Antoine Song

I'm a fourth year graduate student at Princeton University. My advisor is Fernando Codá Marques.
My office is Fine Hall 410.

Email: aysong [at] math.princeton.edu

Research interests: Differential Geometry, Geometric Partial Differential Equations

A dichotomy for minimal hypersurfaces in manifolds thick at infinity, arXiv:1902.06767
Existence of infinitely many minimal hypersurfaces in closed manifolds, submitted, arXiv:1806.08816
Equidistribution of minimal hypersurfaces for generic metrics (with F. C. Marques and A. Neves), to appear in Invent. Math., arXiv:1712.06238
On the existence of minimal Heegaard surfaces (with D. Ketover and Y. Liokumovich), in preparation
Local min-max surfaces and strongly irreducible minimal Heegaard splittings arXiv:1706.01037
Appearance of stable minimal spheres along the Ricci flow in positive scalar curvature, to appear in Geom. Topol., arXiv:1611.09747
Embeddedness of least area minimal hypersurfaces, J. Differential Geom., vol. 110, no. 2, pp. 345-377 (2018), arXiv:1511.02844
A maximum principle for self-shrinkers and some consequences arXiv:1412.4755