个人简介

研究兴趣

• 双曲几何、克莱因群、泰希米勒理论、万有泰希米勒理论、反德西特几何、低维拓扑、希格斯丛

教育经历

• 2020 - 2024 | 卢森堡大学 | 数学 | Ph.D | Thesis title: On the Weyl Problem for Unbounded Surfaces in Hyperbolic and Anti-de Sitter Spaces | (Supervisor: Jean-Marc Shlenker)
• 2019 - 2020 | 蔚蓝海岸大学 | 基础数学与应用数学 | M.Sc. | Thesis title: On degree of non-analyticity of a semi-algebraic function | (Supervisor: Adam Parusinski)
• 2018 - 2019 | 胡阿里·布迈丁科技大学 | 数学与应用数学 | First year master
• 2015 - 2018 | 胡阿里·布迈丁科技大学 | 基础数学 | B.Sc. | Thesis title: Fuchsian groups | (Supervisor: Mehdi Belraouti)

工作经历

• 2025 - -- | BIMSA | 博士后
• 2024 - 2025 | 奥赛数学实验室 | 教学和研究助理

出版物

• [1] FARID DIAF, ABDERRAHIM MESBAH, AND NATHANIEL SAGMAN, Domination between non-Fuchsian representations and anti-de Sitter geometry (2025)
• [2] A Mesbah, The prescribed metric on the boundary of convex subsets of anti-de Sitter space with a quasi-circle as ideal boundary, The Journal of Geometric Analysis (2025)
• [3] Abderrahim Mesbah, Embedded convex surfaces in hyperbolic and anti-de Sitter spaces (2025)
• [4] A Mesbah, The induced metric and bending lamination on the boundary of convex hyperbolic 3‐manifolds, Journal of Topology, 18(3), e70031 (2025)
• [5] M Belraouti, A Mesbah, L Messaci, Asymptotic behavior of Moncrief Lines in constant curvature space‐times, Bulletin of the London Mathematical Society, 57(5), 1347-1359 (2025)
• [6] A MESBAH, On the Weyl Problem for Unbounded Surfaces in Hyperbolic and Anti-de Sitter Space, Unilu-University of Luxembourg [Science, Technology and Medicine] (2024)