About
Professor Salah Mehdi is a distinguished mathematician at the University of Lorraine, where he serves as Head of the Analysis and Number Theory research team at the Institut Elie Cartan de Lorraine (IECL), a joint research unit (UMR 7502) of the CNRS. He also holds an Adjunct Professor position at Georgia Tech Europe. Previously, he has held positions at the University of Paris Ouest and has had visiting appointments at prestigious institutions worldwide including New York University Abu Dhabi, Oklahoma State University, Mathematisches Institut in Göttingen, and Tata Institute of Fundamental Research in Mumbai.
Professor Mehdi completed his doctoral thesis in mathematics at Denis Diderot University - Paris VII in December 1996, followed by his accreditation to supervise research (Habilitation) in December 2004. His academic journey has included two full-time delegations to the CNRS (2012 and 2019-2020) and leadership roles including heading the mathematics department of the UFR MIM at the University of Lorraine (2014-2018).
His research focuses on the deep connections between harmonic analysis on Lie groups, representation theory, and mathematical physics. Professor Mehdi's work spans Dirac operators on homogeneous spaces, Dirac cohomology, nilpotent orbits, quantization, and the spectral theory of locally symmetric spaces. His approach combines algebraic, geometric, and analytic techniques to address fundamental questions in modern mathematics. He has published 39 research papers with recent work concentrating on Dirac cohomology and its relationship to Howe's Θ-correspondence, approximation of nilpotent orbits, and the spectrum of semisimple locally symmetric spaces.
Professor Mehdi actively contributes to the mathematical community through organizing international conferences such as 'Excursions in Mathematical Physics' (2024), 'Representation Theory and harmonic analysis' (2023), and 'Groups and representations' (2024), which honor prominent mathematicians in his field. As head of the Analysis and Number Theory team, he leads a vibrant research group of approximately fifty members including doctoral students, fostering the next generation of mathematicians in Lie theory and related areas.
His research has significant implications for theoretical physics, particularly in understanding the mathematical structures underlying quantum mechanics and particle physics. Professor Mehdi continues to be an active contributor to both pure mathematics and its applications, maintaining collaborations with leading researchers worldwide including Pavle Pandžić, David Vogan, and Martin Olbrich.
