LLM-Assisted Research (I hate it, but no choice):
(With P.-Y. Chan, M. Li) Volume growth and integral curvature bound for non-negatively curved three-manifolds, arXiv:2609.24096 [arxiv]
LLM-Assisted Research (I hate it, but no choice):
(With P.-Y. Chan, M. Li) Volume growth and integral curvature bound for non-negatively curved three-manifolds, arXiv:2609.24096 [arxiv]
Preprints:
(With J. Chu, J. Wan) Rigidity of positive mass theorem with fast metric decay, arXiv:2607.17236 [arxiv]
(With F. Litzinger, M. Simon) Spaces with distributional scalar curvature bounded from below: Optimal regularity and positive mass, arXiv:2606.23272 [arxiv]
Quantification of scalar curvature under C^0 convergence using smoothing, arXiv:2604.17759 [arxiv]
(With A. Deruelle, F. Schulze, M. Simon, P. Topping) PIC1 pinched manifolds are flat or compact, arXiv:2603.22086 [arxiv]
(With V. Tosatti, J. Zhang) Gromov-Hausdorff limits of immortal Kähler-Ricci flows, arXiv:2602.19913 [arxiv]
(With P.-Y. Chan, Y. Lai) Higher-dimensional flying wing Steady Ricci Solitons, arXiv:2510.23005 [arxiv]
(With P.-Y. Chan) On the weakly conical expanding gradient Ricci solitons, arXiv:2503.12416 [arxiv]
(With P.-Y. Chan, L. T. Peachey) Expanding Ricci solitons coming out of weakly PIC1 metric cones, arXiv:2404.12755 [arxiv]
(With J. Chu, J. Zhu) Singular positive mass theorem with arbitrary ends, arXiv:2210.08261 [arxiv]
Publications/ Accepted papers:
(With T.-K. Lee) Local mollification of metrics with small curvature concentration, arXiv:2510.12673, to appear in Compos. Math. [arxiv]
(With J. Chu, J. Zhu) On diameter rigidity for Kähler manifolds with positive holomorphic sectional curvature, Math. Z. 314, 18 (2026). [arxiv]
Uniqueness of Ricci flow with scaling invariant estimates, arXiv:2503.20292, to appear in Duke Math. J. [arxiv]
(With M. Hsiao) Gap Theorem on locally conformally flat manifold, arXiv:2504.08189, to appear in Comm. Anal. Geom. [arxiv]
(With P.-Y. Chan) Gap Theorem on Riemannian manifolds using Ricci flow, Adv. Math. 482 (2025), part C, Paper No. 110625. [arxiv]
(With J. Chu) Hypercritical deformed Hermitian-Yang-Mills equation, Trans. Amer. Math. Soc. 379 (2026), no. 08, 5765--5808. [arxiv]
(With S. Liu) Ricci-DeTurck Flow from Initial Metric with Morrey-type Integrability Condition, Pacific J. Math. 340 (2026) no. 2, 375--397. [arxiv]
(With J. Chu, J. Zhu) On Kähler manifolds with non-negative mixed curvature, J. Reine Angew. Math. 827 (2025), 313--338. [arxiv]
(With P. Topping) Manifolds with PIC1 pinched curvature, Geom. Topol. 29-9 (2025), 4767--4798. [arxiv]
(With J. Wan) Rigidity of contracting map using harmonic map heat flow, Proc. Amer. Math. Soc. 154 (2026), no. 7, 3107–3118. [arxiv]
(With H.-J. Hein, V. Tosatti) Collapsing immortal Kähler-Ricci flows, Forum Math. Pi, 13 (2025), Paper No. e18. [arxiv]
(With J. Chu, J. Zhu) Llarull's theorem on punctured sphere with L^∞ metric, arXiv:2405.19724, to appear in Ann. Sc. Norm. Sup. Cl. Sci. [arxiv]
(With J. Chu) Ricci-Deturck flow from rough metrics and applications to scalar curvature problems, J. Funct. Anal. 289 (2025), no. 2, Paper No. 110916. [arxiv]
(With J. Chu, J. Zhu) Homological n-systole in (n+1)-manifolds and bi-Ricci curvature, Adv. Math. 467 (2025), Paper No. 110187. [arxiv]
(With L.-F. Tam, J. Wan) Rigidity of area non-increasing maps, Trans. Amer. Math. Soc. 378 (2025), no. 4, 2797--2827. [arxiv]
(With P. Topping) Three-manifolds with non-negatively pinched Ricci curvature, J. Differential Geom, Vol. 131, Issue 3 (2025), pp. 633-651. [arxiv]
(With L.-F. Tam) Continuous metrics and a conjecture of Schoen, Trans. Amer. Math. Soc. 378 (2025), no. 3, 1531--1550 [arxiv]
(With P. Topping) Metric limits of manifolds with positive scalar curvature, Amer. J. Math. 148, no. 4 (2026): 901-914. [arxiv]
(With P.-Y. Chan, S. Huang) Manifolds with small curvature concentration, Ann. PDE 10 (2024), no. 2, Paper No. 23, 31 pp. [arxiv]
(With P.-Y. Chan) Gap Theorem on manifolds with small curvature concentration, Math. Z. 308 (2024), no. 1, Paper No. 9, 10 pp. [arxiv]
(With L.-F. Tam) Rigidity of Lipschitz map using harmonic map heat flow, Amer. J. Math. 148, no. 4 (2026): 985-1002. [arxiv]
(With P.-Y. Chan, J. Chu, T.-Y. Tsang) Monotonicity of the p-Green functions, Int. Math. Res. Not. IMRN, Volume 2024, Issue 9, May 2024, Pages 7998--8025 [arxiv]
Ricci Flow under Kato-type curvature lower bound, J. Geom. Anal. 34 (2024), no. 3, Paper No. 71, 22 pp. [arxiv]
(With J. Chu, K.-K. Kwong) Rigidity on non-negative intermediate curvature, Math. Res. Lett. Vol. 31, Issue 6 (2024), pp. 1693--1714. [arxiv]
(With J. Chu) Hypercritical deformed Hermitian-Yang-Mills equation revisited, J. Reine Angew. Math. 801 (2023), 161--172. [arxiv]
(With P. Topping) Time zero regularity of Ricci flow, Int. Math. Res. Not. IMRN, 2023, no. 24, 21167--21179. [arxiv]
(With Y. Huang) Scalar curvature lower bound under integral convergence, Math. Z. 303 (2023), no. 1, Paper No. 2. 53 [arxiv]
(With J. Chu, L.-F. Tam) Kähler manifolds and mixed curvature, Trans. Amer. Math. Soc. 375 (2022), no. 11, 7925--7944. [arxiv]
(With J. Chu) Kähler tori with almost non-negative scalar curvature, Commun. Contemp. Math. 25 (2023), no. 7, Paper No. 2250030, 13 pp. [arxiv]
(With M.-C. Cheng, L.-F. Tam) Singular metrics with negative scalar curvature, Internat. J. Math. 33 (2022), no. 7, 2250047, 27 pp. [arxiv]
(With J. Chu) Conformal Tori with almost non-negative scalar curvature, Calc. Var. Partial Differential Equations 61 (2022), no. 3, Paper No. 114. [arxiv]
(With J. Chu, R. Takahashi) A Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equation, J. Differential Geom. Vol. 126, No. 2 (2024), pp. 583--632. [arxiv]
(With P.-Y. Chan, E. Chen) Small curvature concentration and Ricci flow smoothing, J. Funct. Anal. 282 (2022), no. 10, Paper No. 109420. [arxiv]
(With J. Chu) On the H\"older estimate of Kähler-Ricci Flow, Int. Math. Res. Not. IMRN, 2023, no. 6, 4932--4951. [arxiv]
(With A. Naber, R. Neumayer) d_p convergence and ε-regularity theorems for entropy and scalar curvature lower bounds, Geom. Topol. 27-1 (2023), 227--350 [arxiv]
(With F. Fong) Higher-Order Estimates of Long-Time Solutions to the Kähler-Ricci Flow, J. Funct. Anal. 281 (2021), no. 11, Paper No. 109235. [arxiv]
(With L.-F. Tam) Some local Maximum principles along Ricci Flow, Canad. J. Math. 74 (2022), no. 2, 329--348. [arxiv]
(With K.-F. Li) Deformation of Hermitian metrics, Math. Res. Lett. 29 (2022), no. 5, 1485--1497. [arxiv]
(With F. He) On the uniqueness for the heat equation on complete Riemannian manifolds, Ann. Global Anal. Geom, 58, 497--504 (2020). [arxiv]
(With J. Chu, T. Collins) The space of almost calibrated (1, 1) forms on a compact Kähler manifold, Geom. Topol. 25--5 (2021), 2573--2619. [arxiv]
(With L.-F. Tam) Kähler manifolds with almost non-negative curvature, Geom. Topol. 25--4 (2021), 1979--2015. [arxiv]
Complete Kähler-Einstein metrics on Stein manifolds with negative curvature, Int. Math. Res. Not. IMRN, 2022, no. 6, 4280--4289. [arxiv]
Hermitian manifolds with quasi-negative curvature, Math. Ann. 380, 733--749 (2021). [arxiv]
(With S. Huang, L.-F. Tam, F. Tong) Longtime existence of Kähler Ricci flow and holomorphic sectional curvature, Comm. Anal. Geom. 30 (2022), no. 7, 1479--1509. [arxiv]
Second Ricci flow on noncompact Hermitian manifolds, Anal. PDE, 14 (2021), No. 4, 1309--1332. [arxiv]
(With J. Streets) Complex manifolds with negative curvature operator, Int. Math. Res. Not. IMRN, 2021, no. 24, 18520--18528. [arxiv]
(With A. Chau) The Kähler-Ricci flow around complete bounded curvature Kähler metrics, Trans. Amer. Math. Soc. 373 (2020), no. 5, 3627--3647. [arxiv]
(With S. Huang, L.-F. Tam) Instantaneously complete Chern-Ricci flow and Kähler Einstein metrics, Calc. Var. Partial Differential Equations 58 (2019), no. 5, Art. 161, 34 pp. [arxiv]
(With F. He) Weakly PIC1 manifolds with maximal volume growth, J. Geom. Anal. 31 (2021), no. 11, 10868--10885. [arxiv]
(With J. Ma) Uniqueness theorems for non-compact mean curvature flow with possibly unbounded curvatures, Comm. Anal. Geom. 29 (2021), no. 6, 1475--1508. [arxiv]
(With L.-F. Tam) Chern-Ricci flows on noncompact complex manifolds. J. Differential Geom, Vol. 115, No. 3 (2020), pp. 529--564. [arxiv]
On the uniqueness of Ricci flow. J. Geom. Anal. 29 (2019), no. 4, 3098--3112. [arxiv]
(With L.-F. Tam) Some curvature estimates of Kähler Ricci flow. Proc. Amer. Math. Soc. 147 (2019), no. 6, 2641--2654. [journal]
(With A. Naber, R. Neumayer) Convergence and regularity of manifolds with scalar curvature and entropy lower bounds. Perspectives in Scalar Curvature. 2023. 543-576. https://doi.org/10.1142/9789811273223_0003
Hermitian manifolds with negative curvature, to appear in Proceedings of the International Congress of Chinese Mathematicians (Beijing 2019)