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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Ian Agol ： ウィキペディア英語版 Ian Agol Ian Agol (born May 13, 1970) is an American mathematician who deals primarily with the topology of three-dimensional manifolds. Agol obtained his Ph.D. in 1998 from the University of California, San Diego with Michael Freedman (''Topology of Hyperbolic 3-Manifolds'').〔.〕 He is a professor at the University of California, Berkeley〔(【引用サイトリンク】title=Ian Agol )〕 and a former professor at the University of Illinois at Chicago.〔(【引用サイトリンク】title=Ian Agol )〕 Ian Agol, Danny Calegari and David Gabai received the 2009 Clay Research Award for the proof of the Marden tameness conjecture, a conjecture of Albert Marden.〔(【引用サイトリンク】title=Clay Research Award )〕 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 proven in 2004 by Agol, and independently by Calegari with Gabai, and implies the Ahlfors measure conjecture.〔 In 2005 he was a Guggenheim Fellow.〔(【引用サイトリンク】title=Ian Agol – Guggenheim Fellows Finder )〕 In 2012 he became a fellow of the American Mathematical Society.〔(List of Fellows of the American Mathematical Society ), retrieved 2012-11-03.〕 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. In 2013, Agol was awarded the Oswald Veblen Prize in Geometry, along with Daniel Wise.〔(Joint Mathematics Meetings Prize Booklet: January 2013 Prizes and Awards: Oswald Veblen Prize in Geometry, pp. 14–18 )〕 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."〔(【引用サイトリンク】title=Breakthrough Prizes Give Top Scientists the Rock Star Treatment )〕 His twin brother, Eric Agol, is an astronomy professor at the University of Washington in Seattle.〔(【引用サイトリンク】title=Eric Agol )〕 ==References== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Ian Agol」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.