Her main research fields include hyperbolic geometry, geometric group theory, geometry of discrete groups (especially reflection groups, Coxeter groups), convex and polyhedral geometry, volumes of hyperbolic polytopes, manifolds and polylogarithms.
She has been a guest researcher at MSRI, IHES, Mittag-Leffler Institute, the State University of New York at Stony Brook, RIMS in Kyoto, Osaka City University, ETH Zürich, the University of Bern and the University of Auckland.