(joint with Daniel Fadel and Luiz Lara) SU(2) Yang-Mills-Higgs functional with Higgs self-interaction on 3-manifolds. [arXiv]
Existence of constant mean curvature disks in R^3 with capillary boundary condition. [arXiv]
(joint with Spiro Karigiannis and Jesse Madnick) A variational characterization of calibrated submanifolds. Calculus of Variations and Partial Differential Equations 62 (2023), no. 6, Paper No. 174. [Journal][arXiv]
Existence of free boundary disks with constant mean curvature in R^3. Advances in Mathematics 457 (2024), 109899. [Journal][arXiv]
(joint with Xin Zhou) Existence of curves with constant geodesic curvature in a Riemannian 2-sphere. Transactions of the American Mathematical Society 374 (2021), no.12, 9007-9028. [Journal][arXiv]
(joint with Xin Zhou) Existence of constant mean curvature 2-spheres in Riemannian 3-spheres. Communications on Pure and Applied Mathematics 76 (2023), no. 11, 3374-3436. [Journal][arXiv]
Stable solutions to the abelian Yang-Mills-Higgs equations on S^2 and T^2. The Journal of Geometric Analysis 31 (2021), no. 10, 9551-9572. [Journal][arXiv]
Instability of solutions to the Ginzburg-Landau equation on S^n and CP^n. Journal of Functional Analysis 279 (2020), No. 8, 108669. [Journal][arXiv]
(joint with Spiro Karigiannis and Jesse Madnick) Bubble tree convergence of conformally cross product preserving maps. Asian Journal of Mathematics 24 (2020), No. 6, 903-984. [Journal][arXiv]
Asymptotics for the Ginzburg-Landau equation on manifolds with boundary under homogeneous Neumann condition. Journal of Functional Analysis 278 (2020), No. 4, 108364. [Journal][arXiv]
Geometric Variational Problems: Regular and Singular behavior. PhD Thesis, Stanford University, June 2017.
A compactness result for energy-minimizing harmonic maps with rough domain metric. Communications in Analysis and Geometry 25 (2017), No.5, 927-940. [Journal][arXiv]