Ian Agol

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Ian Agol
Senior Berwick Prize (2012)
Clay Research Award (2009)
Scientific career
FieldsMathematics
InstitutionsUniversity of California, Berkeley
Doctoral advisorMichael 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

University of Illinois at Chicago.[5]

Contributions

In 2004, Agol proved the

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

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

  1. ^ Lamb, Evelyn (8 November 2015), "By Solving the Mysteries of Shape-Shifting Spaces, Mathematician Wins $3-Million Prize", Scientific American
  2. ISBN 978-0-8218-3585-2
    .
  3. ^ Ian Agol at the Mathematics Genealogy Project.
  4. ^ "Ian Agol". University of California, Berkeley Department of Mathematics. Retrieved June 25, 2011.
  5. University of Illinois at Chicago. Archived from the original
    on June 16, 2011. Retrieved June 25, 2011.
  6. ^ a b c "Clay Research Award". Clay Mathematics Institute. Archived from the original on June 26, 2011. Retrieved June 25, 2011.
  7. S2CID 255586740
    .
  8. ^ Sloman, Leila (2022-05-18). "How Complex Is a Knot? New Proof Reveals Ranking System That Works". Quanta Magazine. Retrieved 2022-05-20.
  9. arXiv:2201.03626 [math
    ].
  10. ^ "Ian Agol – Guggenheim Fellows Finder". John Simon Guggenheim Memorial Foundation. Archived from the original on September 21, 2012. Retrieved June 25, 2011.
  11. ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-03.
  12. ^ Joint Mathematics Meetings Prize Booklet: January 2013 Prizes and Awards: Oswald Veblen Prize in Geometry, pp. 14–18
  13. New York Times
    . Nov 8, 2015.
  14. ^ 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.
  15. ^ "Interview with Ian Agol" (PDF). Notices of the American Mathematical Society. 63 (1): 24. January 2016.
  16. ^ "Obituaries – Alan Agol". Visalia Times-Delta. October 4, 2005. p. C2.
  17. ^ "Alan Agol". Marin Independent Journal. October 5, 2005.
  18. ^ "Eric Agol". University of Washington Department of Astronomy. Retrieved June 25, 2011.

External links

Retrieved from "https://en.wikipedia.org/w/index.php?title=Ian_Agol&oldid=1217696546"