Lilia Mehidi


Since October 2023, I am a postdoctoral fellow at the University of Granada and member of the IMAG, where I work with Miguel Sanchez Caja.


Before that, I spent 2+1 years as a postdoc at the Unité de Mathématiques Pures et Appliquées (UMPA) of the ENS Lyon, where I worked with Abdelghani Zeghib. 


I defended my PhD in December 2019 at the University of Bordeaux (IMB) under the supervision of Christophe Bavard. In my PhD thesis, I studied conjugate points of Lorentzian metrics, with the objective to understand whether the absence of conjugate points in Lorentzian signature allows rigidity phenomena.



I am interested in Lorentzian geometry, following different aspects:

  • Geodesic flows (completeness and conjugate points)
  • The geometry of Brinkmann spacetimes (and special subfamilies: pp-waves, plane waves)
  • Compact quotients of homogeneous spaces




    • Upcoming events:

    Geometry, Analysis, and Physics in Lorentzian Signature, 5-9 May 2025, Granada.




    Contact

    Email: lilia.mehidi@ugr.es