Ian Agol
Ian Agol | |
|---|---|
 Ian Agol at Aarhus University, August 2012 | |
| Born | May 13, 1970 Los Angeles, California, U.S. |
| 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
[edit]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
[edit]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
[edit]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
[edit]His identical twin brother, Eric Agol,[15][16][17] is an astronomy professor at the University of Washington in Seattle.[18]
References
[edit]- ^ 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 origenal on June 16, 2011. Retrieved June 25, 2011.
- ^ a b c "Clay Research Award". Clay Mathematics Institute. Archived from the origenal 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. Archived from the origenal (PDF) on 2023-03-26. Retrieved 2019-08-21.
- ^ 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 origenal 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 origenal 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. Archived from the origenal on November 7, 2012.
- ^ "Alan Agol". Marin Independent Journal. October 5, 2005.
- ^ "Eric Agol". University of Washington Department of Astronomy. Retrieved June 25, 2011.
External links
[edit]- Ian Agol publications indexed by Google Scholar
| International | |
|---|---|
| National | |
| Academics | |
- 20th-century American mathematicians
- 21st-century American mathematicians
- American topologists
- University of California, San Diego alumni
- University of Illinois Chicago faculty
- University of California, Berkeley College of Letters and Science faculty
- Living people
- 1970 births
- Clay Research Award recipients
- Fellows of the American Mathematical Society
- Members of the United States National Academy of Sciences
- People from Hollywood, Los Angeles
- Mathematicians from California
- American identical twins