Continuity equation on metric spaces via measure-valued derivations and BV-Wasserstein curves
Preprint
Publications
My research is also available on arXiv, Google Scholar and Zbmath.
On the rigidity of Wasserstein contraction along heat flows
Preprint
Synthetic notions of Ricci flow for metric measure spaces
Journal of Functional Analysis
Absolutely continuous and BV-curves in 1-Wasserstein spaces
Calculus of Variations and Partial Differential Equations
Real title: BV curves in $1$-Wasserstein spaces I: a metric superposition principle à la Lisini
The globalization theorem for CD(K,N) on locally finite spaces
Annali di Matematica Pura ed Applicata
Other writings
Optimal transport and (dynamic) synthetic curvature bounds on metric measure spaces
Publikationen an der Universität Bielefeld
Doctoral Dissertation. Defense date: February 5, 2026.
Synthetic approaches to Ricci flows
Report for SPP 2026 – Geometry at Infinity
This is the second paper in our series: “BV Curves in $1$-Wasserstein spaces II: continuity equation via measure-valued derivations.”