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.

[1][3] Yu's research interests include noncommutative geometry, higher index theory of elliptic operators, K-theory, and geometric group theory.

[7] In his work on the Novikov conjecture, he developed controlled operator K-theory.

[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.