My research lies at the crossroads of analysis, geometry, and dynamics. It primarily focuses on the study of dynamical systems arising from geometry—such as the geodesic or frame flow—through the lens of high-frequency techniques, including semiclassical and microlocal analysis. Developed since the 1970s through the foundational work of Hörmander and others, these tools have recently led to striking advances in geometric problems.
I am also broadly interested in rigidity phenomena in Riemannian geometry, such as boundary rigidity, marked length spectrum rigidity, holonomy rigidity, and related questions.
THIBAULT LEFEUVRE 