Assistant Professor, University of Notre Dame

Email: gioacchinoantonelli3 AT gmail.com

Home-page: https://sites.google.com/view/gioacchinoantonelli/home-page?authuser=1

Available papers (33):

[plain text]

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

Seminars:

• 11 feb 2021: Rectifiable measures: a local-to-global adventure tailored for Carnot groups
• 23 oct 2019: Some results on codimension one rectifiability for subsets in Carnot groups

Speaker:

• 24 mar 2026 - 27 mar 2026: Geometric measure theory and Metric geometry
• 24 jul 2023 - 28 jul 2023: Thematic Session on GMT
• 11 jun 2018 - 11 jun 2018: Non-smooth Geometry and Optimal Transport