- In Fall 2024, I will be entering the job market for a tenure-track position.
- I am an L.E. Dickson Instructor in the Department of Mathematics at the University of Chicago.
- I was a graduate student in the Department of Mathematics at Princeton University, supervised by Fernando Codá Marques

- yangyangli [at] uchicago.edu

- Differential Geometry
- PDEs

*Existence of Infinitely Many Minimal Hypersurfaces in Higher-dimensional Closed Manifolds with Generic Metrics*,**Journal of Differential Geometry**124 (2) 381 - 395, June 2023 , arXiv:1901.08440 [Jan 2019]*On the Existence of Minimal Hypersurfaces with Arbitrarily Large Area and Morse Index*,**Geometry & Topology**26 (6) 2713 - 2729, 2022 , arXiv:2001.07689 [Jan 2020]*An Improved Morse Index Bound of Min-Max Minimal Hypersurfaces*,**Calculus of Variations and Partial Differential Equations**62, 179 (2023), arXiv:2007.14506 [Jul 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),**Transactions of the American Mathematical Society**377 (2024), 5993-6020, arXiv:2109.12725 [Sep 2021]*Minimal hypersurfaces for generic metrics in dimension 8*(joint with Zhihan Wang), arXiv:2205.01047 [May 2022]*A strong multiplicity one theorem in min-max theory*(joint with Adrian C. Chu), arXiv:2309.07741 [Sep 2023]*Existence of 5 minimal tori in 3-spheres of positive Ricci curvature*(joint with Adrian C. Chu), arXiv:2409.09315 [Sep 2024] (A summary of questions and results regarding enumeration of minimal submanifolds in spheres can be found Here)
*Existence and regularity of min-max anisotropic minimal hypersurfaces*(joint with Guido De Philippis and Antonio De Rosa), arXiv:2409.15232 [Sep 2024]

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

- International geometric analysis conference in Milan,
**Milan**:*TBD*[June 2025] - Analysis & PDE Seminar,
**John Hopkins University**:*TBD*[Nov 2024] - Workshop on Minimal Surfaces and Mean Curvature Flow 2024,
**BICMR**:*Existence and Regularity of Anisotropic Minimal Hypersurfaces*[July 2024] - CHallenge in ANalysis and GEometry,
**ETH Zurich**:*Existence and Regularity of Anisotropic Minimal Hypersurfaces*[June 2024] - Geometric Analysis Seminar,
**MIT**:*Existence and Regularity of Anisotropic Minimal Hypersurfaces*[Mar 2024] - Geometric Analysis and Topology Seminar,
**NYU Courant**:*Existence and Regularity of Anisotropic Minimal Hypersurfaces*[Mar 2024] - MAGEC 2024,
**Caltech**:*Existence and Regularity of Anisotropic Minimal Hypersurfaces*[Mar 2024] - Differential Geometry and Geometric Analysis seminar,
**Princeton University**:*Existence and Regularity of Anisotropic Minimal Hypersurfaces*[Dec 2023] - Geometric Analysis seminar,
**BICMR**:*Min-max widths of the unit 3-sphere and a strong multiplicity one theorem*[Nov 2023] - Geometric Analysis seminar,
**UTK**:*Min-max widths of the unit 3-sphere and a strong multiplicity one theorem*[Oct 2023] - BIRS-UBC-O Workshop,
**University of British Columbia**:*Existence and regularity of anisotropic minimal surfaces in Riemannian 3-manifolds*[Aug 2023] - Math Department Colloquium,
**Tsinghua University**:*The geometric structure of min-max minimal hypersurfaces*[Jun 2023] - Hua Loo-Keng Lecture Series,
**Chinese Academy of Sciences**[Jun 2023] - "Minimal surfaces in symmetric spaces" workshop,
**BIRS-IMAG**:*Existence and reguarity of anisotropic minimal surfaces*[May 2023] - Differential Geometry seminar,
**NCTS**:*Area ratio bounds and the existence of anisotropic minimal surfaces*[Mar 2023] - PDE and Differential Geometry seminar,
**UConn**:*Area ratio bounds and the existence of anisotropic minimal surfaces*[Mar 2023] - Geometry and Topology seminar,
**University of Toronto**:*Area ratio bounds and the existence of anisotropic minimal surfaces*[Nov 2022] - Joint Geometric Analysis Seminar,
**CUHK**:*Minimal hypersurfaces in a generic 8-dimensional closed manifold*[Mar 2022] - Geometric Analysis and Application seminar,
**Yale University**:*Minimal hypersurfaces in a generic 8-dimensional closed manifold*[Feb 2022] - Geometry and Topology seminar,
**University of Toronto**:*Minimal hypersurfaces in a generic 8-dimensional closed manifold*[Nov 2021] - Geometric Analysis Seminar,
**CUNY**:*Minimal hypersurfaces in a generic 8-dimensional closed manifold*[Oct 2021] - Analysis and Geometric Analysis Seminar,
**Cornell University**:*Minimal hypersurfaces in a generic 8-dimensional closed manifold*[Oct 2021] - Geometric Analysis Session,
**CMS 75th+1 Anniversary Summer Meeting**:*Generic Regularity of Minimal Hypersurfaces in Dimension 8*[Jun 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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