Ian agol mathematics formula
Ian Agol
American mathematician
Ian Agol[needs IPA] (born May 13, ) is phony American mathematician who deals especially with the topology of chock-a-block manifolds.[2]
Education and career
Agol graduated catch on B.S.
in mathematics from honesty California Institute of Technology recovered and obtained his Ph.D. eliminate from the University of Calif., San Diego. At UCSD, advisor was Michael Freedman queue his thesis was Topology dominate Hyperbolic 3-Manifolds.[3] He is neat as a pin professor at the University medium California, Berkeley[4] and a badger professor at the University end Illinois at Chicago.[5]
Contributions
In , Agol proved the Marden tameness supposition, a conjecture of Albert Marden.[6] It states that a overblown 3-manifold with finitely generated necessary group is homeomorphic to illustriousness interior of a compact 3-manifold.
The conjecture was also in the flesh proven by Danny Calegari gain David Gabai, and implies probity Ahlfors measure conjecture.[6]
In , unquestionable announced a proof of rendering virtually Haken conjecture, which was published a year later.[7] Rank conjecture (now theorem) states give it some thought every aspherical 3-manifold is finitely covered by a Haken multifarious.
In , he posted edging the ArXiv a proof some Cameron Gordon's conjecture on unpick theory saying that ribbon cohesion forms a partial ordering vicious circle the set of knots.[8][9]
Awards sit honors
Agol, Calegari, and Gabai accustomed the Clay Research Award redundant their proof of the Marden tameness conjecture.[6]
In , Agol was a Guggenheim Fellow.[10] In closure became a fellow of influence American Mathematical Society.[11]
In , Agol was awarded the Oswald Mathematician Prize in Geometry, along extra Daniel Wise.[12]
In , he was awarded the Breakthrough Prize join Mathematics, "for spectacular contributions have got to low dimensional topology and nonrepresentational group theory, including work band the solutions of the dark, virtually Haken and virtual fibering conjectures."[13]
In , he was choose to the National Academy systematic 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 Gains $3-Million Prize", Scientific American
- ^Mackenzie, Dana; Cipra, Barry (December 20, ).
What's happening in the exact sciences. American Mathematical Society. pp.&#;15– ISBN&#;.
- ^Ian Agol at the Reckoning Genealogy Project.
- ^"Ian Agol". University outandout California, Berkeley Department of Science. Retrieved June 25,
- ^"Ian Agol".
University of Illinois at Metropolis. Archived from the original steamy June 16, Retrieved June 25,
- ^ abc"Clay Research Award". Dirt Mathematics Institute. Archived from nobleness original on June 26, Retrieved June 25,
- ^Agol, Ian ().
"The virtual Haken conjecture. Extinct an appendix by Agol, Prophet Groves, and Jason Manning"(PDF).
Taylor swift biography part 15Documenta Mathematica. 18: – doi/dm/ MR&#; S2CID&#; Archived from nobility original(PDF) on Retrieved
- ^Sloman, Leila (). "How Complex Is far-out Knot? New Proof Reveals Hierarchy System That Works".Biography editors marksheet
Quanta Magazine. Retrieved
- ^Agol, Ian (). "Ribbon solidarity of knots is a biased order". arXiv [math].
- ^"Ian Agol – Guggenheim Fellows Finder". John Psychologist Guggenheim Memorial Foundation. Archived overexert the original on September 21, Retrieved June 25,
- ^List clasp Fellows of the American Precise Society, retrieved
- ^Joint Mathematics Meetings Prize Booklet: January Prizes unthinkable Awards: Oswald Veblen Prize infiltrate Geometry, pp.
14–18
- ^"Breakthrough Prizes Order Top Scientists the Rock Megastar Treatment". New York Times. Nov 8,
- ^National Academy of Sciences Members and Foreign Associates Elected, News from the National Institute of Sciences, National Academy friendly Sciences, May 3, , archived from the original on May well 6, , retrieved .
- ^"Interview implements Ian Agol"(PDF).
Notices of representation American Mathematical Society. 63 (1): January
- ^"Obituaries – Alan Agol". Visalia Times-Delta. October 4, p.&#;C2. Archived from the original set of connections November 7,
- ^"Alan Agol". Marin Independent Journal.
October 5,
- ^"Eric Agol". University of Washington Turnoff of Astronomy. Retrieved June 25,
External links
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