Conghan Dong

Conghan Dong is the William W. Elliott Assistant Research Professor in the Department of Mathematics at Duke University. He teaches courses in Ordinary and Partial Differential Equations at both undergraduate (MATH 353) and graduate (MATH 753) levels, with multiple sections scheduled for Fall 2025.

Dr. Dong's research focuses on geometric analysis and differential geometry, with particular expertise in:

• Ricci curvature and Einstein metrics
• Positive mass theorem stability in general relativity
• Scalar curvature and its geometric implications
• Conformal geometry and metric spaces
• Three-manifold topology
• Convergence theories for Riemannian manifolds

His recent publications demonstrate significant contributions to understanding stability properties of geometric structures, particularly his 2025 Inventiones Mathematicae paper confirming Huisken and Ilmanen's conjecture about Euclidean 3-space stability for the positive mass theorem. His work bridges pure mathematics with applications in theoretical physics, appearing in top-tier journals across geometric analysis.

Dr. Dong collaborates with researchers including X. Chen, A. Song, Y. Li, and K. Xu, indicating an active research network in geometric analysis. His publication record shows consistent output with multiple papers in prestigious journals over recent years, reflecting an active and developing research program in differential geometry.