My research interest is at the intersection of statistics, differential geometry, computer science and medicine. I am particularly interested in the mathematics involved in computational anatomy: geometric statistics involve statistical computing on Riemannian manifolds and other geometric structures (Lie groups, quotient spaces, stratified spaces, information geometry...). I contributed mathematically grounded methods and algorithms for medical image registration, statistics on shapes, and their translation to clinical research applications.

Geometric Statistics
Medical image registration
Demonology (contributions to the demon's algorithm)
Hierarchical locally affine deformations (Polyaffine)
4D morphometry
Shape statistics with Currents
Measuring and modeling brain atrophy in Alzheimer's disease