Geometric measure theory and its applications

logo ANR GEOMETRYA is a research project financed by Agence Nationale de la Recherche, 2013-2017.


Hervé Pajot
Institut Fourier
Université de Grenoble 1
100 rue des Maths BP 74
F 38 402 Saint-Martin d'Hères Cedex,

e-mail : herve.pajot(at)
Tél : 33 (0)4 76 51 46 40
Fax : 33 (0)4 76 51 44 78


We shall address several problems within the framework of geometric measure theory, from both theoretical and numerical viewpoints. Our project is divided into 5 topics :

  • Geometric measure theory in singular metric spaces
  • Plateau problems
  • Around the Mumford-Shah functional
  • Irrigation and branched transport
  • Around the Willmore energy

The particularity of our project is to bring together pure and applied mathematicians, working in different areas: Geometric analysis, geometric measure theory, calculus of variations, numerical analysis, optimal transportation, scientific computing, and image processing. This diversity is a keypoint to tackle, with different but complementary approaches, the various issues raised in our project.