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Guoliang Yu is a Chinese American mathematician. After receiving his Ph.D from SUNY at Stony Brook in 1991 under the direction of Ronald G. Douglas,〔(【引用サイトリンク】title=Yu Named to Powell Chair in Mathematics )〕 Yu has held positions at Mathematical Sciences Research Institute (1991-1992), University of Colorado at Boulder (1992-2000), Vanderbilt University (2000-2012), and various visiting positions at prestigious institutions worldwide.〔 He currently holds the Powell Chair in Mathematics at Texas A&M University and is a fellow of the American Mathematical Society.〔〔(【引用サイトリンク】title=List of Fellows of the American Mathematical Society )〕 Yu's research interests include noncommutative geometry, higher index theory of elliptic operators, K-theory, and geometric group theory. He is best known for his fundamental contributions to the Novikov conjecture on homotopy invariants of higher signatures,〔The Novikov conjecture for groups with finite asymptotic dimension. Annals of Mathematics, Vol. 147, 2 (1998) 325-355.〕〔The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space. Inventiones Mathematicae, Vol. 139, 1 (2000) 201-240.〕 the Baum-Connes conjecture on K-theory of group C *-algebras,〔(with I. Mineyev) The Baum-Connes conjecture for hyperbolic groups, Inventiones Mathematicae. Vol. 149, (2002) 97-122.〕 and the stable Borel conjecture on rigidity of manifolds.〔(with E. Guentner and R. Tessera) A notion of geometric complexity and its application to topological rigidity, Inventiones Mathematicae, Vol. 189, 2 (2012) 315-357.〕 In his work on the Novikov conjecture, he developed controlled operator K-theory.〔 In the mathematical literature, several concepts are named after him such as Yu's property A,〔J. Tu, Remarks on Yu's "property A" for discrete metric spaces and groups. Bull. Soc. Math. France 129 (2001), no. 1, 115–139.〕 and Yu's localization algebra.〔Y. Qiao and J. Roe, On the localization algebra of Guoliang Yu. Forum Math. 22 (2010), no. 4, 657–665〕 Yu has delivered invited addresses at the American Mathematical Society meeting in 1999, and at the International Congress of Mathematicians in Madrid in 2006.〔(【引用サイトリンク】title=International Mathematical Union (IMU) )〕 He was a plenary speaker at the Topology Festival 〔http://www.math.cornell.edu/~festival/archive/past_speakers.php〕 in 2002 and the Geometry Festival in 2007. He is an editor of Journal of Noncommutative Geometry, Annals of K-Theory, Journal of Topology and Analysis, and Kyoto Journal of Mathematics. ==Books== *''Large Scale Geometry'' (with Piotr Nowak), EMS Textbooks in Mathematics. European Mathematical Society (EMS), Zürich, 2012. xiv+189 pp. ISBN 978-3-03719-112-5. 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「Guoliang Yu」の詳細全文を読む スポンサード リンク
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