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Kai Xu is a Morrey Visiting Assistant Professor in the Department of Mathematics at the University of California, Berkeley, appointed in 2025. His research interests focus on advanced topics in differential geometry including scalar curvature, inverse mean curvature flow, and spectral Ricci curvature. He is passionate about exploring the geometric aspects of curvature and how they relate to the topology of manifolds. His work contributes to the understanding of complex geometric flows and the intrinsic properties of spaces. Through his research, Xu aims to address significant problems in the field that enhance the mathematical foundations of geometry and attract further inquiry. Aside from teaching and pursuing research, he remains engaged in collaborative academic environments that foster knowledge sharing and innovation in mathematics.
The Mathematics Subject GRE is required for the Fall 2026 admissions cycle. General GRE is optional.