Publicacions en què col·labora amb JOAQUÍN PÉREZ MUÑOZ (21)

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

2018

  1. The local picture theorem on the scale of topology

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

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

2010

  1. Limit leaves of an h lamination are stable

    Journal of Differential Geometry, Vol. 84, Núm. 1, pp. 179-189

2006

  1. Liouville-type properties for embedded minimal surfaces

    Communications in Analysis and Geometry, Vol. 14, Núm. 4, pp. 703-723

2004

  1. The geometry of minimal surfaces of finite genus I: Curvature estimates and quasiperiodicity

    Journal of Differential Geometry, Vol. 66, Núm. 1, pp. 1-45

  2. The geometry of minimal surfaces of finite genus II; nonexistence of one limit end examples

    Inventiones Mathematicae, Vol. 158, Núm. 2, pp. 323-341

  3. The periodic isoperimetric problem

    Transactions of the American Mathematical Society, Vol. 356, Núm. 5, pp. 2025-2047

2002

  1. Properly embedded minimal annuli bounded by a convex curve

    Journal of the Institute of Mathematics of Jussieu, Vol. 1, Núm. 2, pp. 293-305

1999

  1. The space of complete minimal surfaces with finite total curvature as lagrangian submanifold

    Transactions of the American Mathematical Society, Vol. 351, Núm. 10, pp. 3935-3952

1998

  1. Uniqueness of the Riemann minimal examples

    Inventiones Mathematicae, Vol. 133, Núm. 1, pp. 107-132

1996

  1. The space of properly embedded minimal surfaces with finite total curvature

    Indiana University Mathematics Journal, Vol. 45, Núm. 1, pp. 177-204