About me
I'm a William W. Elliott Assistant Research Professor at Duke University. 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 [dot] dong [at] duke [dot] edu
Research Interest
My interests include structure theory of spaces with curvature bounded from below, geometric flows, and collapsing theory.
Non-collapsing of Ricci shrinkers with bounded curvature, with Yu Li, arXiv:2412.13546
Stability for the 3D Riemannian Penrose inequality, arXiv:2402.10299
Stability of Euclidean 3-space for the positive mass theorem, with Antoine Song, Invent. Math. (2024), arXiv:2302.07414
Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds, Ann. Math. Que. (2024), arXiv:2211.06730
Three-manifolds with bounded curvature and uniformly positive scalar curvature, J. Geom. Anal. (2023), arXiv:2210.14442
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:1907.12464
Convergence of manifolds under some L^p -integral curvature conditions, arXiv:1811.09994 (unpublished)
Invited Talks
GMT and Minimal Submanifolds Seminar, SLMath, September 2024
MAGEC workshop, Caltech, March 2024
Differential Geometry Seminar, UC Santa Barbara, February 2024
Analysis Seminar, Columbia University, January 2024
Geometric Analysis Seminar, University of Chicago, November 2023
Analysis Seminar, Cornell University, October 2023
Seminar, Tsinghua University, June 2023
Seminar, Chinese Academy of Sciences, June 2023
Geometry Seminar, Rice University, April 2023
Topics in Differential Geometry Workshop, Brown University, March 2023
Online Seminar, Peking University, March 2023
Geometry/Topology Seminar, Stony Brook University, March 2023
Geometric Analysis Seminar, University of Miami, March 2023
Geometric Analysis Seminar, CUNY, February 2023
The 2nd Global Youth Forum, Institute of Geometry and Physics, USTC, December 2022
Geometric Analysis and Mathematical Relativity Seminar, Duke University, November 2022
Metric Geometry Seminar, Capital Normal University, November 2022
Geometry/Topology Seminar, Stony Brook University, September 2022