Antoine Song
Antoine Song
Professor of Mathematics
B.S., Pierre and Marie Curie University, 2014; M.S., 2015; Ph.D., Princeton University, 2019. Assistant Professor, Caltech, 2022-25; Professor, 2025-.
Research Interests: Differential Geometry, Geometric Analysis
Overview
Antoine Song is a professor of Mathematics at Caltech and a Sloan research fellow. His research interests lie broadly in Differential Geometry, Geometric Analysis, and Metric Geometry. Recently, he has been exploring geometric problems in high-dimensional settings—for example, understanding the shape of sums of large sets and the behavior of minimal surfaces in high dimensions.
He serves as an editor for Annales scientifiques de l'Ecole normale supérieure.
Selected Awards
- Frontier of Science Award, 2024
- Sloan Fellowship, 2024
Selected Awards
- Frontier of Science Award, 2024
- Sloan Fellowship, 2024
Courses
Ma 1 abc. Calculus of One and Several Variables and Linear Algebra.
9 units (4-0-5); first, second, third terms, 2026-27.
Prerequisites: high-school algebra, trigonometry, and calculus.
Special section of Ma 1 a, 12 units (5-0-7). Review of calculus. Complex numbers, Taylor polynomials, infinite series. Comprehensive presentation of linear algebra. Derivatives of vector functions, multiple integrals, line and path integrals, theorems of Green and Stokes. Ma 1 b, c is divided into two tracks: analytic and practical. Students will be given information helping them to choose a track at the end of the fall term. There will be a special section or sections of Ma 1 a for those students who, because of their background, require more calculus than is provided in the regular Ma 1 a sequence.
Instructors: Ni, Gherman, Flach, Song
Instructors: Ni, Gherman, Flach, Song