All my publications and preprints are available on arXiv and cvgmt.

List of publications and preprints

11. The singular set in the thin Stefan problem.
    Matteo Carducci, Roberto Colombo, Clara Torres-Latorre.
    Preprint: arXiv (2026), PDF.


10. A minimizing cone from Cartan polynomials in the Alt-Caffarelli problem.
    Matteo Carducci, Bozhidar Velichkov.
    Preprint: arXiv (2026), PDF.


9. Uniqueness of one-phase cones with isolated singularity.
   Matteo Carducci, Bozhidar Velichkov.
   Preprint: arXiv (2026), PDF.


8. Uniqueness of the blow-up for some Alt-Phillips cones.
   Matteo Carducci, Giorgio Tortone.
   Preprint: arXiv (2026), PDF.


7. Smoothness and stability in the Alt-Phillips problem.
   Matteo Carducci, Giorgio Tortone.
   Math. Ann. (2026), PDF.


6. Free boundary regularity for a tumor growth model with obstacle.
   Giulia Bevilacqua, Matteo Carducci.
   Preprint: arXiv (2025), PDF.


5. Existence and regularity in the fully nonlinear one-phase free boundary problem.
   Matteo Carducci, Bozhidar Velichkov.
   SIAM J. Math. Anal. (2026), PDF.


4. Generic regularity of free boundaries in the obstacle problem for the fractional Laplacian.
   Matteo Carducci, Roberto Colombo.
   Preprint: arXiv (2024), PDF.


3. An epiperimetric inequality for odd frequencies in the thin obstacle problem.
   Matteo Carducci, Bozhidar Velichkov.
   J. Funct. Anal. (2025), PDF.


2. Epiperimetric inequalities in the obstacle problem for the fractional Laplacian.
   Matteo Carducci.
   Calc. Var. PDE (2024), PDF.


1. Optimal regularity of the thin obstacle problem by an epiperimetric inequality.
   Matteo Carducci.
   Ann. Mat. Pura Appl. (2023), PDF.