Research works "Je pense que chaque œuvre, chaque chose, a sa difficulté, qui est très personnelle. [...] Quand je commence à travailler quelque-chose, pour moi c'est difficile !" (Martha Argerich)

Here, you will find my research papers that are either published, or submitted to scientific reviews. You may also find my PhD thesis manuscript.
Have a nice time reading!

Publications

• Fundamental polytope for the isometry group of an alcove (with L. Seco and K.-H. Neeb)
  Journal of Algebra 683 (2025) 633-671
  arXiv:2501.01654
• Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm (with E. Battista)
  European Physical Journal C 85-284 (2025)
  arXiv:2502.10053
• Particle dynamics in spherically symmetric electro-vacuum instantons
  European Physical Journal C 84-374 (2024)
  arXiv:2401.15809
  Associated Python library.
• Equivariant triangulations of tori of compact Lie groups and hyperbolic extension to non-crystallographic Coxeter groups
  Journal of Algebra 635 (2023) 527-576
  arXiv:2105.00237
• Motion equations in a Kerr-Newman-de Sitter spacetime: some methods of integration and application to black holes shadowing in Scilab
  Classical and Quantum Gravity 40-13 (2023)
  arXiv:2307.04073
  Associated Python library.
• Cellularization for exceptional spherical space forms and the flag manifold of \(SL_3(\mathbb{R})\) (with R. Chirivì and M. Spreafico)
  Expositiones Mathematicae 40-3 (2022) 572-604
  arXiv:2006.14417

Preprints

• Fundamental polytope for the Weyl group acting on a maximal torus of a compact Lie group. (2024)
  Submitted
• Dirichlet-Voronoi domain and injectivity radius of flag manifolds - equivariant cell structures on \(O(3)/O(1)^3\) (2023)
  Accepted

My PhD thesis

• Equivariant cellular models in Lie theory
  Defended on December 10, 2021