Publications

  • Structure Theory of Parabolic Nodal and Singular sets. With Robert Koirala and Zilu Ma [arXiv]
  • An ε-Regularity Theorem for Non-Collapsed Ricci Flow. With Harry Fluck [arXiv]
  • Remarks on Singular Käher-Einstein Metrics. With Gábor Székelyhidi [arXiv]
  • Non-collapsed finite time singularities of the Ricci flow on compact Käher surfaces are of Type I. With Ronan Conlon and Zilu Ma [arXiv]
  • On Käher-Einstein Currents. With Yifan Chen, Shih-Kai Chiu, Gábor Székelyhidi, Tat Dat Tô , and Freid Tong [arXiv]
  • Kähler-Ricci Tangent Flows are Infinitesimally Algebraic. [arXiv]
  • Geometric regularity of blow-up limits of the Kähler-Ricci flow. With Wangjian Jian, Jian Song, and Gang Tian Geometric and Functional Analysis [Journal] [arXiv]
  • Tangent Flows of Kähler Metric Flows. With Wangjian Jian Crelle's Journal [Journal] [arXiv]
  • Canonical Surgeries in Rotationally Invariant Ricci Flow. With Tim Buttsworth and Yongjia Zhang Transactions of the AMS [Journal] [arXiv]
  • Ricci Flow with Ricci Curvature and Volume Bounded Below. Mathematische Annalen [Journal] [arXiv]
  • The Entropy of Ricci Flows with Type-I Scalar Curvature Bounds Advances in Mathematics [Journal] [arXiv]
  • Local Stability of Einstein Metrics Under the Ricci Iteration. With Tim Buttsworth Journal of Functional Analysis 280, 2021. [Journal] [arXiv]
  • Nonexistence of Noncompact Type-I Three-Dimensional kappa-Solutions of Ricci Flow with Positive Curvature Commun. Contemp. Math. 21, 2019. [Journal] [arXiv]
  • A differential Harnack inequality for the Newell-Whitehead-Segel equation. With Derek Booth, Jack Burkart, Xiaodong Cao, Zachary Munro, Jason Snyder, Tom Stone Anal. Theory Appl. 35, 2019. [Journal] [arxiv]