I have co-authored 29 papers in collaboration with 18 colleagues. A full list of my papers is here

Selected Papers and Preprints

1. Vertical curves and vertical fibers in the Heisenberg group, 29 pp., (2024). (arXiv)
   (joint work with Robert Young)

2. Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature, 40 pp., (2024). Submitted (arXiv)
   (joint work with Marco Pozzetta and Daniele Semola)

3. Ergodic maps and the cohomology of nilpotent Lie groups, 19 pp., (2024). Submitted (arXiv)
   (joint work with Robert Young)

4. New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry, 29 pp., (2024). Submitted (arXiv)
   (joint work with Kai Xu)

5. Positive mass and isoperimetry for continuous metrics with nonnegative scalar curvature, 34 pp., (2024). Submitted (arXiv)
   (joint work with Mattia Fogagnolo and Stefano Nardulli and Marco Pozzetta)

6. Carnot rectifiability and Alberti representations, 82 pp., (2024).
   (joint work with Enrico Le Donne and Andrea Merlo)
   Accepted in Proceedings of the London Mathematical Society (arXiv)

7. Nonexistence of isoperimetric sets in spaces of positive curvature, 19 pp., (2023).
   (joint work with Federico Glaudo)
   Accepted in Crelle's Journal (arXiv)

8. Sharp isoperimetric comparison on noncollapsed spaces with lower Ricci bounds, 47 pp., (2023).
   (joint work with Enrico Pasqualetto and Marco Pozzetta and Daniele Semola)
   Accepted in Annales scientifiques de l'École normale supérieure (arXiv)
   This is the first of two companion papers originally appeared jointly in version 1 of the submission here. The second of the two companion papers is here. 

9. Asymptotic isoperimetry on noncollapsed spaces with lower Ricci bounds, 42 pp., (2023)
   (joint work with Enrico Pasqualetto and Marco Pozzetta and Daniele Semola)
   Accepted in Mathematische Annalen (arXiv)
   This is the second of two companion papers originally appeared jointly in version 1 of the arXiv submission here. The first of the two companion papers is version 2 of the arXiv submission here. 

10. The Rank-One Theorem on RCD spaces, 41 pp., (2023)
    (joint work with Camillo Brena and Enrico Pasqualetto)
    Accepted in Analysis & PDE (arXiv)

11. On rectifiable measures in Carnot groups: Marstrand--Mattila rectifiability criterion, (2022)
    (joint work with Andrea Merlo)
    This is the second of two companion papers. This work consists of an elaboration of Sections 2 and 5 of the preprint "On rectifiable measures in Carnot groups: structure theory" that can be found as version 2 of the submission here.
    Journal of Functional Analysis, 63 pp., (arXiv) 

12. On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth, (2022)
    (joint work with Elia Bruè and Mattia Fogagnolo and Marco Pozzetta)
    Calculus of Variations and Partial Differential Equations, 61 Article number:77 (2022), 37 pp. (arXiv)

13. Polynomial and horizontally polynomial functions on Lie groups, (2022)
    (joint work with Enrico Le Donne)
    Annali di Matematica Pura ed Applicata (1923 - ), 33 pp., (arXiv)
    
    Notes

14. A note on the stable Bernstein theorem, 10 pp., (2024). (joint with Kai Xu)

15. Isoperimetric problems, 25 pp., (2024). These are the Lecture notes of the 4 hours minicourse I gave in Granada (July 2024) for the European Doctorate School of Differential Geometry.

Academic works

PhD Thesis: Rectifiability in Carnot groups (Slides)
Supervisors: Prof. Luigi Ambrosio, Prof. Enrico Le Donne
Master thesis: Limits of Riemannian manifolds with Ricci curvature bounded from below
Supervisors: Prof. Luigi Ambrosio, Prof. Luciano Mari
Bachelor thesis: Regolarità dei minimi del problema di Lagrange (Language: Italian)
Supervisor: Prof. Luigi Ambrosio