G. Antonelli, E. Bruè, D. Semola: Volume bounds for the quantitative singular strata of non collapsed RCD metric measure spaces Anal. Geom. Metr. Spaces Vol. 7, N. 1, p. 158--178, 2019 G. Antonelli, E. Le Donne: Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces Nonlinear Analysis (Accepted Paper) http://arxiv.org/abs/1910.12812 Vol. 200, 2020 G. Antonelli, A. Merlo: Intrinsically Lipschitz functions with normal targets in Carnot groups Ann. Acad. Sci. Fenn. Math. (Accepted Paper) http://arxiv.org/abs/2006.02782 2020 G. Antonelli, E. Le Donne: Polynomial and horizontally polynomial functions on Lie groups Annali di Matematica Pura ed Applicata (1923 - ) (Accepted Paper) http://arxiv.org/abs/2011.13665 2020 G. Antonelli, D. Di Donato, S. Don, E. Le Donne: Characterizations of uniformly differentiable co-horizontal intrinsic graphs in Carnot groups Annales de l'Institut Fourier (Accepted Paper) http://arxiv.org/abs/2005.11390 2020 G. Antonelli, D. Di Donato, S. Don: Distributional solutions of Burgers' type equations for intrinsic graphs in Carnot groups of step 2 Potential Analysis (Accepted Paper) http://arxiv.org/abs/2008.00519 2020 G. Antonelli, A. Merlo: On rectifiable measures in Carnot groups: existence of density The Journal of Geometric Analysis (Accepted Paper) http://arxiv.org/abs/2009.13941 2020 G. Antonelli, A. Merlo: On rectifiable measures in Carnot groups: representation Calculus of Variations and Partial Differential Equations (Accepted Paper) http://arxiv.org/abs/2104.00335 p. 43, 2021 G. Antonelli, A. Merlo: Unextendable intrinsic Lipschitz curves Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (Accepted Paper) http://arxiv.org/abs/2105.13873 2021 G. Antonelli, E. Le Donne, S. Nicolussi Golo: Lipschitz Carnot-Carathéodory structures and their limits Journal of Dynamical and Control Systems (Accepted Paper) http://arxiv.org/abs/2111.06789 2021 G. Antonelli, C. Brena, E. Pasqualetto: The Rank-One Theorem on $\mathrm{RCD}$ spaces Analysis & PDE (Accepted Paper) http://arxiv.org/abs/2204.04921 2022 G. Antonelli, A. Merlo: On rectifiable measures in Carnot groups: Marstrand-Mattila rectifiability criterion Journal of Functional Analysis 2022 G. Antonelli: Rectifiability in Carnot groups (Ph.D. Thesis) p. 184, 2022 G. Antonelli, M. Fogagnolo, M. Pozzetta: The isoperimetric problem on Riemannian manifolds via Gromov-Hausdorff asymptotic analysis Communications in Contemporary Mathematics 2022 G. Antonelli, S. Nardulli, M. Pozzetta: The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds ESAIM: COCV 2022 G. Antonelli, E. Pasqualetto, M. Pozzetta: Isoperimetric sets in spaces with lower bounds on the Ricci curvature Nonlinear Analysis 2022 G. Antonelli, E. Bruè, M. Fogagnolo, M. Pozzetta: On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth Calculus of Variations and Partial Differential Equations 2022 G. Antonelli, C. Brena, E. Pasqualetto: Subgraphs of $\rm BV$ functions on $\rm RCD$ spaces Annals of Global Analysis and Geometry 2022 G. Antonelli, E. Pasqualetto, M. Pozzetta, I. Y. Violo: Topological regularity of isoperimetric sets in PI spaces having a deformation property Proc. R. Soc. Edinb., Sect. A, Math. 2023 G. Antonelli, E. Le Donne, A. Merlo: Carnot rectifiability and Alberti representations Proceedings of the London Mathematical Society (Accepted Paper) http://arxiv.org/abs/2302.01376 2023 G. Antonelli, M. Calzi, M. Gordina: Sharp defective log-Sobolev inequalities on H-type groups (preprint) http://arxiv.org/abs/2410.15566 2024 G. Antonelli, M. Pozzetta, K. Xu: A sharp spectral splitting theorem (Preprint) http://arxiv.org/abs/2412.12707 p. 10, 2024 G. Antonelli, M. Fogagnolo, S. Nardulli, M. Pozzetta: Positive mass and isoperimetry for continuous metrics with nonnegative scalar curvature (Preprint) http://arxiv.org/abs/2403.15972 2024 G. Antonelli, F. Glaudo: Nonexistence of isoperimetric sets in spaces of positive curvature Journal für die reine und angewandte Mathematik (Crelle's Journal) (Accepted Paper) http://arxiv.org/abs/2306.13052 2024 G. Antonelli, R. Young: Ergodic quasi-isometries and the cohomology of nilpotent Lie groups (Preprint) http://arxiv.org/abs/2405.18598 2024 G. Antonelli, K. Xu: New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry (Preprint) http://arxiv.org/abs/2405.08918 2024 G. Antonelli, E. Pasqualetto, M. Pozzetta, D. Semola: Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds Mathematische Annalen Vol. 389, N. 2, p. 1677-1730, 2024 G. Antonelli, R. Young: Vertical curves and vertical fibers in the Heisenberg group (Preprint) http://arxiv.org/abs/2411.00232 2024 G. Antonelli, E. Pasqualetto, M. Pozzetta, D. Semola: Sharp isoperimetric comparison on non-collapsed spaces with lower Ricci bounds Annales Scientifiques de l'École Normale Supérieure Vol. 58, N. 1, p. 1-52, 2025 G. Antonelli, M. Pozzetta: Isoperimetric problem and structure at infinity on Alexandrov spaces with nonnegative curvature J. Funct. Anal. 2025 G. Antonelli, M. Pozzetta, D. Semola: Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature Comm. Pure Appl. Math. 2025