Farid Diaf

Farid Diaf holds a postdoctoral position in the Department of Mathematics at the University of Strasbourg, where he is affiliated with the Institute of Advanced Mathematical Research (IRMA). He completed his doctoral studies in 2025 at Université Grenoble Alpes under the supervision of Andrea Seppi and Gérard Besson, with a thesis titled "Geodesic laminations, Anti-de Sitter geometry and geometric transition". His current research continues to explore the deep connections between geometric structures in low-dimensional spaces.

Education:

• PhD in Mathematics, Université Grenoble Alpes, 2025. Thesis: "Geodesic laminations, Anti-de Sitter geometry and geometric transition".

Diaf's research is centered on Teichmüller theory, geometric structures, and specifically anti-de Sitter and hyperbolic geometries. He has made significant contributions to understanding geometric transitions, such as the transition from hyperbolic to anti-de Sitter geometry, and the infinitesimal aspects of Teichmüller theory. His work often involves the study of convex core doubles, earthquake theorems, and minimal surfaces, providing new insights into the rigidity and flexibility of geometric structures in three-dimensional manifolds.

His recent publications (2023-2025) demonstrate a cohesive research program focused on the interplay between different geometric structures. Key themes include the transition phenomena between hyperbolic and anti-de Sitter geometries, the application of Teichmüller theory to earthquake theorems, and the exploration of minimal surfaces in Half-Pipe space. Additionally, his work on SL(3,R) Hitchin components and domain of dependence connects to broader questions in representation theory and minimal surface theory.

Scientific Awards:

• No scientific awards were mentioned in the provided text.

Advising and Grants:

The provided text does not include any information regarding doctoral or master's students advised by Diaf, nor does it mention any research grants or funding sources he has secured. His professional activities are primarily focused on research and participation in academic workshops and seminars.

Labs and Teams:

Diaf is a member of the Institute of Advanced Mathematical Research (IRMA) at the University of Strasbourg, a leading research institute in mathematics. He collaborates extensively with researchers in geometric topology, including Andrea Seppi (his PhD co-advisor), Beatrice Pozzetti, and others. He has co-organized workshops, such as the 2025 workshop on Universal Teichmüller Theory in Aussois, France, and participates in international conferences and seminars, contributing to a vibrant global research network in low-dimensional geometry and topology.