Publicaciones en colaboración con investigadores/as de University of Massachusetts Amherst (27)

2024

  1. Geometry of branched minimal surfaces of finite index

    Advanced Nonlinear Studies

2023

  1. Geometry of CMC surfaces of finite index

    Advanced Nonlinear Studies, Vol. 23, Núm. 1

  2. Hierarchy structures in finite index CMC surfaces

    Advances in Calculus of Variations

2022

  1. CONSTANT MEAN CURVATURE SPHERES IN HOMOGENEOUS THREE-SPHERES

    Journal of Differential Geometry, Vol. 120, Núm. 2, pp. 307-343

2021

  1. Constant mean curvature spheres in homogeneous three-manifolds

    Inventiones Mathematicae, Vol. 224, Núm. 1, pp. 147-244

  2. The embedded Calabi–Yau conjecture for finite genus

    Duke Mathematical Journal, Vol. 170, Núm. 13, pp. 2891-2956

2020

  1. Structure theorems for singular minimal laminations

    Journal fur die Reine und Angewandte Mathematik, Vol. 2020, Núm. 763, pp. 271-312

2019

  1. Bounds on the topology and index of minimal surfaces

    Acta Mathematica, Vol. 223, Núm. 1, pp. 113-149

  2. Embedded minimal surfaces of finite topology

    Journal fur die Reine und Angewandte Mathematik, Vol. 2019, Núm. 753, pp. 159-191

  3. The geometry of stable minimal surfaces in metric lie groups

    Transactions of the American Mathematical Society, Vol. 372, Núm. 2, pp. 1023-1056

2018

  1. The local picture theorem on the scale of topology

    Journal of Differential Geometry, Vol. 109, Núm. 3, pp. 509-565

2017

  1. Embeddedness of Spheres in Homogeneous Three-Manifolds

    International Mathematics Research Notices, Vol. 2017, Núm. 15, pp. 4796-4813

  2. Finite topology minimal surfaces in homogeneous three-manifolds

    Advances in Mathematics, Vol. 312, pp. 185-197

  3. Finite type annular ends for harmonic functions

    Mathematische Annalen, Vol. 367, Núm. 3-4, pp. 1047-1056

2016

  1. Local removable singularity theorems for minimal laminations

    Journal of Differential Geometry, Vol. 103, Núm. 2, pp. 319-362

  2. The Dynamics Theorem for properly embedded minimal surfaces

    Mathematische Annalen, Vol. 365, Núm. 3-4, pp. 1069-1089

  3. The classification of CMC foliations of ℝ3 and 𝕊3 with countably many singularities

    American Journal of Mathematics, Vol. 138, Núm. 5, pp. 1347-1382

2015

  1. Properly embedded minimal planar domains

    Annals of Mathematics, Vol. 181, Núm. 2, pp. 473-546

2014

  1. Isoperimetric domains of large volume in homogeneous three-manifolds

    Advances in Mathematics, Vol. 264, pp. 546-592

2012

  1. Calabi-Yau domains in three manifolds

    American Journal of Mathematics, Vol. 134, Núm. 5, pp. 1329-1344