E. Caputo: Existence and uniqueness of parallel transport on non-collapsed $\mathsf{RCD}(K,N)$ spaces (Ph.D. Thesis) 2021 E. Caputo, N. Gigli, E. Pasqualetto: Parallel transport on non-collapsed $\mathsf{RCD}(K,N)$ spaces Journal für die reine und angewandte Mathematik (Accepted Paper) http://arxiv.org/abs/2108.07531 2021 E. Caputo, T. Rossi: First-order heat content asymptotics on ${\sf RCD}(K,N)$ spaces Nonlinear Analysis 2023 E. Caputo, J. Koivu, T. Rajala: Sobolev, BV and perimeter extensions in metric measure spaces Annales Fennici Mathematici 2023 E. Caputo, M. Lui, E. Pasqualetto, I. Vojnovi: On the integration of Banach modules and its applications to vector calculus on ${\sf RCD}$ spaces Revista Matemática Complutense 2023 E. Caputo, N. Cavallucci: Sobolev spaces via chains in metric measure spaces (Preprint) http://arxiv.org/abs/2408.15071 p. 49, 2024 E. Caputo, N. Cavallucci: Poincaré inequality and energy of separating sets Advances in Calculus of Variations (Accepted Paper) http://arxiv.org/abs/2401.02762 2024 E. Caputo, A. Gerolin, N. Monina, L. Portinale: Quantum optimal transport with convex regularization (preprint) http://arxiv.org/abs/2409.03698 2024 E. Caputo, N. Cavallucci: A geometric approach to Poincaré inequality and Minkowski content of separating sets Int. Math. Res. Not. 2024 E. Caputo, J. Koivu, D. Lui, T. Rajala: Closed BV-extension and $W^{1,1}$-extension sets (preprint) http://arxiv.org/abs/2503.15716 2025 E. Caputo: Geometric characterizations of ${\sf PI}$ spaces: an overview of some modern techniques (Submitted Paper) http://arxiv.org/abs/2501.19132 2025