معرفی
Ling Xiao is an Associate Professor in the Department of Mathematics at the University of Connecticut, Storrs, within the College of Liberal Arts and Sciences. Her research focuses on fully nonlinear partial differential equations arising from geometric problems, particularly curvature flows and their applications. She investigates existence, uniqueness, regularity, and qualitative properties of solutions, with a strong emphasis on interactions between PDEs and geometry.
Her work spans differential geometry, topology, and geometric analysis, addressing topics such as spacelike hypersurfaces in Minkowski space, isoperimetric inequalities in de Sitter space, and curvature flow dynamics in various geometric contexts. Xiao’s contributions bridge geometric problems with advanced PDE techniques, yielding insights into curvature-driven phenomena.
Her research has led to publications in top journals such as Journal of Differential Geometry, Communications in Analysis and Geometry, and Calculus of Variations and Partial Differential Equations. She maintains an active research program with collaborators like Zhizhang Wang and Joel Spruck, focusing on geometric flows, curvature equations, and spacetime geometry.
No scientific awards or grants are explicitly listed in the provided materials. She advises no named students in the given data. Her homepage includes a preprint repository addressing topics like generalized Minkowski inequalities and exterior Dirichlet problems in hyperbolic spaces.
