Faculty

Institution

Unit

Venue

Xin Zhou

Professor

Cornell University

Affiliations

College of Arts and Sciences

Department of Mathematics

Xin Zhou is currently serving as a College Of Arts And Sciences Professor at Cornell University.

Honors

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Experiences

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Education

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Xin Zhou

Cornell University

Professor

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geometric analysis geometric topology mathematics differential geometry applied mathematics geometry and topology riemannian manifold riemannian geometry geometry mathematical sciences geometric partial differential equation boundary value problems min-max theory free boundary problems global analysis mathematical analysis enumerative geometry topology global geometry multiplicity one ricci flow functional analysis morse index minimal surfaces algebraic topology function spaces convex analysis integral geometry extremal combinatorics prescribed mean curvature integer multiplicity multiplicity one conjecture curvature estimates physics mathematical optimization entropy modern physics high energy physics membrane science nonlinear analysis theoretical physics variational analysis variational inequalities convex optimization discrete geometry topological combinatorics extremal set theory geometric flows metric graph theory gravitational physics particle cosmology real algebraic geometry membrane computing regularization (mathematics) energy minimization discretization theorem min-max hypersurface minimal laminations uniform curvature estimates minimal hypersurface regularity theory reduced energy min-max sequence rational mechanic

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Improved $$C^{1,1}$$ Regularity for Multiple Membranes Problem. Peking Mathematical Journal (2025)

Zhichao WangXin Zhou

partial differential equationsregularization (mathematics)computational mathematicsmultiple membranes problemgeometric analysisabstract and applied analysisfree boundary problemsmembrane computingmembrane scienceboundary value problemsapplied mathematicsmembranesmathematicsconvex analysisnonlinear analysis

Min-Max Minimal Hypersurfaces With Higher Multiplicity. Journal of Differential Geometry (2025)

Zhichao WangXin Zhou

higher multiplicityenumerative geometrygeometry and topologygeometric analysisreal algebraic geometrymathematicsdifferential geometrygeometric topology

Free Boundary Minimal Hypersurfaces With Least Area. EDP Sciences eBooks (2024)

Qiang GuangZhichao WangXin Zhou

geometric measure theoryenumerative geometryleast areageometry and topologygeometric analysismathematical sciencesboundary value problemsapplied mathematicsmathematicsfree boundary problemsdifferential geometrygeometrygeometric partial differential equationgeometric topology

Min-Max Theory for Capillary Surfaces. Journal für die reine und angewandte Mathematik (Crelles Journal) (2024)

Chao LiXin ZhouJonathan J. Zhu

mathematical analysismultiplicity oneriemannian geometrygeometry and topologyambient metricsgeometric analysisglobal geometryriemannian manifoldmin-max theorymathematical sciencesboundary value problemsapplied mathematicsmathematicsdifferential geometrygeometrygeometric partial differential equationgeometric topology

Multiplicity One for Min–Max Theory in Compact Manifolds With Boundary and Its Applications. Calculus of Variations and Partial Differential Equations (2024)

Ao SunZhichao WangXin Zhou

min–max theorymultiplicity onegeometry and topologyglobal analysiscompact manifoldsgeometric analysisriemannian manifoldboundary value problemsapplied mathematicsmathematicsfree boundary problemsdifferential geometrygeometric topology

Recent Progress on Compactness of Minimal Surfaces With Free Boundary. EDP Sciences eBooks (2024)

Qiang GuangXin Zhou

topologyenumerative geometrygeometry and topologyglobal analysisgeometric analysisglobal geometryrecent progressmathematicsfree boundary problemsdifferential geometrygeometrygeometric topology

Existence of Constant Mean Curvature 2‐Spheres in Riemannian 3‐Spheres. Communications on Pure and Applied Mathematics (2023)

Da Rong ChengXin Zhou

mathematical analysisriemannian geometrygeometry and topologyconstant mean curvaturegeometric analysisriemannian manifoldmin‐max schemeapplied mathematicsriemannian 3‐spheresmathematicsdifferential geometrygeometrygeometric partial differential equationgeometric topology

Mean Curvature and Variational Theory. EMS Press eBooks (2023)

Xin Zhou

riemannian geometrygeometry and topologyvariational theorygeometric analysisglobal geometryriemannian manifoldmean curvaturemathematical sciencesapplied mathematicsmathematicsmultiplicity one conjecturedifferential geometrygeometrygeometric partial differential equationgeometric topology

Recent Progress on Geometric Variational Theory. Scientia Sinica Mathematica (2023)

Wang TongruiZhou Xin

geometry and topologytheoretical physicsgeometric analysisintegral geometryrecent progressmathematicsdifferential geometrygeometrygeometric topology

A Maximum Principle for Free Boundary Minimal Varieties of Arbitrary Codimension. Communications in Analysis and Geometry (2021)

Martin Man-chun LiXin Zhou

riemannian geometrygeometry and topologygeometric analysisriemannian manifoldboundary maximum principlemathematical sciencesarbitrary codimensionmaximum principlemathematicsdifferential geometrygeometric topology

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Xin Zhou

Professor

Cornell University

Affiliations

College of Arts and Sciences

Department of Mathematics

Xin Zhou is currently serving as a College Of Arts And Sciences Professor at Cornell University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Xin Zhou

Cornell University

Professor

You can click a keyword to filter the displayed items

Video Presentations

Notable Scholarly Works

Notable Federal Grants

Collaborators

Improved $$C^{1,1}$$ Regularity for Multiple Membranes Problem. Peking Mathematical Journal (2025)

Zhichao WangXin Zhou

Min-Max Minimal Hypersurfaces With Higher Multiplicity. Journal of Differential Geometry (2025)

Zhichao WangXin Zhou

higher multiplicityenumerative geometrygeometry and topologygeometric analysisreal algebraic geometrymathematicsdifferential geometrygeometric topology

Free Boundary Minimal Hypersurfaces With Least Area. EDP Sciences eBooks (2024)

Qiang GuangZhichao WangXin Zhou

Min-Max Theory for Capillary Surfaces. Journal für die reine und angewandte Mathematik (Crelles Journal) (2024)

Chao LiXin ZhouJonathan J. Zhu

Multiplicity One for Min–Max Theory in Compact Manifolds With Boundary and Its Applications. Calculus of Variations and Partial Differential Equations (2024)

Ao SunZhichao WangXin Zhou

Recent Progress on Compactness of Minimal Surfaces With Free Boundary. EDP Sciences eBooks (2024)

Qiang GuangXin Zhou

topologyenumerative geometrygeometry and topologyglobal analysisgeometric analysisglobal geometryrecent progressmathematicsfree boundary problemsdifferential geometrygeometrygeometric topology

Existence of Constant Mean Curvature 2‐Spheres in Riemannian 3‐Spheres. Communications on Pure and Applied Mathematics (2023)

Da Rong ChengXin Zhou

Mean Curvature and Variational Theory. EMS Press eBooks (2023)

Xin Zhou

Recent Progress on Geometric Variational Theory. Scientia Sinica Mathematica (2023)

Wang TongruiZhou Xin

geometry and topologytheoretical physicsgeometric analysisintegral geometryrecent progressmathematicsdifferential geometrygeometrygeometric topology

A Maximum Principle for Free Boundary Minimal Varieties of Arbitrary Codimension. Communications in Analysis and Geometry (2021)

Martin Man-chun LiXin Zhou

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4
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