 978-0-8218-3585-2.
- ^ 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. Archived from the original on June 16, 2011. 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.
- ^ Agol, Ian (2013). "The virtual Haken conjecture. With an appendix by Agol, Daniel Groves, and Jason Manning" (PDF). Documenta Mathematica. 18: 1045–1087. doi:10.4171/dm/421. MR 3104553. S2CID 255586740.
- ^ Sloman, Leila (2022-05-18). "How Complex Is a Knot? New Proof Reveals Ranking System That Works". Quanta Magazine. Retrieved 2022-05-20.
- ^ Agol, Ian (2022-01-10). "Ribbon concordance of knots is a partial order". arXiv:2201.03626 [math].
- ^ "Ian Agol – Guggenheim Fellows Finder". John Simon Guggenheim Memorial Foundation. Archived from the original on September 21, 2012. Retrieved June 25, 2011.
- ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-03.
- ^ 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, archived from the original on May 6, 2016, retrieved 2016-05-14.
- ^ "Interview with Ian Agol" (PDF). Notices of the American Mathematical Society. 63 (1): 24. January 2016.
- ^ "Obituaries – Alan Agol". Visalia Times-Delta. 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
- v
- t
- e
- Simon Donaldson, Maxim Kontsevich, Jacob Lurie, Terence Tao and Richard Taylor (2015)
- Ian Agol (2016)
- Jean Bourgain (2017)
- Christopher Hacon, James McKernan (2018)
- Vincent Lafforgue (2019)
- Alex Eskin (2020)
- Martin Hairer (2021)
- Takuro Mochizuki (2022)
- Daniel A. Spielman (2023)
- Simon Brendle (2024)
physics
- Nima Arkani-Hamed, Alan Guth, Alexei Kitaev, Maxim Kontsevich, Andrei Linde, Juan Maldacena, Nathan Seiberg, Ashoke Sen, Edward Witten (2012)
- Special: Stephen Hawking, Peter Jenni, Fabiola Gianotti (ATLAS), Michel Della Negra, Tejinder Virdee, Guido Tonelli, Joseph Incandela (CMS) and Lyn Evans (LHC) (2013)
- Alexander Polyakov (2013)
- Michael Green and John Henry Schwarz (2014)
- Saul Perlmutter and members of the Supernova Cosmology Project; Brian Schmidt, Adam Riess and members of the High-Z Supernova Team (2015)
- Special: Ronald Drever, Kip Thorne, Rainer Weiss and contributors to LIGO project (2016)
- Yifang Wang, Kam-Biu Luk and the Daya Bay team, Atsuto Suzuki and the KamLAND team, Kōichirō Nishikawa and the K2K / T2K team, Arthur B. McDonald and the Sudbury Neutrino Observatory team, Takaaki Kajita and Yōichirō Suzuki and the Super-Kamiokande team (2016)
- Joseph Polchinski, Andrew Strominger, Cumrun Vafa (2017)
- Charles L. Bennett, Gary Hinshaw, Norman Jarosik, Lyman Page Jr., David Spergel (2018)
- Special: Jocelyn Bell Burnell (2018)
- Charles Kane and Eugene Mele (2019)
- Special: Sergio Ferrara, Daniel Z. Freedman, Peter van Nieuwenhuizen (2019)
- The Event Horizon Telescope Collaboration (2020)
- Eric Adelberger, Jens H. Gundlach and Blayne Heckel (2021)
- Special: Steven Weinberg (2021)
- Hidetoshi Katori and Jun Ye (2022)
- Charles H. Bennett, Gilles Brassard, David Deutsch, Peter W. Shor (2023)
- John Cardy and Alexander Zamolodchikov (2024)
- Cornelia Bargmann, David Botstein, Lewis C. Cantley, Hans Clevers, Titia de Lange, Napoleone Ferrara, Eric Lander, Charles Sawyers, Robert Weinberg, Shinya Yamanaka and Bert Vogelstein (2013)
- James P. Allison, Mahlon DeLong, Michael N. Hall, Robert S. Langer, Richard P. Lifton and Alexander Varshavsky (2014)
- Alim Louis Benabid, Charles David Allis, Victor Ambros, Gary Ruvkun, Jennifer Doudna and Emmanuelle Charpentier (2015)
- Edward Boyden, Karl Deisseroth, John Hardy, Helen Hobbs and Svante Pääbo (2016)
- Stephen J. Elledge, Harry F. Noller, Roeland Nusse, Yoshinori Ohsumi, Huda Zoghbi (2017)
- Joanne Chory, Peter Walter, Kazutoshi Mori, Kim Nasmyth, Don W. Cleveland (2018)
- C. Frank Bennett and Adrian R. Krainer, Angelika Amon, Xiaowei Zhuang, Zhijian Chen (2019)
- Jeffrey M. Friedman, Franz-Ulrich Hartl, Arthur L. Horwich, David Julius, Virginia Man-Yee Lee (2020)
- David Baker, Catherine Dulac, Dennis Lo, Richard J. Youle [de] (2021)
- Jeffery W. Kelly, Katalin Karikó, Drew Weissman, Shankar Balasubramanian, David Klenerman and Pascal Mayer (2022)
- Clifford P. Brangwynne, Anthony A. Hyman, Demis Hassabis, John Jumper, Emmanuel Mignot, Masashi Yanagisawa (2023)
- Carl June, Michel Sadelain, Sabine Hadida, Paul Negulescu, Fredrick Van Goor, Thomas Gasser, Ellen Sidransky and Andrew Singleton (2024)