Research

Papers
1) E. Caputo, N. Gigli and E. Pasqualetto, Parallel transport on non-collapsed RCD(K,N) spaces. Preprint (2021), 56 pp. arXiv (submitted).

2) E. Caputo, T. Rossi, First order heat content asymptotics on RCD(K,N) spaces. Nonlinear Analysis, 238, Article 113385,  (2024). arXiv (46pp).

3) E. Caputo, J. Koivu, T. Rajala, Sobolev, BV and perimeter extension in metric measure spaces. Ann. Fenn. Math. Issue Vol.49, No. 1 (2024), arXiv (31 pp).

4) E. Caputo, M, Lučić, E. Pasqualetto, I. Vojnović, On the integration of Banach modules and its applications to vector calculus on RCD spaces. Revista Matemática Complutense (2024), arXiv (22 pp).

5) E. Caputo, N. Cavallucci, Poincaré inequality and energy of separating sets. Preprint (2024), 37 pp, arXiv (submitted).

6) E. Caputo, N. Cavallucci, A geometric approach to Poincaré inequality and Minkowski content of separating sets. Preprint (2024), 38 pp, arXiv (submitted).

PhD thesis: Existence and uniqueness of parallel transport on non-collapsed RCD(K,N) spaces. Available at the following link.

Lecture notes

I wrote, together with Maicol Caponi, the lecture notes of the course 'BV functions' given by Prof. Dal Maso (in SISSA) in AY 2018-2019. If you are interested, contact me by email.

List of coauthors (in alphabetic order)