Publications and Preprints

  • Kähler-Ricci Tangent Flows in the Analytic Minimal Model Program. With Longteng Chen and Lucas Lavoyer. [arXiv]
  • Singular Kähler-Ricci Shrinkers and Polarized Fano Fibrations. With Junsheng Zhang. [arXiv]
  • Expanding Soliton Models for Kähler-Ricci Flow Near Conical Singularities. With Longteng Chen and Lucas Lavoyer. [arXiv]
  • 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 Kähler-Einstein Metrics. With Gábor Székelyhidi. Accepted for publication in Mathematische Annalen. [arXiv]
  • Non-collapsed finite time singularities of the Ricci flow on compact Kähler surfaces are of Type I. With Ronan Conlon and Zilu Ma. [arXiv]
  • On Kähler-Einstein Currents. With Yifan Chen, Shih-Kai Chiu, Gábor Székelyhidi, Tat Dat Tô, and Freid Tong. [arXiv]
  • Kähler-Ricci Tangent Flows are Infinitesimally Algebraic. Accepted for publication in Journal of the European Mathematical Society. [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. Communications in Contemporary Mathematics 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, and Tom Stone. Analysis in Theory and Applications 35, 2019. [Journal] [arXiv]