- 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

- Differential Geometry
- PDEs

*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]

*Introduction to Almgren-Pitts Min-max Theory*(Notes for a 5-day minicourse given at Tsinghua University) Notes [July 2019]

- 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 ↩︎