Xiaodong Cao

Publications

• The Weyl tensor of gradient Ricci solitons (with Hung Tran), Geometry & Topology, to appear.
• Curvature pinching estimate and singularities of the Ricci flow, Communications in Analysis and Geometry 19 no. 5 (2011), 975–990.
• The conjugate heat equation and ancient solutions of the Ricci flow (with Qi S. Zhang), Advances in Mathematics 228 no. 5 (2011), 2891–2919.
• Differential Harnack estimates for time-dependent heat equations with potentials (with Richard Hamilton), Geom. Funct. Anal. 19 no. 4 (2009), 989–1000.
• Differential Harnack estimates for backward heat equations with potentials under the Ricci flow, J. Funct. Anal. 255 no. 4 (2008), 1024–1038.

MATH Courses - Fall 2024

• MATH 3210 : Manifolds and Differential Forms
• MATH 4900 : Supervised Research
• MATH 4901 : Supervised Reading

MATH Courses - Spring 2025

• MATH 4540 : Introduction to Differential Geometry
• MATH 4900 : Supervised Research
• MATH 4901 : Supervised Reading