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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
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in 2007. He is an editor of the
Journal of Noncommutative Geometry, the Annals of K-Theory, the Journal of Topology and Analysis, and the Kyoto Journal of Mathematics.
130:(2000–2012), and a variety of visiting positions. He currently holds the Powell Chair in Mathematics and was appointed University Distinguished Professor in 2018 at
316:(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.
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J. Tu, Remarks on Yu's "property A" for discrete metric spaces and groups. Bull. Soc. Math. France 129 (2001), no. 1, 115–139.
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307:(with I. Mineyev) The Baum-Connes conjecture for hyperbolic groups, Inventiones Mathematicae. Vol. 149, (2002) 97-122.
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176:(with Piotr Nowak), EMS Textbooks in Mathematics. European Mathematical Society (EMS), ZĂĽrich, 2012. xiv+189 pp.
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on K-theory of group C*-algebras, and the stable Borel conjecture on rigidity of manifolds. In his work on the
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Y. Qiao and J. Roe, On the localization algebra of
Guoliang Yu. Forum Math. 22 (2010), no. 4, 657–665
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Yu has delivered invited addresses at the
American Mathematical Society meeting in 1999, and at the
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The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into
Hilbert space.
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The
Novikov conjecture for groups with finite asymptotic dimension.
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International
Congress of Mathematicians in Madrid in 2006
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Webmaster, College of
Science, Texas A&M University.
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Guoliang Yu appointed
University Distinguished Professor
262:"List of Fellows of the American Mathematical Society"
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101:Guoliang Yu
68:Mathematics
38:Nationality
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384:2015-09-11
359:2015-09-06
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