Guoliang Yu

Guoliang Yu is a Chinese American mathematician. After receiving his Ph.D from SUNY at Stony Brook in 1991under 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 Mathematicsand was appointed University Distinguished Professor in 2018at Texas A&M University. He is a fellow 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 Baum–Connes conjecture on K-theory of group C*-algebras, and the stable Borel conjecture on rigidity of manifolds. 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 A and Yu's localization algebra.

Yu has delivered invited addresses at the American Mathematical Society meeting in 1999, and at the International Congress of Mathematicians in Madrid in 2006. He was a plenary speaker at the Topology Festivalin 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.

• 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.