Guoliang Yu

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Guoliang Yu
NationalityChinese American
Alma materStony Brook University
Scientific career
FieldsMathematics
InstitutionsUniversity of Colorado Boulder
Mathematical Sciences Research Institute
Vanderbilt University
Texas A&M 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 [1] and was appointed University Distinguished Professor in 2018[2] at Texas A&M University. He is a fellow of the American Mathematical Society.[1][3]

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 homotropy invariants of higher signatures,[4][5] the Baum–Connes conjecture on K-theory of group C*-algebras,[6] and the stable Borel conjecture on rigidity of manifolds.[7] In his work on the Novikov conjecture, he developed controlled operator K-theory.[4] In the mathematical literature, several concepts are named after him, including Yu's property A[8] and Yu's localization algebra.[9]

Yu has delivered invited addresses at the American Mathematical Society meeting in 1999, and at the International Congress of Mathematicians in Madrid in 2006.[10] He was a plenary speaker at the Topology Festival [11] 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[edit]

  • 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[edit]

  1. ^ a b Webmaster, College of Science, Texas A&M University. "Yu Named to Powell Chair in Mathematics". Texas A&M Science. Archived from the original on 2017-11-07. Retrieved 2015-09-06.{{cite web}}: CS1 maint: multiple names: authors list (link)
  2. ^ http://www.science.tamu.edu/news/story.php?story_ID=1956#.Wrw10a3MxPN%7Ctitle=Mathematician Guoliang Yu appointed University Distinguished Professor
  3. ^ "List of Fellows of the American Mathematical Society". American Mathematical Society.
  4. ^ a b The Novikov conjecture for groups with finite asymptotic dimension. Annals of Mathematics, Vol. 147, 2 (1998) 325-355.
  5. ^ The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space. Inventiones Mathematicae, Vol. 139, 1 (2000) 201-240.
  6. ^ (with I. Mineyev) The Baum-Connes conjecture for hyperbolic groups, Inventiones Mathematicae. Vol. 149, (2002) 97-122.
  7. ^ (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.
  8. ^ J. Tu, Remarks on Yu's "property A" for discrete metric spaces and groups. Bull. Soc. Math. France 129 (2001), no. 1, 115–139.
  9. ^ Y. Qiao and J. Roe, On the localization algebra of Guoliang Yu. Forum Math. 22 (2010), no. 4, 657–665
  10. ^ "International Mathematical Union (IMU)". mathunion.org. Archived from the original on 2017-11-08. Retrieved 2015-09-06.
  11. ^ "Cornell Topology Festival". Archived from the original on 2016-03-04. Retrieved 2015-09-11.


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