Name Guoliang Yu | Books Large Scale Geometry | |
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Guoliang yu dimension complexity and k theory
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 at Texas A&M University. He is a fellow of the American Mathematical Society.
Contents
- Guoliang yu dimension complexity and k theory
- Guoliang yu quantitative operator k theory and its applications
- Books
- References
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 Festival 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.