• Classical solutions to the soap film capillarity problem for plane boundaries
(Math. Annalen 2025; with Giulia Bevilacqua and Salvatore Stuvard)

• Some remarks on singular capillary cones with free boundary
(preprint 02/2025; with Alberto Pacati and Giorgio Tortone)

• Boundary regularity of the free interface in spectral optimal partition problems
(preprint 4/2024; with Roberto Ognibene)

       - Summary/Cover letter
       - Oberwolfach report

• Structure of the free interface near triple junction singularities in harmonic maps and optimal partition problems (Arch. Rat. Mech. Anal.; with Roberto Ognibene)

• An elliptic regularization approach to the Stefan problem
(preprint 6/2026; with Filippo Paiano)

• On the boundary branching set of the one-phase problem
(preprint 7/2024; with Lorenzo Ferreri and Luca Spolaor)

• A capillarity one-phase Bernoulli free boundary problem
(preprint 10/2023; with Lorenzo Ferreri, Giorgio Tortone)

• Regularity for one-phase Bernoulli problems with discontinuous weights
and applications (Trans. Amer. Math. Soc. 2024; with Lorenzo Ferreri)

• Uniqueness of the blow-up at isolated singularities for the Alt-Caffarelli functional
(Duke Math. J. 2020; with Max Engelstein and Luca Spolaor)

• Fine structure of the two-phase Bernoulli free boundaries in 2D
(preprint 7/2024; with Lorenzo Ferreri and Luca Spolaor)

• (Quasi-)conformal methods in two-dimensional free boundary problems
(J. Eur. Math. Soc. 2024; with Guido De Philippis and Luca Spolaor)

• Regularity of the optimal sets for the second Dirichlet eigenvalue
(Ann. Inst. H. Poincaré Anal. Non Linéaire 2022; with Dario Mazzoleni, Baptiste Trey)

       - Summary/Cover letter

• Regularity of the free boundary for the two-phase Bernoulli problem
(Invent. Math. 2021; with Guido De Philippis and Luca Spolaor)

       - Summary/Cover letter
       - Extended abstract - Workshop Calculus of Variations (Oberwolfach)
       - Slides of my talks in Oberwolfach, Pisa, and Levico
       - an application of the method to another two-phase problem

• An epiperimetric inequality for the regularity of some free boundary problems:
the 2-dimensional case (Comm. Pure Appl. Math. 2018; with Luca Spolaor)

• On a multiphase vectorial Bernoulli free boundary problem
(preprint 5/2026; with Giovanni Siclari)

• On the blow-up of the vectorial Bernoulli free boundary problem
(preprint 2/2026; with Giovanni Siclari)

• Regularity of the optimal sets for a class of integral shape functionals
(Arch. Rat. Mech. Anal. 2024; with G. Buttazzo, F.P. Maiale, D. Mazzoleni, G. Tortone)

• The boundary Harnack principle on optimal domains
(Ann. Sc. Norm. Super. Pisa Cl. Sci. 2024; with F. P. Maiale and Giorgio Tortone)

• Epsilon-regularity for the solutions of a free boundary system
(Rev. Mat. Iberoam. 2023; with F. P. Maiale and Giorgio Tortone)

• Regularity of the free boundary for the vectorial Bernoulli problem
(Anal. PDE 2020; with Dario Mazzoleni and Susanna Terracini)

• Regularity of the optimal sets for some spectral functionals

(Geom. Funct. Anal. 2017; with Dario Mazzoleni and Susanna Terracini)

• An epiperimetric inequality for odd frequencies in the thin obstacle problem
(J. Funct. Anal. 2025; with Matteo Carducci)

• Direct epiperimetric inequalities for the thin obstacle problem and applications
(Comm. Pure Appl. Math. 2019; with Maria Colombo and Luca Spolaor)

• A logarithmic epiperimetric inequality for the obstacle problem
(Geom. Funct. Anal. 2018; with Maria Colombo and Luca Spolaor)

       - On the logarithmic epiperimetric inequality - slides of my
        talks in Krakow, Aveiro, Oberwolfach, Trento, and Milano

• Regularity of the one-phase free boundaries
(Lecture Notes of the Unione Matematica Italiana - Springer, 2023)

• Existence and regularity results for some shape optimization problems
(Edizioni della Normale, 2015)