I'm a fourth year graduate student at Princeton University.
My advisor is Fernando Codá Marques.
Email: aysong [at] math.princeton.edu
My office is Fine Hall 410.
Differential Geometry, Geometric Partial Differential Equations
Existence of infinitely many minimal hypersurfaces in closed manifolds, submitted.
Equidistribution of minimal hypersurfaces for generic metrics (with F. C. Marques and A. Neves), submitted.
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.
Appearance of stable minimal spheres along the Ricci flow in positive scalar curvature, submitted.
Embeddedness of least area minimal hypersurfaces, J. Differential Geom., vol. 110, no. 2, pp. 345-377 (2018).
A maximum principle for self-shrinkers and some consequences.