Preprints:

[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, with G. Alberti, A. Massaccesi, 2025;

[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 with M. Mourgoglou and C. Puliatti, 2025;

[4.] Frobenius theorem and fine structure of tangency sets to non-involutive distributions, https://arxiv.org/abs/2506.03715, with G. Alberti, A. Massaccesi, 2025.


Publications:

[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 Variation 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 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, https://doi.org/10.1016/j.matpur.2023.10.010, published in the Journal de Mathématiques Pures et Appliquées, 2023 with G. Caldini, A. Marchese and S. Steinbrüchel.

[10.] Unextendable intrinsic Lipschitz curves, published in Annali SNS, 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, https://doi.org/10.2140/apde.2024.17.2109, 2024, with A. Marchese.

[12.] On the converse of Pansu's Theorem, Pulished in ARMA DOI: https://doi.org/10.1007/s00205-024-02059-8, 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, https://doi.org/10.1112/plms.70021, 2025 with G. Antonelli and E. Le Donne.

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