Thomas Pierron

I am a PhD student in applied maths at Centre Borelli (ENS Paris-Saclay) under the supervision of Alain Trouvé. Previously, I was a visiting scholar at Florida State University and at John Hopkins University and I worked with Martin Bauer and Nicolas Charon.

My main research interests span infinite dimensional geometry, Lie groups, and shape analysis. More specificaly, I am currently working on Hamiltonian dynamics induced by right-invariant metrics on infinite dimensional and some applications to medical imaging and fluid dynamics. More information about my research and a complete list of my publications can be found on my google scholar page and here

Contact: thomas.pierron@ens-paris-saclay.fr
Follow: Google Scholar ThomasPier LinkedIn Researchgate

News

No news so far...

Selected publications

preprint

The graded group action framework for sub-riemannian orbit models in shape spaces

Thomas Pierron, and Trouvé

Under review, 2024

Bib PDF

@article{GGAmodels,
  title = {The graded group action framework for sub-riemannian orbit models in shape spaces},
  author = {Pierron, Thomas and Trouv{\'e}},
  year = {2024},
  journal = {Under review},
}

JNS

Elastic metrics on spaces of euclidean curves: Theory and algorithms

Bauer Martin, Nicolas Charon, Eric Klassen, and 3 more authors

Journal of Nonlinear Science, 2024

Bib PDF Code

@article{Elastic_metrics,
  title = {Elastic metrics on spaces of euclidean curves: Theory and algorithms},
  author = {Martin, Bauer and Charon, Nicolas and Klassen, Eric and Kurtek, Sebastian and Needham, Tom and Pierron, Thomas},
  year = {2024},
  journal = {Journal of Nonlinear Science},
}

AGAG

On length measures of planar closed curves and the comparison of convex shapes

Nicolas Charon, and Thomas Pierron

Annals of Global Analysis and Geometry, 2024

Bib PDF

@article{planar_closed_shapes,
  title = {On length measures of planar closed curves and the comparison of convex shapes},
  author = {Charon, Nicolas and Pierron, Thomas},
  year = {2024},
  journal = {Annals of Global Analysis and Geometry},
}