Geometric Flows and Dynamics

1. Mean curvature flow with multiplicity 2 convergence in closed manifolds (with Jingwen Chen), arXiv:2402.04521

2. Mean curvature flow with multiplicity 2 convergence (with Jingwen Chen), arXiv:2312.17457

3. Genus one singularities in mean curvature flow (with Adrian Chun-Pong Chu), arXiv:2308.05923 

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

5. 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 

6. Initial Perturbation of the Mean Curvature Flow for Asymptotical Conical Limit Shrinker (with Jinxin Xue), arXiv:2107.05066

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

8. 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 

9. 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)

10. 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

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

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

13. 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 

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

15. 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

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

4. Rigidity and Łojasiewicz inequalities for Clifford self-shrinkers (with Jonathan Zhu), arXiv:2011.01636

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