Dr Emanuele Caputo
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Emanuele CaputoResearch Fellow |
Organisation
I am organising together with David Bate the conference Geometric measure theory and Metric geometry in Warwick.
Publications
13) E. Caputo, N. Cavallucci, A characterization of snowflakes via rectifiability. Preprint (2025)
12) E. Caputo, F. Nobili, T. Rossi, Comparison estimates on nonsmooth spaces with integrable Ricci lower bounds via localization. Preprint (2025).
11) D. Bate, E. Caputo, J. Takáč, P. Valentine, P. Wald, Structure of metric 1-currents: approximation by normal currents and representation results. Preprint (2025).
10) E. Caputo, D. Lučić, J. Koivu, T. Rajala, Closed BV-extension and W^{1,1}-extension sets. Journal of Functional Analysis, Volume 290, Issue 7, 2026.
9) E. Caputo, Geometric characterizations of PI spaces: an overview of some modern techniques. Indagationes Mathematicae, 2025.
8) E. Caputo, A. Gerolin, N. Monina, L. Portinale, Quantum optimal transport with convex regularization. Journal of Functional Analysis, Volume 290, Issue 4, 2026.
7) E. Caputo, N. Cavallucci, Sobolev spaces via chains in metric measure spaces. Proc. of the Royal Society of Edinburgh: Section A Mathematics, 2025:1-51.
6) E. Caputo, N. Cavallucci, A geometric approach to Poincaré inequality and Minkowski content of separating sets. International Mathematics Research Notices, Volume 2025, Issue 1, January 2025, rnae276.
5) E. Caputo, N. Cavallucci, Poincaré inequality and energy of separating sets. Advances in Calculus of Variations, 2025. .
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 2025.
3) E. Caputo, J. Koivu, T. Rajala, Sobolev, BV and perimeter extension in metric measure spaces. Ann. Fenn. Math. Issue Vol.49, No. 1, 130-165 2023.
2) E. Caputo, T. Rossi, First order heat content asymptotics on RCD(K,N) spaces. Nonlinear Analysis, 238, Article 113385.
1) E. Caputo, N. Gigli and E. Pasqualetto, Parallel transport on non-collapsed RCD(K,N) spaces. Journal für die Reine und Angewandte Mathematik (Crelle's Journal) , vol. 2025, no. 819, 2025, pp. 135-204.