Gabriel Pallier

Fakultät für Mathematik
Institut für Algebra und Geometrie

Office: 1.015

E-mail: name.surname A



I am currently a postdoc in mathematics at the Karlsruher Institut für Technologie, in the group led by JProf. Claudio Llosa Isenrich, and associated to the Research Training Group 2229 Asymptotic Invariants and Limits of Groups and Spaces based in Heidelberg and Karlsruhe. Previously I was in Sorbonne université in Paris, and before that in Fribourg and Pisa, in the ERC Geomeg. I achieved my PhD under the supervision of Prof. Pierre Pansu in the Université Paris-Saclay in 2019. It was motivated by the work and questions of Yves Cornulier.

Here is a cv, and an academic family picture.

New: Online reading seminar on the works of Kleiner, Müller and Xie (February- April 2023), co-organized with Francesca Tripaldi.


Interests Geometric group theory, and especially the large-scale geometry of connected Lie groups and their lattices. I have local interests in Riemannian geometry, and in dynamics on homogeneous spaces as well. short version.

Publications and preprints


Some selected presentations and posters

  • [slides] Sublinear coarse structures and Lie groups (YGGT Lightning talk, 2021)
  • [notes, Slides] Dehn functions of nilpotent groups
  • [slides (long)] Géométrie à grande échelle des groupes de Lie de courbure négative (Marseille, 2019).
  • [slides (short)] Sublinearly quasisymmetric homeomorphisms (Jyväskylä, 2019).
  • [poster] Large-scale sublinearly Lipschitz geometry of hyperbolic spaces (Rennes 2017)
  • [poster] Invariants for sublinear bilipschitz equivalence (Oxford 2019).

Some presentations of my research to a general mathematical audience

Reviews for Zentralblatt and Mathematical Reviews (the latter requires access to MathSciNet).

Translation and notes on P. Pansu's Carnot-Carathéodory metrics and quasiisometries of rank one symmetric spaces.


Almost all the teaching material I produced is available only in French and can be found on the French version of this webpage.

Other mathematical writings

Includes some writings in French.


Geodesic flow on a homogeneous space

Uniform polyhedra and polytopes

Nilpotent Lie algebras of small dimension (better on a large screen)

Société mathématique de France.
Revue de presse d'Image des maths (mensuelle).
Femmes et maths.

Last update: May 2023.