F. Ghiraldin, L. Spolaor: On the number of singular points for planar multivalued harmonic functions Manuscripta Math. (Accepted Paper) 2016 M. Colombo, L. Spolaor: Quantitative estimate on singularities in isoperimetric clusters CAG (Accepted Paper) 2017 L. Spolaor, B. Velichkov: An epiperimetric inequality for the regularity of some free boundary problems: the $2$-dimensional case Comm. Pure Appl. Math. (Accepted Paper) p. 32, 2017 M. Colombo, L. Spolaor, B. Velichkov: A logarithmic epiperimetric inequality for the obstacle problem Geom. Funct. Anal. (Accepted Paper) 2017 C. De Lellis, E. Spadaro, L. Spolaor: Regularity theory for $2$-dimensional almost minimal currents II: branched center manifold Ann. PDE Vol. 2, N. 18, p. 85 pp, 2017 C. De Lellis, E. Spadaro, L. Spolaor: Uniqueness of tangent cones for $2$-dimensional almost minimizing currents Comm. Pure Appl. Math. Vol. 70, N. 7, p. 14021421, 2017 M. Colombo, N. Edelen, L. Spolaor: The singular set of minimal surfaces near polyhedral cones JDG (Accepted Paper) 2017 M. Colombo, L. Spolaor, B. Velichkov: Direct epiperimetric inequalities for the thin obstacle problem and applications Comm. Pure Appl. Math. (Accepted Paper) 2017 C. De Lellis, E. Spadaro, L. Spolaor: Regularity theory for $2$-dimensional almost minimal currents I: Lipschitz approximation Transactions AMS Vol. 370, N. 3, p. 17831801, 2018 L. Spolaor: Almgren's type regularity for Semicalibrated Currents Adv. Math. (Accepted Paper) 2018 M. Engelstein, L. Spolaor, B. Velichkov: (Log-)epiperimetric inequality and regularity over smooth cones for almost Area-Minimizing currents Geom. Topol. (Accepted Paper) 2018 L. Spolaor, B. Trey, B. Velichkov: Free boundary regularity for a multiphase shape optimization problem Communications in Partial Differential Equations (Accepted Paper) 2018 M. Colombo, L. Spolaor, B. Velichkov: On the asymptotic behavior of the solutions to parabolic variational inequalities J. Reine Agnew. Math. (Accepted Paper) 2018 M. Engelstein, L. Spolaor, B. Velichkov: Uniqueness of the blow-up at isolated singularities for the Alt-Caffarelli functional Duke Math. J. (Accepted Paper) 2018 O. Chodosh, M. Engelstein, L. Spolaor: The Riemannian quantitative isoperimetric inequality (Submitted Paper) 2019 N. Edelen, L. Spolaor: Regularity of minimal surfaces near quadratic cones (Submitted Paper) 2019 C. De Lellis, E. Spadaro, L. Spolaor: Regularity theory for $2$-dimensional almost minimal currents III: blowup J. Differential Geom. Vol. 116, N. 1, p. 125-185, 2020 O. Chodosh, Y. Liokumovich, L. Spolaor: Singular behavior and generic regularity of min-max minimal hypersurfaces (Preprint) 2020 M. Colombo, L. Spolaor, B. Velichkov: Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem Interfaces and Free Boundaries (Accepted Paper) 2021 G. De Philippis, M. Engelstein, L. Spolaor, B. Velichkov: Rectifiability and almost everywhere uniqueness of the blow-up for the vectorial Bernoulli free boundaries (Preprint) 2021 G. De Philippis, L. Spolaor, B. Velichkov: Regularity of the free boundary for the two-phase Bernoulli problem Inventiones mathematicae 2021 C. De Lellis, J. Hirsch, A. Marchese, L. Spolaor, S. Stuvard: Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem (Submitted Paper) 2021 L. Spolaor, B. Velichkov: On the logarithmic epiperimetric inequality for the obstacle problem Mathematics in Engineering Vol. 3, p. 1--42, 2021 G. De Philippis, L. Spolaor, B. Velichkov: (Quasi-)conformal methods in two-dimensional free boundary problems J. Eur. Math. Soc. (Accepted Paper) 2021 N. Edelen, L. Spolaor, B. Velichkov: A strong maximum principle for minimizers of the one-phase Bernoulli problem Indiana Math. J. (Accepted Paper) 2022 C. De Lellis, J. Hirsch, A. Marchese, L. Spolaor, S. Stuvard: Fine structure of the singular set of area minimizing hypersurfaces modulo $p$ (Submitted Paper) 2022 N. Edelen, L. Spolaor, B. Velichkov: The symmetric (log-)epiperimetric inequality and a decay-growth estimate (Preprint) 2023 C. De Lellis, J. Hirsch, A. Marchese, L. Spolaor, S. Stuvard: Excess decay for minimizing hypercurrents mod $2Q$ (Submitted Paper) 2023