Research

1.  (with Siyuan Lu) A priori interior curvature bounds for locally strictly convex solutions to elliptic Weingarten equations.

(To be submitted for a special issue.)

2. A note on interior curvature estimates for strictly convex solutions to the equation of prescribed curvature quotient.

Submitted.

[preprint]

3. Interior curvature estimates for uniformly convex hypersurfaces of prescribed curvature quotient.

Submitted.

4. Curvature estimates for hypersurfaces of constant curvature in hyperbolic space II.

Proc. Amer. Math. Soc. (to appear) 

[arXiv link, journal link]

5. The Dirichlet problem for the prescribed curvature equations in Minkowski space. 

J. Funct. Anal. 289 (2025), no. 11, Paper No. 111149.

[arXiv link, journal link]

6. (Ph.D. thesis) Hypersurfaces of constant scalar curvature in hyperbolic space with prescribed asymptotic boundary at infinity. 

Adv. Math. 480 (2025), part A, Paper No. 110493, 24 pp.

[arXiv link, journal link] 

7. Starshaped Compact Hypersurfaces in Warped Product Manifolds II: A Class of Hessian Type Equations.

J. Geom. Anal. 35 (2025), no. 1, Paper No. 24. 

[arXiv link, journal link] 

8. Starshaped Compact Hypersurfaces in Warped Product Manifolds I: Prescribed Curvature Equations.

Calc. Var. Partial Differential Equations 63 (2024), no.9, Paper No. 241.  

[arXiv link, journal link]

9. (M.Sc. thesis) Curvature Estimates for Hypersurfaces of Constant Curvature in Hyperbolic Space. 

Math. Res. Lett. 31 (2024), no. 4, 1197–1213.  

[arXiv link, journal link]