Antoine Song (born 18 July 1992 in Paris) is a French[1] mathematician whose research concerns differential geometry. In 2018, he proved Yau's conjecture. He is a Clay Research Fellow (2019–2024).[2] He obtained his Ph.D. from Princeton University in 2019 under the supervision of Fernando Codá Marques.[3] He is an assistant professor of mathematics at Caltech.[4] He is a Sloan Fellow.[5][6] In 2023, together with Conghan Dong, he proved a conjecture from 2001 by Huisken and Ilmanen on the mathematics of general relativity, about the curvature in spaces with very little mass.[7]
He delivered the 2021–2022 Peccot Lectures (in 2022, due to the coronavirus pandemic).[8]