Song-Ying Li

Song-Ying Li is a Professor in the Department of Mathematics at the University of California, Irvine (UCI), affiliated with the School of Physical Sciences. Her research focuses on Analysis and Partial Differential Equations, with particular emphasis on complex geometry, harmonic maps, and Bergman metrics. She is also associated with the Rowland Hall facility, where her office hours are held weekly.

Her work addresses fundamental problems in several complex variables, including boundary behavior of harmonic functions, geometric PDEs, and rigidity theorems. Notable contributions include studies on Bergman metrics with constant holomorphic curvatures, solutions to the Kerzman problem, and applications of the Calabi extension theorem. She has published extensively on topics such as CR geometry, eigenvalue estimates for the Kohn Laplacian, and composition operators in complex analysis.

Her research trends reflect deep engagement with geometric analysis, operator theory, and the interplay between complex geometry and partial differential equations. While no specific awards are listed, her prolific publication record underscores her scholarly impact. Advising and grants information is not detailed in the provided text, but her lab/teams' focus aligns with UCI's Department of Mathematics research priorities in analysis and geometry.