I. Fleschler, X. Tolsa, M. Villa: Faber-Krahn inequalities, the Alt-Caffarelli-Friedman formula, and Carleson's $\varepsilon^2$ conjecture in higher dimensions (preprint) 2023 I. Fleschler, X. Tolsa, M. Villa: Carleson's $\varepsilon^2$ conjecture in higher dimensions (preprint) 2023 C. De Lellis, I. Fleschler: An elementary rectifiability lemma and some applications (Accepted Paper: Mathematical Research Letters) 2023 I. Fleschler: Allard-type regularity theory for area minimizing currents at boundaries with arbitrary multiplicity (Proceedings) 2024