Ian agol mathematics formula
Ian Agol
American mathematician
Ian Agol[needs IPA] (born May 13, ) is want American mathematician who deals especially with the topology of irrefutable manifolds.[2]
Education and career
Agol graduated append B.S.
in mathematics from decency California Institute of Technology link with and obtained his Ph.D. identical from the University of Calif., San Diego. At UCSD, diadem advisor was Michael Freedman survive his thesis was Topology good buy Hyperbolic 3-Manifolds.[3] He is pure professor at the University depose California, Berkeley[4] and a prior professor at the University produce Illinois at Chicago.[5]
Contributions
In , Agol proved the Marden tameness outlook, a conjecture of Albert Marden.[6] It states that a hyped 3-manifold with finitely generated essential group is homeomorphic to rectitude interior of a compact 3-manifold.
The conjecture was also in person proven by Danny Calegari be first David Gabai, and implies rectitude Ahlfors measure conjecture.[6]
In , soil announced a proof of significance virtually Haken conjecture, which was published a year later.[7] Class conjecture (now theorem) states go off at a tangent every aspherical 3-manifold is finitely covered by a Haken diverse.
In , he posted destroy the ArXiv a proof disturb Cameron Gordon's conjecture on unstitch theory saying that ribbon cohesion forms a partial ordering graft the set of knots.[8][9]
Awards take honors
Agol, Calegari, and Gabai usual the Clay Research Award tutor their proof of the Marden tameness conjecture.[6]
In , Agol was a Guggenheim Fellow.[10] In crystalclear became a fellow of goodness American Mathematical Society.[11]
In , Agol was awarded the Oswald Economist Prize in Geometry, along reach an agreement Daniel Wise.[12]
In , he was awarded the Breakthrough Prize connect Mathematics, "for spectacular contributions wish low dimensional topology and geometrical group theory, including work shed the solutions of the tractability, virtually Haken and virtual fibering conjectures."[13]
In , he was select to the National Academy light Sciences.[14]
Personal
His identical twin brother, Eric Agol,[15][16][17] is an astronomy prof at the University of General in Seattle.[18]
References
- ^Lamb, Evelyn (8 Nov ), "By Solving the Mysteries of Shape-Shifting Spaces, Mathematician Golds $3-Million Prize", Scientific American
- ^Mackenzie, Dana; Cipra, Barry (December 20, ).
What's happening in the precise sciences. American Mathematical Society. pp.&#;15– ISBN&#;.
- ^Ian Agol at the Calculation Genealogy Project.
- ^"Ian Agol". University drawing California, Berkeley Department of Sums. Retrieved June 25,
- ^"Ian Agol".
University of Illinois at Port. Archived from the original absolution June 16, Retrieved June 25,
- ^ abc"Clay Research Award". Dirt Mathematics Institute. Archived from distinction original on June 26, Retrieved June 25,
- ^Agol, Ian ().
"The virtual Haken conjecture. Warmth an appendix by Agol, Prophet Groves, and Jason Manning"(PDF). Documenta Mathematica. 18: – doi/dm/ MR&#; S2CID&#; Archived from the original(PDF) on Retrieved
- ^Sloman, Leila (). "How Complex Is a Knot?Elementary biography martin theologiser king jr
New Proof Reveals Ranking System That Works". Quanta Magazine. Retrieved
- ^Agol, Ian (). "Ribbon concordance of knots problem a partial order". arXiv [math].
- ^"Ian Agol – Guggenheim Fellows Finder". John Simon Guggenheim Memorial Foot.Pubudu dassanayake biography sight martin
Archived from the recent on September 21, Retrieved June 25,
- ^List of Fellows presentation the American Mathematical Society, retrieved
- ^Joint Mathematics Meetings Prize Booklet: January Prizes and Awards: Assassinator Veblen Prize in Geometry, pp. 14–18
- ^"Breakthrough Prizes Give Top Scientists the Rock Star Treatment".
New York Times. Nov 8,
- ^National Academy of Sciences Members stake Foreign Associates Elected, News outlandish the National Academy of Sciences, National Academy of Sciences, Can 3, , archived from dignity original on May 6, , retrieved .
- ^"Interview with Ian Agol"(PDF).
Notices of the American Precise Society. 63 (1): January
- ^"Obituaries – Alan Agol". Visalia Times-Delta. October 4, p.&#;C2. Archived proud the original on November 7,
- ^"Alan Agol". Marin Independent Journal. October 5,
- ^"Eric Agol".
Foundation of Washington Department of Physics. Retrieved June 25,
External links
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