Professor Emmanuel Royer, Professor at the Université Clermont Auvergne (University of Clermont Auvergne) in France and Director of the CRM–CNRS International Research Laboratory, visited the Macau University of Science and Technology (MUST) on 14 October 2026, where he was warmly received by Professor Qian Tao, Director of the Macao Centre for Mathematical Sciences at MUST, and Associate Professor Xiao Xuanxuan, Associate Director of the Macao Centre for Mathematical Sciences.
Professor Emmanuel Royer (second from right) with Professor Tao Qian (first from right).
During the visit, Professor Emmanuel Royer presented his latest research findings, obtained in collaboration with Sébastien Darses and Berend Ringeling. The work extends a family of objects and properties originally introduced and studied by Lewis and Zagier—including Eisenstein series and period functions—to Dirichlet L-functions associated with arbitrary primitive characters. It also continues and broadens the work of Bettin and Conrey on the Riemann zeta function, as well as the recent studies by Lewis and Zagier on odd real characters.
Professor Emmanuel Royer delivering his academic lecture.
Professor Emmanuel Royer is currently a Professor at the Université Clermont Auvergne, a researcher of the French National Centre for Scientific Research (CNRS), and Director of the France–Canada CRM–CNRS International Research Laboratory. He received his doctorate from Université Paris-Saclay in 2001, taught at Université Paul-Valéry Montpellier, and joined the Université Clermont Auvergne as Professor in 2006. In the course of his career he has served as Director of the Blaise Pascal Mathematics Laboratory and, from 2018 to 2023, as Deputy Scientific Director of the CNRS. Since September 2024, Professor Royer has served as Director of the CRM–CNRS. His main research interests include modular forms and their generalizations, together with L-functions, approached from both the analytic and the algebraic points of view.
The event also featured a lecture by Dr Ren Hu of Great Bay University, entitled “Szegő–Radon Transforms for Stein–Weiss Systems: The Rank-One Theory.” The talk addressed reconstruction problems in Stein–Weiss systems and established a generalized framework for Szegő–Radon transforms. The results reveal, from the perspective of representation theory, the connections between Radon-type transforms, projective geometry, and the structure of reproducing kernels.
Professor Emmanuel Royer’s visit was intended to promote academic exchange between the Macau University of Science and Technology and the Université Clermont Auvergne in mathematics and related interdisciplinary fields, and to explore further international cooperation in both teaching and research.
