Denis Marti

I am a postdoctoral researcher at the University of Fribourg. My research lies at the intersection of metric geometry and geometric measure theory. I am interested in the existence and applications of integrals in metric spaces, particularly in spaces that are homeomorphic to smooth manifolds.

Publications

Geometric and analytic structures on metric spaces homeomorphic to a manifold

Giuliano Basso, Denis Marti, Stefan Wenger · Duke Math. J. 174 (2025), no. 9, 1723–1773 ·
Characterization of metric spaces with a metric fundamental class

Denis Marti, Elefterios Soultanis · arXiv:2412.15794 ·
The Lipschitz-volume rigidity problem for metric manifolds

Denis Marti · accepted in the Journal of Geometric Analysis · arXiv:2501.05974 ·
The metric fundamental class of non-orientable manifolds and manifolds with boundary

Denis Marti · arXiv:2602.23322 ·
One-dimensional and codimension one homology of metric manifolds

Denis Marti · arXiv:2602.18179 ·
Systolic inequalities for metric surfaces via filling minimality

Toni Ikonen, Denis Marti, Noa Vikman · arXiv:2607.22290 ·
Orientability of metric manifolds and metric spaces with curvature bounds

Nicola Cavallucci, Denis Marti, Andrea Mondino, Raquel Perales · arXiv:2610.03968 ·

Contact

Department of Mathematics, University of Fribourg
Chemin du Musée 23, 1700 Fribourg, Switzerland
denis.marti@unifr.ch