University of Minnesota
Twenty-eighth Rivière–Fabes Symposium on Analysis and PDE
How the Fredholm index detects isolated singularities of minimal submanifolds
Four invited speakers; two hour-long lectures.
Talks
Invited seminars, workshops, conference talks, and lecture series in geometric analysis and related fields.
Zhejiang University ·
Min-max Theory for Geodesics and Minimal Surfaces
Lecture notes: TBA
Course description
This minicourse covers min-max theory for geodesics and minimal surfaces. It begins with Birkhoff’s classical min-max construction of a closed geodesic on a Riemannian sphere and its refinement by Lyusternik and Schnirelmann, then explains how these ideas extend through geometric measure theory to the construction of minimal surfaces. The final part discusses enumerative problems for minimal surfaces and their relationship with Poincaré’s three-geodesics conjecture, based on joint work with Adrian Chu and Zhihan Wang.
Tsinghua University ·
2026
-
Geometry Seminar · Michigan State University
Constructing minimal surfaces of prescribed genus in closed Riemannian 3-spheres
-
Courant–Rutgers Geometric Analysis Workshop · Rutgers University
Constructing minimal surfaces of prescribed genus in closed Riemannian 3-spheres
-
Workshop on Connections among Spin Geometry, Minimal Surfaces and Relativity · BIRS–CMI
Unable to attend due to visa issues -
AMS Special Session on Recent Advances in Elliptic PDEs and Their Applications · JMM
Unable to attend due to visa issues
2025
Workshop on Lagrangian and Minimal Surfaces · Shanghai Center for Mathematical Sciences, Fudan University
Constructing minimal surfaces of prescribed genus in closed Riemannian 3-spheres
Geometric Analysis Seminar · Zhejiang University
Non-persistence of strongly isolated singularities and Hsiang’s minimal hyperspheres
Geometric Analysis Seminar · Westlake University
Constructing minimal surfaces of prescribed genus in closed Riemannian 3-spheres
Geometric Analysis Seminar · Institute for Geometry and Physics, USTC
Non-persistence of strongly isolated singularities and Hsiang’s minimal hyperspheres
Geometry/Topology Seminar · Duke University
Constructing minimal surfaces of prescribed genus in closed Riemannian 3-spheres
Special Session on Nonlinear Elliptic PDEs and Geometry · AMS
Non-persistence of strongly isolated singularities and Hsiang’s minimal hyperspheres
Differentialgeometrie im Großen · Oberwolfach
Constructing minimal surfaces of prescribed genus in closed Riemannian 3-spheres with positive Ricci curvature
International Geometric Analysis Conference · Bocconi University
Existence of 5 minimal tori in 3-spheres of positive Ricci curvature
Geometry and Analysis Academic Conference · Tsinghua University
Existence of 5 minimal tori in 3-spheres of positive Ricci curvature
Simons Workshop on Geometric Analysis · NYU Courant
Existence of 5 minimal tori in 3-spheres of positive Ricci curvature
Geometric Analysis Seminar · Lehigh University
Non-persistence of strongly isolated singularities and Hsiang’s minimal hyperspheres
Geometric Analysis Seminar · UIUC
Existence of 5 minimal tori in 3-spheres of positive Ricci curvature
Geometric Analysis Seminar · IMPA
Existence of 5 minimal tori in 3-spheres of positive Ricci curvature
Analysis Seminar · Northwestern University
Non-persistence of strongly isolated singularities and Hsiang’s minimal hyperspheres
2024
Analysis & PDE Seminar · Johns Hopkins University
Existence of 5 minimal tori in 3-spheres of positive Ricci curvature
Workshop on Minimal Surfaces and Mean Curvature Flow · BICMR
Existence and regularity of anisotropic minimal hypersurfaces
CHallenge in ANalysis and GEometry · ETH Zurich
Existence and regularity of anisotropic minimal hypersurfaces
Geometric Analysis Seminar · MIT
Existence and regularity of anisotropic minimal hypersurfaces
Geometric Analysis and Topology Seminar · NYU Courant
Existence and regularity of anisotropic minimal hypersurfaces
MAGEC 2024 · Caltech
Existence and regularity of anisotropic minimal hypersurfaces
Earlier talks 2017–2023
2023
Differential Geometry and Geometric Analysis Seminar · Princeton University
Existence and regularity of anisotropic minimal hypersurfaces
Geometric Analysis Seminar · BICMR
Min-max widths of the unit 3-sphere and a strong multiplicity one theorem
Geometric Analysis Seminar · University of Tennessee, Knoxville
Min-max widths of the unit 3-sphere and a strong multiplicity one theorem
BIRS–UBC–O Workshop · University of British Columbia
Existence and regularity of anisotropic minimal surfaces in Riemannian 3-manifolds
Mathematics Department Colloquium · Tsinghua University
The geometric structure of min-max minimal hypersurfaces
Hua Loo-Keng Lecture Series · Chinese Academy of Sciences
The geometric structure of min-max minimal hypersurfaces
Minimal hypersurfaces in a generic 8-dimensional closed Riemannian manifold
Existence and regularity of anisotropic minimal hypersurfaces
Minimal Surfaces in Symmetric Spaces Workshop · BIRS–IMAG
Existence and regularity of anisotropic minimal surfaces
Differential Geometry Seminar · NCTS
Area ratio bounds and the existence of anisotropic minimal surfaces
PDE and Differential Geometry Seminar · University of Connecticut
Area ratio bounds and the existence of anisotropic minimal surfaces
2022
Geometry and Topology Seminar · University of Toronto
Area ratio bounds and the existence of anisotropic minimal surfaces
Joint Geometric Analysis Seminar · CUHK
Minimal hypersurfaces in a generic 8-dimensional closed manifold
Geometric Analysis and Application Seminar · Yale University
Minimal hypersurfaces in a generic 8-dimensional closed manifold
2021
Geometry and Topology Seminar · University of Toronto
Minimal hypersurfaces in a generic 8-dimensional closed manifold
Geometric Analysis Seminar · CUNY
Minimal hypersurfaces in a generic 8-dimensional closed manifold
Analysis and Geometric Analysis Seminar · Cornell University
Minimal hypersurfaces in a generic 8-dimensional closed manifold
Geometric Analysis Session · CMS 75th+1 Anniversary Summer Meeting
Generic Regularity of Minimal Hypersurfaces in Dimension 8
Geometric Analysis Seminar · University of Chicago
Generic Regularity of Minimal Hypersurfaces in Dimension 8 · Slides
Differential Geometry Seminar · UC San Diego
Generic Regularity of Minimal Hypersurfaces in Dimension 8
The 1st Geometric Analysis Festival
Generic Regularity of Minimal Hypersurfaces in Dimension 8 · Video
2020
Analysis and Partial Differential Equations Seminar · Johns Hopkins University
Generic Regularity of Minimal Hypersurfaces in Dimension 8
Special Session on Variational Aspects of Geometric Analysis · AMS Meeting
Min-max minimal hypersurfaces in higher dimensions
Geometry Seminar · Stanford University
Existence of minimal hypersurfaces with arbitrarily large area and Morse index
Differential Geometry Seminar · UC Santa Barbara
Existence of minimal hypersurfaces with arbitrarily large area and Morse index
2019
Geometric Analysis Learning Seminar · Princeton University
Minimal Hypersurfaces for Generic Metrics and Yau’s Conjecture
2017
Graduate Student Seminar · Princeton University
Positive Mass Theorem