OVERVIEW
ROLES AT IMM
2026
IMM International Faculty
Algebraic Topology
Course
Algeria
Spring
ABOUT ME
Current involvements
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.
I am part of the MathWin Project. MathWin is a collaborative initiative to help young talented students, primarily from developing countries, enhance their skills in Mathematics. It is a virtual platform where we offer different activities to these students, such as tutoring, reading groups, and courses. The objective is to help them improve their problem-solving skills, and provide them with the tools needed to integrate into high-quality mathematical training programs.
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.
CURRICULUM
from 2025 to 2026
IMM International Faculty, National Higher School of Mathematics (NHSM)
Algeria
from 2023 to Present
Postdoctoral Fellow, University of Granada
Spain
from 2022 to 2023
Assistant Professor, University of Lyon
France
from 2017 to 2020
Assistant Professor, Université de Bordeaux
France
MORE INFORMATION
Research interests
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
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.
Papers
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Conformal quotients of plane waves, and Lichnerowicz conjecture in a locally homogeneous setting. Hal (2025).
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On completeness of foliated structures, and null Killing fields. Joint with M. Hanounah. arXiv (2024), Mathematische Annalen (Link) (2025).
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On homogeneous plane waves. Joint with M. Hanounah and A. Zeghib. arXiv (2023), J. Math. Phys. PDF (Link) (2025).
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Topology and Dynamics of compact plane waves. Joint with M. Hanounah, I. Kath and A. Zeghib. arXiv (2023), Crelle's Journal PDF (Link) (2025).
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On completeness and dynamics of compact Brinkmann spacetimes. Joint with A. Zeghib. arXiv (2022), Jour. Diff. Geometry, to appear.
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Maximal simply connected Lorentzian surfaces with a Killing field and their completeness. arXiv (2020), Mathematische Zeitschrift (Link)
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On the existence and stability of two-dimensional Lorentzian tori without conjugate points. arXiv (2019), Geometriae Dedicata (Link)