Publications

1. Topology and Dynamics of compact plane waves, with I. Kath, L. Mehidi and A. Zeghib, arXiv (2023), Crelle's Journal (2024), pdf.
2. On homogeneous plane waves, with L. Mehidi and A. Zeghib, arXiv (2023),
   J. Math. Phys (2025), pdf, link.
3. On completeness of foliated structures, and null Killing fields, with L. Mehidi, arXiv (2024),
   Mathematische Annalen (2025), pdf, link.
4. Completeness of compact locally symmetric Lorentz manifolds, with S. Allout, arXiv (2025), submitted.
5. On completeness of certain locally symmetric pseudo-Riemannian manifolds of signature (2,2), arXiv (2025), submitted.
6. Completeness of closed Kleinian flat Pseudo-Riemannian Manifolds of Signature (2,2), with F. Diaf and B. Galiay, arXiv (2026), submitted.

Other documents

• My PhD thesis can be found here.

Talks

• Differential geometry research seminar, Hamburg: On completeness compact locally symmetric spaces of signature (2,2) (17/11/2025), site.
• BIRS-IMAG: Geometry, Analysis, and Physics in Lorentzian Signature, Granada: On geometry and topology of locally homogeneous plane waves and beyond (06/05/2025), site, slides.
• CIRM school geometric structures and discrete group actions, Marseille: Completeness of compact locally symmetric Lorentz manifolds (14/04/2025), site, slides.
• RSME's 7th Congress of Young Researchers Bilbao: A Bieberbach theorem for compact locally homogeneous plane waves (16/01/2025), site, slides.
• Algebra, Geometry and Topology seminar, Greifswald: Foliated geometric structures, symmetric spaces and completeness (16/10/2024), site.
• Tassili Sunday Maths Seminar (TSMS): Foliated geometric structures (09/06/2024), site.

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