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The Troyanov Group at EPFL focuses on differential geometry, geometric analysis, and geometry on metric spaces. They explore global invariants of Riemann manifolds, finite total curvature, Lipshitz-Killing curvatures, Finslerian geometry, and Hilbert's geometries. Their research delves into various aspects of differential geometry and metric space analysis.
Aude Billard, Iason Batzianoulis
Nicolas Boumal, Christopher Arnold Criscitiello