Research

Publications and Preprints:

1. 1. • 1.  Invariant vector bundles and Hitchin systems. (with Z. Ouares). Bulletin des sciences mathématiques. Volume 205, December 2025, 103687.  arXiv.

        2. Hecke transformation for orthogonal bundles over curves. (with C. Pauly). Submitted. arXiv.

        3. Strange duality at level one for alternating vector bundles. Journal of Geometry and Physics, Volume 207, 2025. arXiv.

        4. Conformal embedding and twisted theta functions at level one. (with S. Mukhopadhyay). Proceedings of the American Mathematical Society. 2018. pdf. 

        5. On very stability of principal G-bundles. 2018, Geometriae Dedicata. Published version. arXiv.

        6. Moduli spaces of anti-invariant vector bundles and twisted conformal blocks. Math. Res. Lett. Volume 26, Number 6, 1849–1875, 2019. arXiv.

        7. Moduli spaces of anti-invariant vector bundles over a curve.  Manuscripta Math, 160(1), 79-97. arXiv. Published version.

        8. Hitchin systems for invariant and anti-invariant vector bundles. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 375, Number 5, May 2022, Pages 3665–3711. arXiv.

        9. On the principally polarized abelian varieties with m-minimal curves. (with A. Sauvaget and J.Shin-Yao), Le Matematiche, Vol. LXXII (2017), pp.87-98. Published version.

Ongoing project

1. Properness of the Hitchin fibration for the anti-invariant vector bundles. (with Christian PAULY) (ongoing project).

2. Moduli spaces of orthogonal bundles and theta functions. (ongoing project).

Theses:

• Ph.D thesis: Moduli spaces of anti-invariants vector bundles over curves and conformal blocks. LJAD, UNS, France. Pdf.

• Master 2 thesis: Configurations of m points in projective space. LJAD, UNS, France. L'exposé (Fr).

• Bachelor thesis: Proof of Bézout intersection theorem. University of EL Oued. Algeria.