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 structure theory of spaces with curvature bounded from below, geometric flows, and collapsing theory.
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)
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)
Stability of Euclidean 3-space for the positive mass theorem, with Antoine Song, Invent. Math. (2025)
Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds, Ann. Math. Que. (2024)
Three-manifolds with bounded curvature and uniformly positive scalar curvature, J. Geom. Anal. (2023)
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)
Convergence of manifolds under some L^p -integral curvature conditions, arXiv:1811.09994 (unpublished)
Teaching
Spring 2026, Instructor, Math 353/753 (Section 2) ODE and PDE