Guoliang Yu

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 has held positions at Mathematical Sciences Research Institute (1991-1992), University of Colorado at Boulder (1992-2000), Vanderbilt University (2000-2012), and various visiting positions at prestigious institutions worldwide.[1] He currently holds the Powell Chair in Mathematics at Texas A&M University and 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 such as 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 Journal of Noncommutative Geometry, Annals of K-Theory, Journal of Topology and Analysis, and Kyoto Journal of Mathematics.

Books

References

  1. 1 2 3 Webmaster, College of Science, Texas A&M University. "Yu Named to Powell Chair in Mathematics". Texas A&M Science.
  2. ↑ "List of Fellows of the American Mathematical Society". American Mathematical Society.
  3. 1 2 The Novikov conjecture for groups with finite asymptotic dimension. Annals of Mathematics, Vol. 147, 2 (1998) 325-355.
  4. ↑ The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space. Inventiones Mathematicae, Vol. 139, 1 (2000) 201-240.
  5. ↑ (with I. Mineyev) The Baum-Connes conjecture for hyperbolic groups, Inventiones Mathematicae. Vol. 149, (2002) 97-122.
  6. ↑ (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.
  7. ↑ J. Tu, Remarks on Yu's "property A" for discrete metric spaces and groups. Bull. Soc. Math. France 129 (2001), no. 1, 115–139.
  8. ↑ Y. Qiao and J. Roe, On the localization algebra of Guoliang Yu. Forum Math. 22 (2010), no. 4, 657–665
  9. ↑ "International Mathematical Union (IMU)". mathunion.org.
  10. ↑ http://www.math.cornell.edu/~festival/archive/past_speakers.php
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