Antoine Song (born 18 July 1992 in Paris) is a French[1] mathematician whose research concerns differential geometry.
[2] He obtained his Ph.D. from Princeton University in 2019 under the supervision of Fernando Codá Marques.
[5][6] In 2023, together with Conghan Dong, he proved a conjecture from 2001 by G. Huisken and T. Ilmanen on the mathematics of general relativity, about the curvature in spaces with very little mass.
The first problem in the minimal submanifolds section of Yau's list asks whether any closed three-manifold has infinitely many closed smooth immersed minimal surfaces.
Kei Irie, Fernando Codá Marques, and André Neves solved this problem in the generic case [9] and later Antoine Song proved it in full generality.