About me
I'm a William W. Elliott Assistant Research Professor at Duke University, mentored by Hubert Bray. Previously, I was a Postdoc at SLMath/MSRI. I obtained my Ph.D. from Stony Brook University in 2024, supervised by Xiuxiong Chen.
Email: conghan.dong@duke.edu
Research Interest
My interests include differential geometry, partial differential equations, metric geometry, and mathematical relativity.
I will be on the tenure-track job market in Fall 2026.
The Penrose conjecture for initial data sets satisfying a 2-convexity condition, arXiv:2607.20741
On 3-manifolds with small mass and L^2-curvature, with Antoine Song, arXiv:2606.07864
The sigma-inverse mean curvature flow and the generalized Penrose conjecture, arXiv: 2605.26504
Non-collapsing of Ricci shrinkers with bounded curvature, with Yu Li, Math. Ann. (2026) arXiv
Volume gap theorems for Ricci nonnegative metrics and Einstein metrics, with Xiuxiong Chen, J. Math. Study (2025)
Stability for the 3D Riemannian Penrose inequality, Geom. Topol. (2025) arXiv
Stability of Euclidean 3-space for the positive mass theorem, with Antoine Song, Invent. Math. (2025) arXiv
Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds, Ann. Math. Que. (2024) arXiv
Three-manifolds with bounded curvature and uniformly positive scalar curvature, J. Geom. Anal. (2023) arXiv
Compactness of conformal metrics with integral bounds on Ricci curvature, with Yuxiang Li, Pacific J. Math. (2022)
W^{1,p} -metrics and conformal metrics with L^{n/2} -bounded scalar curvature, with Yuxiang Li and Ke Xu, Commun. Contemp. Math. (2023) arXiv
Convergence of manifolds under some L^p -integral curvature conditions, arXiv:1811.09994 (unpublished)
Teaching
Fall 2026, Instructor, Math 353/753 (Section 6) ODE and PDE
Summer 2026, Instructor, Math 230 Probability