Guoliang Yu
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,[1] Yu spent time at the Mathematical Sciences Research Institute (1991-1992), the University of Colorado at Boulder (1992-2000), Vanderbilt University (2000-2012), and a variety of visiting positions.[1] He currently holds the Powell Chair in Mathematics at Texas A&M University. He is a fellow of the American Mathematical Society.[1][2]
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,[3][4] the Baum-Connes conjecture on K-theory of group C*-algebras,[5] and the stable Borel conjecture on rigidity of manifolds.[6] In his work on the Novikov conjecture, he developed controlled operator K-theory.[3] In the mathematical literature, several concepts are named after him, including Yu's property A[7] and Yu's localization algebra.[8]
Yu has delivered invited addresses at the American Mathematical Society meeting in 1999, and at the International Congress of Mathematicians in Madrid in 2006.[9] He was a plenary speaker at the Topology Festival [10] in 2002 and the Geometry Festival 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.
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.
References
- ^ a b c Webmaster, College of Science, Texas A&M University. "Yu Named to Powell Chair in Mathematics". Texas A&M Science.
{{cite web}}: CS1 maint: multiple names: authors list (link) - ^ "List of Fellows of the American Mathematical Society". American Mathematical Society.
- ^ a b 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.
- ^ (with I. Mineyev) The Baum-Connes conjecture for hyperbolic groups, Inventiones Mathematicae. Vol. 149, (2002) 97-122.
- ^ (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.
- ^ J. Tu, Remarks on Yu's "property A" for discrete metric spaces and groups. Bull. Soc. Math. France 129 (2001), no. 1, 115–139.
- ^ Y. Qiao and J. Roe, On the localization algebra of Guoliang Yu. Forum Math. 22 (2010), no. 4, 657–665
- ^ "International Mathematical Union (IMU)". mathunion.org.
- ^ http://www.math.cornell.edu/~festival/archive/past_speakers.php