Pablo Mira

Catedrático de Universidad (Full Professor).

Universidad Politécnica de Cartagena (Spain).

Research interests:

Geometric Analysis, with a special emphasis on two-dimensional problems, complex analysis, constant mean curvature surfaces and geometrics PDEs.

You can reach me at: pablo.mira@upct.es

Selected Results

  • end2021

    The classification of constant mean curvature spheres in homogeneous three-manifolds

    with W.H. Meeks III, J.Pérez, A.Ros, Invent. Math. (2021)     PDF

  • end2020

    Proof of Alexandrov's conjecture on immersed spheres in R^3 of prescribed curvatures

    with J.A.Gálvez, J. Diff. Geom. (2020)   PDF

  • end2020

    The classification of constant mean curvature spheres in homogeneous three-spheres

    with W.H. Meeks III, J.Pérez, A.Ros, J. Diff. Geom.   PDF

  • end2015

    The classification of isolated singularities of elliptic Monge–Ampère equation in dimension two

    with J.A.Gálvez and A.Jimenez, Comm. Pure Appl. Math. (2015)     PDF

  • Present2009

    The solution to the Bernstein problem in Heisenberg space on entire minimal graphs

    with Isabel Fernández, Tran. Amer. Math. Soc. (2009)  PDF

  • Present2009

    A solution to the Christoffel-Minkowski problem in hyperbolic space via Nirenberg problem

    with J.M. Espinar and J.A. Gálvez, J. Eur. Math. Soc. (2009)  PDF

  • Present2005

    The classification of solutions to det(D^2u)=1 in the finitely punctured plane

    with J.A. Gálvez and A. Martínez, J.  Math. Pures Appl. (2005)  PDF

Service to the Math Community

  • Member of the Executive Board and the Scientific Commission of the Spanish Royal Mathematical Society (2013-2019)
  • Member of the Women in Mathematics Committee, European Mathematical Society (2019-present)
  • Member of the Editorial Board of the Springer-RSME series (2014-present)
  • External evaluator, European Research Council.
  • Expert evaluator, Agencia Estatal de Investigación