Guoliang Yu

{{short description|Chinese American mathematician}}

{{Infobox scientist

| name = Guoliang Yu

|image = Guoliang Yu.jpg

| nationality =Chinese American

| fields = Mathematics

| workplaces = University of Colorado Boulder
Mathematical Sciences Research Institute
Vanderbilt University
Texas A&M University

| alma_mater = Stony Brook University

}}

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, 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. He currently holds the Powell Chair in Mathematics {{cite web|url=http://www.science.tamu.edu/news/story.php?story_ID=984#.VeycCc5SaS0|title=Yu Named to Powell Chair in Mathematics|author=Webmaster, College of Science, Texas A&M University|work=Texas A&M Science|access-date=2015-09-06|archive-url=https://web.archive.org/web/20171107021733/http://www.science.tamu.edu/news/story.php?story_ID=984#.VeycCc5SaS0|archive-date=2017-11-07|url-status=dead}}

and was appointed University Distinguished Professor in 2018http://www.science.tamu.edu/news/story.php?story_ID=1956#.Wrw10a3MxPN|title=Mathematician Guoliang Yu appointed University Distinguished Professor at Texas A&M University. He is a fellow of the American Mathematical Society.{{cite web|url=http://www.ams.org/profession/fellows-list|title=List of Fellows of the American Mathematical Society|work=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 invariance 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, including Yu's property AJ. 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.{{cite web|url=http://www.mathunion.org/db/ICM/Speakers/SortedByCongress.php|title=International Mathematical Union (IMU)|work=mathunion.org|access-date=2015-09-06|archive-date=2017-11-08|archive-url=https://web.archive.org/web/20171108012153/http://www.mathunion.org/db/ICM/Speakers/SortedByCongress.php|url-status=dead}} He was a plenary speaker at the Topology Festival {{Cite web |url=http://www.math.cornell.edu/~festival/archive/past_speakers.php |title=Cornell Topology Festival |access-date=2015-09-11 |archive-date=2016-03-04 |archive-url=https://web.archive.org/web/20160304055646/http://www.math.cornell.edu/~festival/archive/past_speakers.php |url-status=dead }} 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.