André da Silva Graça Arroja Neves (born 1975, Lisbon) is a Portuguese mathematician and a professor at the University of Chicago.

Neves received his Ph.D. in 2005 from Stanford University under the direction of Richard Melvin Schoen.

In the same year, jointly with Ian Agol and Fernando Codá Marques, he solved the Freedman–He–Wang conjecture (Freedman–He–Wang, 1994).

In November 2015 he was awarded a New Horizons in Mathematics Prize[5] in November 2015, "for outstanding contributions to several areas of differential geometry, including work on scalar curvature, geometric flows, and his solution with Codá Marques of the 50-year-old Willmore Conjecture.

"[6] Jointly with Fernando Codá Marques he was awarded the 2016 Oswald Veblen Prize in Geometry.