Ian Agol.

Born: May 13, 1970, Los Angeles, United States Of America.

Higher Education: PhD in Mathematics at University of California, San Diego (California, United States of America).

Main Publications: 

  • The virtual Haken conjecture. With an appendix by Agol, Daniel Groves, and Jason Manning, Doc. Math., vol. 18,‎ 2013, pp. 1045-1087
  • Bounds on exceptional Dehn filling, Geom. Topol. 4 (2000), pp. 431–449
  • with D. Long, A. Reid: The Bianchi groups are separable on geometrically finite subgroups, Ann. of Math. (2) 153 (2001), no. 3, pp. 599–621
  • Tameness of hyperbolic 3-manifolds, Preprint 2004
  • with P. Storm, W. Thurston: Lower bounds on volumes of hyperbolic Haken 3-manifolds. With an appendix by Nathan Dunfield, J. Amer. Math. Soc. 20 (2007), no. 4, pp. 1053–1077
  • Criteria for virtual fibering, J. Topol. 1 (2008), no. 2, pp. 269–284
  • with D. Groves, J. F. Manning: Residual finiteness, QCERF and fillings of hyperbolic groups, Geometry and Topology, 13 (2009), no. 2, pp. 1043–1073
  • with Y.Liu: Presentation length and Simon’s conjecture, J. Amer. Math. Soc. 25 (2012), no. 1, pp. 151–187
  • D. Groves, J. F. Manning: An alternate proof of Wise’s malnormal special quotient theorem. Forum Math. Pi 4 (2016), e1, 54 pp.

Knows for:

  • Proof of the Virtually Haken conjecture
  • Proof of the Freedman–He–Wang conjecture
  • Proof of the Marden tameness conjecture.

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