Employment

Education

Publications

• Giuliano Basso, Denis Marti, Stefan Wenger, Geometric and analytic structures on metric spaces homeomorphic to a manifold, Duke Math. J. 174 (2025), no. 9, 1723–1773.
• Denis Marti, Elefterios Soultanis, Characterization of metric spaces with a metric fundamental class, submitted, arXiv:2412.15794.
• Denis Marti, The Lipschitz-volume rigidity problem for metric manifolds, accepted in the Journal of Geometric Analysis, arXiv:2501.05974.
• Denis Marti, The metric fundamental class of non-orientable manifolds and manifolds with boundary, submitted, arXiv:2602.23322.
• Denis Marti, One-dimensional and codimension one homology of metric manifolds, submitted, arXiv:2602.18179.
• Toni Ikonen, Denis Marti, Noa Vikman, Systolic inequalities for metric surfaces via filling minimality, submitted, arXiv:2607.22290.
• Nicola Cavallucci, Denis Marti, Andrea Mondino, Raquel Perales, Orientability of metric manifolds and metric spaces with curvature bounds, preprint, arXiv:2610.03968.

Academic activities

• Member of the Organizing Committee of the CUSO Graduate Colloquium 2023 at the University of Fribourg.
• Member of the Organizing Committee of the SMS Doctoral Day 2022 and SMS Doctoral Day 2025 at the University of Fribourg.
• PhD Student Representative of Conférence universitaire de Suisse occidentale (CUSO) for the University of Fribourg, since 2023.

Prizes

• Faculty Prize in Theoretical Sciences for the best Master's thesis of the 2021 academic year. Master thesis: An analysis of differentiability, rectifiability and currents in and outside Euclidean space, supervised by Prof. Dr. Stefan Wenger.
• Birkäuser prize for the best talk at the CUSO Graduate Colloquium in Bern, 2024.
• Prize for outstanding achievements in philosophy, Collège St. Michel, Fribourg, 2015.

Teaching & outreach

• Teaching Assistant at the University of Fribourg, responsible for teaching analysis, linear algebra, propedeutic analysis and a seminar on optimal mass transport.
• Preparatory course in mathematics, University of Fribourg, 2024 & 2025.
• Speaker and organizer at outreach events: TecDay, Science for Youth, Explora and National Future Day.

Personal skills

• Languages: (Swiss) German — native, English — proficiency, French — proficiency, Italian — intermediate
• Programming: LaTeX, Python, Mathematica, R