| 词条 | Ian Agol |
| 释义 |
| name = Ian Agol | image = Ian Agol, Aarhus 2012.jpg | image_size = 250px | alt = | caption = Ian Agol at Aarhus University, August 2012 | birth_date = {{Birth date and age|1970|05|13|mf=y}} | birth_place = Los Angeles, California, U.S. | death_date = | death_place = | residence = | nationality = American | fields = Mathematics | workplaces = University of California, Berkeley | alma_mater = California Institute of Technology University of California, San Diego | doctoral_advisor = Michael Freedman | doctoral_students = | 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) }}Ian Agol (born May 13, 1970) is an American mathematician who deals primarily with the topology of three-dimensional manifolds.[2] Education and careerAgol obtained his Ph.D. in 1998 from the University of California, San Diego with Michael Freedman (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] ContributionsIn 2004, Agol proved the Marden tameness conjecture, a conjecture of Albert Marden (de).[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. It states that every aspherical 3-manifold is finitely covered by a Haken manifold. Awards and honorsAgol, 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.[7] In 2012 he became a fellow of the American Mathematical Society.[8] In 2013, Agol was awarded the Oswald Veblen Prize in Geometry, along with Daniel Wise.[9] 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."[10] In 2016 he was elected to the National Academy of Sciences.[11] PersonalHis twin brother, {{ill|Eric Agol|de}},[12][13] is an astronomy professor at the University of Washington in Seattle.[14] References1. ^{{citation|url=http://www.scientificamerican.com/article/by-solving-the-mysteries-of-shape-shifting-spaces-mathematician-wins-3-million-prize/|title=By Solving the Mysteries of Shape-Shifting Spaces, Mathematician Wins $3-Million Prize|magazine=Scientific American|date=8 November 2015|first=Evelyn|last=Lamb}} 2. ^{{cite book|last1=Mackenzie|first1=Dana|last2=Cipra|author2-link=Barry Arthur Cipra|first2=Barry|title=What's happening in the mathematical sciences|url=https://books.google.com/books?id=e0vzZak6jwAC&pg=PA16|date=December 20, 2006|publisher=American Mathematical Society|isbn=978-0-8218-3585-2|pages=15–16}} 3. ^{{mathgenealogy|id=39962}}. 4. ^{{cite web|url=http://math.berkeley.edu/people/faculty/ian-agol|title=Ian Agol|publisher=University of California, Berkeley Department of Mathematics|accessdate=June 25, 2011}} 5. ^{{cite web|url=http://www.math.uic.edu/~agol/|title=Ian Agol|publisher=University of Illinois at Chicago|accessdate=June 25, 2011}} 6. ^1 2 {{cite web|url=http://www.claymath.org/research_award/ |title=Clay Research Award |publisher=Clay Mathematics Institute |accessdate=June 25, 2011 |deadurl=yes |archiveurl=https://web.archive.org/web/20110626122056/http://www.claymath.org/research_award/ |archivedate=June 26, 2011 |df= }} 7. ^{{cite web|url=http://www.gf.org/fellows/109-ian-agol|title=Ian Agol – Guggenheim Fellows Finder|publisher=John Simon Guggenheim Memorial Foundation|accessdate=June 25, 2011}} 8. ^List of Fellows of the American Mathematical Society, retrieved 2012-11-03. 9. ^Joint Mathematics Meetings Prize Booklet: January 2013 Prizes and Awards: Oswald Veblen Prize in Geometry, pp. 14–18 10. ^{{cite web|url=http://nyti.ms/1PwMoq3|title=Breakthrough Prizes Give Top Scientists the Rock Star Treatment|newspaper=New York Times|date= Nov 8, 2015}} 11. ^{{citation|url=http://www.nasonline.org/news-and-multimedia/news/may-3-2016-NAS-Election.html|title=National Academy of Sciences Members and Foreign Associates Elected|department=News from the National Academy of Sciences|publisher=National Academy of Sciences|date=May 3, 2016|accessdate=2016-05-14}}. 12. ^{{cite news|url=https://pqasb.pqarchiver.com/visaliatimesdelta/access/1773118711.html?FMT=CITE&FMTS=CITE:FT&type=current&date=Oct+04%2C+2005&author=&pub=Visalia+Times+-+Delta&desc=OBITUARIES|title=Obituaries – Alan Agol|newspaper=Visalia Times-Delta|date=October 4, 2005|page=C2}} 13. ^{{cite news|url=http://www.legacy.com/obituaries/marinij/obituary.aspx?n=alan-agol&pid=15297933|title=Alan Agol|newspaper=Marin Independent Journal|date=October 5, 2005}} 14. ^{{cite web|url=http://www.astro.washington.edu/users/agol/|title=Eric Agol|publisher=University of Washington Department of Astronomy|accessdate=June 25, 2011}} External links
15 : 20th-century American mathematicians|21st-century American mathematicians|Topologists|University of California, San Diego alumni|University of Illinois at Chicago faculty|University of California, Berkeley faculty|Living people|1970 births|Clay Research Award recipients|Fellows of the American Mathematical Society|Guggenheim Fellows|Members of the United States National Academy of Sciences|People from Hollywood, Los Angeles|Mathematicians from California|Breakthrough Prize winners |
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