Gioacchino Antonelli

Assistant Professor

Education

PhD in Mathematics, SNS, Pisa - 2022
Master's Degree in Mathematics, University of Pisa - 2018
Bachelor's Degree in Mathematics, University of Pisa - 2016

 

Research Groups

Analysis and Partial Differential Equations, Differential Geometry

Research Area

Geometric Analysis

Bio

Research Interests

"I am broadly interested in Geometric Analysis. My work draws from a range of areas, including Sub-Riemannian Geometry, Geometric Measure Theory, and Geometric Group Theory. In particular, I have studied the isoperimetric problem and the structure of spaces with lower curvature bounds, as well as questions of rectifiability in non-Euclidean settings."

Selected Publications

• Antonelli, G., Le Donne, E., & Merlo, A. (2025). Carnot rectiability and Alberti representations. Proc.
  Lond. Math. Soc. (3), 130(1), Paper No. e70021, 78. Š https://doi.org/10.1112/plms.70021\
• Antonelli, G., Pasqualetto, E., Pozzetta, M., & Semola, D. (2025). Sharp isoperimetric comparison on
  non-collapsed spaces with lower Ricci bounds. Ann. Sci. Éc. Norm. Supér. (4), 58(1), 1–52.
• Antonelli, G., Pozzetta, M., & Semola, D. (2025). Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature. Comm. Pure Appl. Math., 78(9), 1656–1702. https://doi.org/10.1002/cpa.22252
• Antonelli, G., & Xu, K. (2024). New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry. arXiv preprint, arXiv:2405.08918. https://arxiv.org/abs/2405.08918
• Antonelli, G., Young, R. Ergodic maps and the cohomology of nilpotent Lie groups. Math. Ann. (2025). https://doi.org/10.1007/s00208-025-03208-4