Publications & Preprints

1. On Mean Curvature Flow Translators with Prescribed Ends. (joint with Ao Sun) arxiv.org/abs/2301.08224

2. Minimal Hypersurfaces for Generic Metrics in Dimension 8. (joint with Yangyang Li) arxiv.org/abs/2205.01047

3. Mean Convex Smoothing of Mean Convex Cones. GAFA (2024) arxiv.org/abs/2202.07851 

4. Generic Regularity of Minimal Hypersurfaces in Dimension 8. (joint with Yangyang Li) arxiv.org/abs/2012.05401 

5. Deformations of Singular Minimal Hypersurfaces I, Isolated Singularities. arxiv.org/abs/2011.00548 

6. Min-max Minimal Hypersurfaces with Obstacle. CVPDE 61 (2022) arxiv.org/abs/2010.13305 

Invited Talks

• Geometric Analysis seminar, University of Notre Dame: Generic Regularity for Area-Minimizers in Dimension 11. [April 2024]

• Geometric Analysis seminar, University of Tennessee, Knoxville: Generic Regularity for Area-Minimizers in Dimension 11. [March 2024]

• Geometric Analysis seminar, Northwestern University: Generic Regularity for Area-Minimizers in Dimension 11. [Feb 2024]

• PDE Geometric Analysis seminar, University of Wisconsin – Madison: Translating Mean Curvature Flow with Simple Ends. [April 2023]

• Geometric Analysis Seminar, BICMR: Translating Mean Curvature Flow with Prescribed End. [March 2023]

• Differential Geometry Seminar, UC San Diego: Translating Mean Curvature Flow with Prescribed End. [March 2023] 

• Special Session on Recent Developments in Geometric Measure Theory, Joint Mathematics Meetings 2023: Generic Regularity for All Minimal Hypersurfaces in 8-Manifolds. [Jan 2023]

• Geometric Analysis & Applications Seminar, Yale University: Translating Mean Curvature Flow with Simple Ends. [Dec 2022]

• Geometric PDE Seminar, AMSS: Generic Regularity for All Minimal Hypersurfaces in 8-Manifolds. [Dec 2022]

• Geometry Seminar, Stanford University: Translating Mean Curvature Flow with Simple Ends. [Nov 2022]

• Analysis & PDE Seminar, JHU: Translating Mean Curvature Flow with Simple Ends. [Nov 2022]

• Geometric Analysis Seminar, Rutgers University: Generic Regularity for All Minimal Hypersurfaces in 8-Manifolds. [Oct 2022]

• Analysis and Geometric Analysis Seminar, Cornell University: Translating Mean Curvature Flow with Simple Ends. [Oct 2022]

• Geometric Analysis Seminar, CUNY: Translating Mean Curvature Flow with Simple Ends. [Oct 2022]

• Geometric Analysis Seminar, University of Chicago: Generic Regularity for All Minimal Hypersurfaces in 8-Manifolds. [April 2022]

• geometric analysis and topology seminar, Courant Institute, NYU: Generic Regularity for All Minimal Hypersurfaces in 8-Manifolds. [Feb 2022]

• PDE Webinar: Generic Regularity for Minimal Hypersurfaces in 8-Manifolds. [July 2021]

• SCMS Seminar, Shanghai Center for Mathematical Science: Generic Regularity for Minimal Hypersurfaces in 8-Manifolds. [March 2021]

• Differential Geometry Seminar, UC Berkeley: Generic Regularity for Minimal Hypersurfaces in 8-Manifolds. [Feb 2021]

• Geometry Seminar, Stanford University: Generic Regularity for Minimal Hypersurfaces in 8-Manifolds. [Jan 2021]

• Special Session on Variational Aspects of Geometric Analysis, AMS Meeting: Deformations of Singular Minimal Hypersurfaces. [Oct 2020]

• Geometric Analysis Seminar, Cornell University: Deformations of Singular Minimal Hypersurfaces.  [Oct 2020]

Miscellaneous

• I was an organizer of "Harmonic map reading seminar" in 2022 summer.