Yangyang Li
About
- I am currently a fifth-year PhD student at the Department of Mathematics, Princeton University
- My advisor is Fernando Codá Marques
- yl15 [at] math.princeton.edu
Research Interests
- Differential Geometry
- PDEs
Curriculum Vitae1
Papers
- Existence of Infinitely Many Minimal Hypersurfaces in Higher-dimensional Closed Manifolds with Generic Metrics, Accepted by Journal of Differential Geometry, arXiv:1901.08440 [Jan 2019]
- On the Existence of Minimal Hypersurfaces with Arbitrarily Large Area and Morse Index, Accepted by Geometry & Topology, arXiv:2001.07689 [Jan 2020]
- An Improved Morse Index Bound of Min-Max Minimal Hypersurfaces, arXiv:2007.14506 [July 2020]
- Generic Regularity of Minimal Hypersurfaces in Dimension 8 (joint with Zhihan Wang), arXiv:2012.05401 [Dec 2020]
- Equivariant manifolds with positive scalar curvature (joint with Tsz-Kiu Aaron Chow), arXiv:2109.12725 [Sept 2021]
Lecture Notes
- Introduction to Almgren-Pitts Min-max Theory (Notes for a 5-day minicourse given at Tsinghua University) Notes [July 2019]
Talks
- Geometry and Topology seminar, University of Toronto : TBA [Nov 2021]
- Geometric Analysis Seminar, CUNY: TBA [Oct 2021]
- Analysis and Geometric Analysis Seminar, Cornell University: TBA [Oct 2021]
- Geometric Analysis Session, CMS 75th+1 Anniversary Summer Meeting: Generic Regularity of Minimal Hypersurfaces in Dimension 8 [June 2021]
- Geometric Analysis Seminar, University of Chicago: Generic Regularity of Minimal Hypersurfaces in Dimension 8 [May 2021] (Slides)
- Differential Geometry Seminar, UC San Diego: Generic Regularity of Minimal Hypersurfaces in Dimension 8 [Apr 2021]
- The 1st Geometric Analysis Festival: Generic Regularity of Minimal Hypersurfaces in Dimension 8 [Feb 2021] (Video)
- Analysis and Partial Differential Equations Seminar, John Hopkins University: Generic Regularity of Minimal Hypersurfaces in Dimension 8 [Nov 2020]
- Special Session on Variational Aspects of Geometric Analysis, AMS Meeting: Min-max minimal hypersurfaces in higher dimensions [Oct 2020]
- Geometry Seminar, Stanford University: Existence of minimal hypersurfaces with arbitrarily large area and Morse index [May 2020]
- Differential Geometry Seminar, UC Santa Barbra: Existence of minimal hypersurfaces with arbitrarily large area and Morse index [Mar 2020]
- Geometric Analysis Learning Seminar, Princeton University: Minimal Hypersurfaces for Generic Metrics and Yau's Conjecture [Mar 2019]
- Graduate Student Seminar, Princeton University: Positive Mass Theorem [Oct 2017]
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Last Updated: Oct 2, 2021 ↩︎