About
Yang Li is a Royal Society University Research Fellow at the University of Cambridge, affiliated with the Department of Pure Mathematics and Mathematical Statistics within the Faculty of Mathematics. His research lies at the intersection of differential geometry, complex geometry, and mathematical physics, with a focus on foundational structures in string theory and mirror symmetry.
Dr. Li's primary research interests center on Calabi-Yau metrics, special Lagrangian submanifolds, special holonomy, and gauge theory. His work explores the geometric behavior of Calabi-Yau manifolds under degeneration, addressing fundamental questions about metric collapse, diameter bounds, and the structure of singular limits. He has made significant contributions to the SYZ conjecture through constructions of explicit metrics and analysis of fibrations, while his gauge theory research examines singular connections and their topological implications.
His publication record demonstrates a strong trajectory in geometric analysis, with recent work establishing uniform diameter bounds for collapsing Calabi-Yau metrics, developing non-Archimedean approaches to the SYZ conjecture, and proving uniqueness results for tangent cones of special Lagrangians. The research spans both theoretical developments in metric geometry and concrete constructions of geometric structures.
Notable recognition includes the prestigious Royal Society University Research Fellowship, which supports his independent research program at Cambridge.
- Actively recruiting PhD students for October 2025 entry
- Research supported by Royal Society funding
Dr. Li maintains an active research program within Cambridge's world-leading Department of Pure Mathematics and Mathematical Statistics, collaborating with leading geometers including Valentino Tosatti and Tristan Collins. His work bridges abstract geometric theory with applications to theoretical physics, particularly in understanding the geometric foundations of mirror symmetry.
