Xiaolong Liمشاهده پروفایل
استادیار
- Geometric Analysis
- Ricci Flow
- Kähler Geometry
- +۴ مورد دیگر
Dr. Xiaolong Li is an Assistant Professor at the Department of Mathematics, Statistics and Physics, Wichita State University, within the Fairmount College of Liberal Arts and Sciences. He holds a Ph.D. from the University of California, San Diego (2017), where his advisors were Professors Lei Ni and Ben Chow. Prior to his current role, he served as a Visiting Assistant Professor at the University of California, Irvine (2017–2020), working under Professor Richard Schoen, and held a Britton Postdoctoral Fellowship at McMaster University (2020–2021). His undergraduate studies were at Tsinghua University. His research focuses on Geometric Analysis , particularly employing partial differential equations to study geometric and topological properties of Riemannian manifolds. Key interests include Ricci flow, Kähler-Ricci flow, curvature operators, Einstein manifolds, and eigenvalue problems. Recent work emphasizes curvature constraints, geometric rigidity, and applications of matrix estimates in geometric evolution equations. Dr. Li’s publications (2016–2025) explore topics such as Li-Yau-Hamilton estimates, curvature operator analysis, and Robin eigenvalue problems, reflecting a deep engagement with both pure geometry and analytic techniques. His work bridges geometric flows, spectral theory, and complex geometry, contributing to foundational understanding of manifold structures and their topological implications. His academic journey includes postdoctoral research at leading institutions, reflecting a trajectory of rigorous scholarly contribution to differential geometry and geometric analysis.










