Published Papers

  1. Intrinsically Lipschitz functions with normal target in Carnot groups, Published in Annales Fennici Mathematici, DOI: https://doi.org/10.5186/aasfm.2021.4638 with G. Antonelli.
  2. Geometry of 1-codimensional measures in Heisenberg groups, Published in Inventiones Mathematicae, DOI: https://doi.org/10.1007/s00222-021-01063-z.
  3. On rectifiable measures in Carnot groups: representation, Published in Calculus of Variations and PDEs, DOI: https://doi.org/10.1007/s00526-021-02112-4, 2021 with G. Antonelli.
  4. Endpoint Fourier restriction and unrectifiability, Published in the Proceedings of the AMS, DOI: https://doi.org/10.1090/proc/15857 with G. Del Nin.
  5. On rectifiable measures in Carnot groups: existence of density, Published in the Journal of Geometric Analysis, DOI: https://doi.org/10.1007/s12220-022-00971-7, 2022 with G. Antonelli.
  6. On rectifiable measures in Carnot groups: Marstrand-Mattila rectifiability criterion, Published in the Journal of Functional Analysis, DOI: https://doi.org/10.1016/j.jfa.2022.109495, 2022 with G. Antonelli.
  7. Marstrand-Mattila rectifiability criterion for 1-codimensional measures in Carnot Groups, Published in Analysis and PDEs, DOI: https://doi.org/10.2140/apde.2023.16.927, 2023.
  8. On sets with unit Hausdorff density in homogeneous groups, Published in Forum of Mathematics, Sigma DOI: https://doi.org/10.1017/fms.2023.31, 2023, with A. Julia.
  9. Generic uniqueness for the Plateau problem, Published in the Journal de Mathématiques Pures et Appliquées, DOI: https://doi.org/10.1016/j.matpur.2023.10.010, 2023 with G. Caldini, A. Marchese and S. Steinbrüchel.
  10. Unextendable intrinsic Lipschitz curves, Published in Annali SNS, DOI: https://doi.org/10.2422/2036-2145.202107_017, 2021 with G. Antonelli.
  11. Characterization of rectifiability via Lusin type approximation, Published in Analysis and PDEs, DOI: https://doi.org/10.2140/apde.2024.17.2019, 2024, with A. Marchese.
  12. On the converse of Pansu's Theorem, Published in ARMA, DOI: https://doi.org/10.1007/s00205-024-03005-8, 2024 with G. De Philippis, A. Marchese, A. Pinamonti and F. Rindler.
  13. Carnot rectifiability and Alberti representations, Published in Proceedings of the London Math. Society, DOI: https://doi.org/10.1112/plms.70021, 2025 with G. Antonelli and E. Le Donne.

Accepted Papers

  1. On the density problem in the parabolic space, Accepted for publication in Memoirs AMS, https://arxiv.org/pdf/2211.04222.pdf, 2022 with M. Mourgoglou and C. Puliatti.
  2. A simple proof of the 1-dimensional flat chain conjecture, Accepted for publication in Advances in Calc. Var., https://arxiv.org/pdf/2411.15019, 2024 with A. Marchese.

Submitted Papers

  1. Full non-differentiability sets of typical Lipschitz functions, https://arxiv.org/abs/1906.08366, 2019.
  2. Tangency sets of non-involutive distributions and unrectifiability in Carnot-Carathéodory spaces, https://arxiv.org/abs/2503.01373, 2025, with G. Alberti, A. Massaccesi.
  3. Layer potentials for elliptic operators with DMO-type coefficients: big pieces Tb theorem, quantitative rectifiability, and free boundary problems, https://arxiv.org/abs/2505.23478, 2025, with M. Mourgoglou and C. Puliatti.
  4. Frobenius theorem and fine structure of tangency sets to non-involutive distributions, https://arxiv.org/abs/2506.03715, 2025 with G. Alberti, A. Massaccesi.




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