Marc Rouveyrol

Marc Rouveyrol is a postdoctoral researcher in Sebastian Herr's group at the University of Bielefeld. Previously, he completed his PhD at the Laboratoire de Mathématiques d'Orsay, Paris-Saclay University, under the supervision of Nicolas Burq, defending his thesis on June 27, 2025.

His educational background includes:

• PhD in Mathematics from Paris-Saclay University (defended June 2025)

Rouveyrol's research focuses on the intersection of partial differential equations, spectral theory, and geometric analysis. His primary interests include control theory for heat and wave equations, particularly examining spectral inequalities on Riemannian manifolds. He investigates the long-time behavior and concentration properties of solutions to PDEs and explores their connections with Riemannian geometry and probability theory, including studies of random initial data and stochastic PDEs. His methodological approach draws from semiclassical analysis, harmonic analysis, and geometric techniques.

Analysis of Rouveyrol's publications reveals a consistent focus on spectral theory and control of PDEs across various geometric settings, with increasing sophistication in handling complex manifolds and non-compact geometries. His work demonstrates significant connections between spectral properties, control theory, and geometric constraints, with applications spanning theoretical mathematics and potential physical systems.

Academic service contributions include:

• Referee for Zeitschrift für Analysis und ihre Anwendungen
• Co-organizer of the PhD analysis seminar at Laboratoire de Mathématiques d'Orsay (2022-2024)
• Regular presenter at international conferences including Microlocal and Global Analysis in Potsdam and Aspect'24 in Metz

Teaching activities encompass undergraduate instruction at Paris-Saclay University in Analysis for non-scientist students, Python programming for scientific computing, and exercise sessions for courses on Integration, differential equations and asymptotic expansions.