Existence of harmonic maps and eigenvalue optimization in higher dimensions (with M. Karpukhin), arXiv preprint, arXiv:2207.13635.
Quantization and non-quantization of energy for higher-dimensional Ginzburg—Landau vortices (with A. Pigati), Ars Inveniendi Analytica (2023), Paper No. 3, 55p.
From Steklov to Laplace: free boundary minimal surfaces with many boundary components (with M. Karpukhin), arXiv preprint, arXiv:2109.11029.
Min-max harmonic maps and a new characterization of conformal eigenvalues (with M. Karpukhin), arXiv preprint, arXiv:2004.04086.
Harmonic functions and the mass of 3-dimensional asymptotically flat Riemannian manifolds (with H. Bray, D. Kazaras, and M. Khuri), Journal of Geometric Analysis, vol. 32 (2022).
Scalar curvature and harmonic maps to S^1, Journal of Differential Geometry, vol. 122 no. 2 (2022), 259—269.
Minimal submanifolds from the abelian Higgs model (with A. Pigati), Inventiones Mathematicae, vol. 223 (2021), 1027—1095.
(with R. Lodge and S. Mukherjee) On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps, Geom. Funct. Anal., 32:1428–1485, 2022.
(with R. Lodge and S. Mukherjee) Circle packings, kissing reflection groups and critically fixed anti-rational maps, Forum Math. Sigma, 10: e3, 2022.
On geometrically finite degenerations I: boundaries of main hyperbolic components, J. Eur. Math. Soc. (JEMS), to appear, 2021.
Trees, length spectra for rational maps via barycentric extensions and Berkovich spaces, Duke Math. J., 171(14): 2943–3001, 2022.
Limits of rational maps, R-trees and barycentric extension, Adv. Math., 394:108075, 2021.
On the inhomogeneity of Mandelbrot set, Int. Math. Res. Not. IMRN, 2021(8):6051–6076, 2021.
Lower bounds on the F-pure threshold and extremal singularities, with Z. Kadyrsizova, J. Kenkel, J. Page, J. Singh, K. E. Smith, and A. Vraciu, to appear in Transactions of the American Mathematical Society
Frobenius powers, with D. Hernández and P. Teixeira, Mathematische Zeitschrift 296 (2020), no. 1-2, 541-572
Connectedness and Lyubeznik numbers, with L. Núñez-Betancourt and S. Spiroff, International Mathematics Research Notices 2019 (2019), no. 13, 4233-4259
Local cohomology with support in ideals of maximal minors and sub-maximal Pfaffians, with C. Raicu and J. Weyman, Advances in Mathematics 250 (2014), 596-610.
Local cohomology with support in ideals of maximal minors, Advances in Mathematics 231 (2012) 1998-2012
Curvature estimates for stable minimal surfaces with a common free boundary. Calc. Var. 61, 138 (2022). https://doi.org/10.1007/s00526-022-02226-3
Uniformization of surfaces with boundary and the application to the triple junction surfaces with negative Euler characteristic, submitted, arXiv:2110.12656, 2021.
Index of Embedded Networks in the Sphere, submitted, arXiv:2110.12653, 2021.
Rational singularities of nested Hilbert schemes (with Alessio Sammartano) (arxiv.2109.09002)
The fiber-full scheme (with Yairon Cid-Ruiz) (arxiv.2108.13986)
On the tangent space to the Hilbert scheme of points in P^3 (with Alessio Sammartano), Transactions of the American Mathematical Society 375: 6179-6203 (2022).
The Hilbert scheme of a pair of linear spaces, Mathematische Zeitschrift 300: 493-540 (2022)
On the smoothness of lexicographic points on Hilbert schemes (with Alessio Sammartano), Journal of Pure and Applied Algebra 226: Article 106872 (2022)
Balance constants for Coxeter groups, with Yibo Gao. Preprint (2020).
Spherical Schubert varieties and pattern avoidance. Selecta Mathematica (2022).
Stable characters from permutation patterns, with Christopher Ryba. Selecta Mathematica (2021).
Separable elements and splittings of Weyl groups, with Yibo Gao. Advances in Mathematics (2020).
A combinatorial sl(2)-action and the Sperner property for the weak order, with Yibo Gao. Proceedings of the American Mathematical Society (2020).