Guoliang Yu is a
Chinese American mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
. 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
Vanderbilt University (informally Vandy or VU) is a private university, private research university in Nashville, Tennessee, United States. Founded in 1873, it was named in honor of shipping and railroad magnate Cornelius Vanderbilt, who provide ...
(2000–2012), and a variety of visiting positions. He currently holds the Powell Chair in Mathematics
and was appointed University Distinguished Professor in 2018 at
Texas A&M University. He is a fellow of the
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
.
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
The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study.
History
The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as t ...
, Vol. 147, 2 (1998) 325-355. 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.
Books
*''Large Scale Geometry'' (with Piotr Nowak), EMS Textbooks in Mathematics. European Mathematical Society (EMS), Zürich, 2012. xiv+189 pp. .
*``Higher Index Theory" (with Rufus Willett), Cambridge University Press. 2020. xi+582 pp. .
*``The Universal Coefficient Theorem for C*-Algebras with Finite Complexity" (with Rufus Willett), Memoirs of the European Mathematical Society, European Mathematical Society Publishing House, 2024. viii+100pp, .
* ``Dynamical Complexity and Controlled Operator K-theory" (with Erik Guentner and Rufus Willett). Astérisque, No. 451, Société Mathématique de France, 2024. 89 pp. .
References
20th-century American mathematicians
Living people
Chinese mathematicians
Stony Brook University alumni
Fellows of the American Mathematical Society
American people of Chinese descent
21st-century American mathematicians
1963 births
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