Research Focus
Geometric Analysis and Calculus of Variations
Publications
1. Generic scarring for minimal hypersurfaces along stable hypersurfaces (with A. Song), Geom. Funct. Anal. (2021), to appear, arXiv:2006.03038.
2. On the Multiplicity One Conjecture in min-max theory, Ann. of Math. (2) 192 (2020), no. 3, 767-820.
3. Existence of hypersurfaces with prescribed mean curvature I - Generic min-max (with J. Zhu), Camb. J. Math. 8 (2020), no. 2, 311-362.
4. Min-max minimal disks with free boundary in Riemannian manifolds, (with L. Lin and A. Sun), Geom. Topol. 24 (2020), no. 1, 471-532.
5. Min-max theory for constant mean curvature hypersurfaces, (with J. Zhu), Invent. Math. 218 (2019), no. 2, 441-490.
6. Min-max theory for free boundary minimal hypersurfaces I: regularity, (with M. Li), J. Differential Geom., to appear, arXiv:1611.02612.
7. Curvature estimates for stable minimal hypersurfaces with free boundary, (with Q. Guang and M. Li), J. Reine Angew. Math. 759 (2020), 245-264.
8. Entropy of closed surfaces and min-max theory, (with D. Ketover), J. Differential Geom. 110 (2018), no. 1, 31-71.
9. Min-max hypersurface in manifold of positive Ricci curvature, J. Differential Geom. 105 (2017), no. 2, 291-343.
10. Min-max minimal hypersurface in (Mn+1, g) with Ricg > 0 and 2 ≤ n ≤ 6, J. Differential Geom. 100 (2015), no. 1, 129-160.
11. Convexity of reduced energy and mass angular momentum inequalities, (with R. Schoen), Ann. Henri Poincaré 14 (2013), no. 7, 1747-1773.
12. On the existence of min-max minimal surfaces of genus g ≥ 2, Commun. Contemp. Math. 19 (2017), no. 4, 1750041, 36 pp.
