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Xin Zhou

Cornell University · Mathematics

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Regular biography

Xin Zhou is a Professor in the Department of Mathematics at Cornell University. His research focuses on geometric analysis and calculus of variations, with publications in areas such as min-max theory, minimal hypersurfaces, and curvature estimates. He has contributed to the study of existence and regularity of minimal hypersurfaces, as well as the application of min-max methods to problems in geometry and analysis. Zhou holds a Ph.D. in mathematics from Stanford University and has affiliations with the College of Arts and Sciences. His work has been featured in prominent journals, including the Journal of Differential Geometry and the Annals of Mathematics.


Scholar profile summary
Scholar-generated biography

Xin Zhou is a professor at Cornell University specializing in Differential Geometry. His research focuses on min-max theory, free boundary minimal hypersurfaces, and curvature estimates for stable hypersurfaces. Zhou's work explores the existence and properties of minimal surfaces with prescribed mean curvature, including the study of generic min-max constructions and their applications to manifolds with positive Ricci curvature. His publications address topics such as entropy of closed surfaces, mass angular momentum inequalities, and the multiplicity one conjecture in min-max theory. Zhou's contributions advance the understanding of geometric variational problems and their analytical implications.

Source: google_scholar · 93 words
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