Geometric Flows and Dynamics

1. Regularity of cylindrical singular sets of mean curvature flow (with Zhihan Wang and Jinxin Xue), arXiv:2509.01707

2. Passing through nondegenerate singularities in mean curvature flows (with Zhihan Wang and Jinxin Xue), arXiv:2501.16678

3. On the long-time limit of the mean curvature flow in closed manifolds (with Alex Mramor), arXiv:2412.03475

4. Mean curvature flow with multiplicity 2 convergence in manifolds (with Jingwen Chen), arXiv:2402.04521
   Mathematische Annalen. https://link.springer.com/article/10.1007/s00208-025-03147-0 

5. Mean curvature flow with multiplicity 2 convergence (with Jingwen Chen), arXiv:2312.17457
   Accepted by Analysis & PDE.

6. Genus one singularities in mean curvature flow (with Adrian Chun-Pong Chu), arXiv:2308.05923
   Accepted by Geometry & Topology. 

7. Generic mean curvature flows with cylindrical singularities (with Jinxin Xue), arXiv:2210.00419

8. Generic regularity of Level Set Flows with spherical singularity (with Jinxin Xue), arXiv:2204.07896
   Annals of PDE. doi.org/10.1007/s40818-024-00170-3 

9. Generic dynamics of mean curvature flows with asymptotically conical singularities (with Jinxin Xue), arXiv:2107.05066
   Science China Mathematics. https://doi.org/10.1007/s11425-024-2391-6 

10. Initial Perturbation of the Mean Curvature Flow for closed limit shrinker (with Jinxin Xue), arXiv:2104.03101

11. Bifurcation of perturbations of non-generic closed self-shrinkers (with Zhengjiang Lin), arXiv:2004.07787
    Journal of Topology and Analysis. doi.org/10.1142/S1793525321500199 

12. Entropy in A Closed Manifold and Partial Regularity of Mean Curvature Flow Limit of Surfaces, arXiv:1912.09431
    Journal of Geometric Analysis. doi.org/10.1007/s12220-020-00494-z (Correction)

13. Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at $-\infty$ (with Douglas Stryker), arXiv:1909.02535
    Communications in Contemporary Mathematics. doi.org/10.1142/S0219199720500881

14. Construction of High Codimension Ancient Mean Curvature Flows (with Douglas Stryker), arXiv:1908.02688

15. On the Entropy of Parabolic Allen-Cahn Equation, arXiv:1812.08894
    Interfaces and Free Boundaries. https://ems.press/journals/ifb/issues/1547

16. Local Entropy and Generic Multiplicity One Singularities of Mean Curvature Flow of Surfaces, arXiv:1810.08114
    Journal of Differential Geometry. doi.org/10.4310/jdg/1685121322 

17. Singularities of Mean Curvature Flow of Surfaces with Additional Forces, arXiv:1808.03937

18. Sharp Entropy Bounds for Plane Curves and Dynamics of the Curve Shortening Flow (with Julius Baldauf), arXiv:1808.03936
    Communications in Analysis and Geometry. dx.doi.org/10.4310/CAG.2023.v31.n3.a3  

Solitons of Geometric Flows

1. On mean curvature flow translators with prescribed ends (with Zhihan Wang), arXiv:2301.08224
   Archive for Rational Mechanics and Analysis. https://doi.org/10.1007/s00205-025-02125-9 

2. A Carleman inequality on product manifolds and applications to rigidity problems,
   Advanced Nonlinear Studies. https://doi.org/10.1515/ans-2022-0048

3. Rigidity of spherical product Ricci solitons (with Jonathan Zhu), arXiv:2108.02326
   Accepted by Communications in Analysis and Geometry.

4. Rigidity and Łojasiewicz inequalities for Clifford self-shrinkers (with Jonathan Zhu), arXiv:2011.01636
   Calculus of Variations and Partial Differential Equations. https://doi.org/10.1007/s00526-025-03037-y

5. Compactness of self-shrinkers in \mathbb R^3 with fixed genus (with Zhichao Wang), arXiv:1811.05387
   Adv. Math. https://doi.org/10.1016/j.aim.2020.107110

Minimal surfaces and constant mean curvature surfaces

1. Existence of minimal hypersurfaces with arbitrarily large area and possible obstructions (with James Stevens) arXiv:2112.02389
   Journal of Functional Analysis https://doi.org/10.1016/j.jfa.2024.110526

2. Multiplicity one for min-max theory in compact manifolds with boundary and its applications (with Zhichao Wang and Xin Zhou), arXiv:2011.04136
   Calculus of Variations and Partial Differential Equations. link.springer.com/article/10.1007/s00526-024-02669-w 

3. Min-max minimal disks with free boundary in Riemannian manifolds (with Longzhi Lin and Xin Zhou), arXiv:1806.04664
   Geometry & Topology. https://doi.org/10.2140/gt.2020.24.471

4. Compactness of Constant Mean Curvature Surfaces in Three Manifold with Positive Ricci Curvature, arXiv:1804.09328
   Pacific Journal of Mathematics. dx.doi.org/10.2140/pjm.2020.305.735 

5. Compactness and Rigidity of $\lambda$-Surfaces, arXiv:1804.09316
   International Mathematics Research Notices. https://doi.org/10.1093/imrn/rnz363

6. Carleman Estimate for Surface in Euclidean Space at Infinity, arXiv:1703.08759