Wetting theorems in capillarity theory,
  [ arxiv | journal ] with Francesco Maggi, Michael Novack,
  submitted (2026).

On the asymptotic properties of solutions to one-phase free boundary problems,
  [ arxiv | journal ] with Max Engelstein, Zihui Zhao,
  submitted (2025).

Convergence of semilinear parabolic flows with general initial data,
  [ arxiv | journal ]
  submitted (2025).

On the Grad-Mercier equation and Semilinear Free Boundary Problems,
  [ arxiv | journal ] with Luis Caffarelli, Antonio Farah,
  Accepted at Analysis & PDE (2026).

Free boundary regularity for semilinear variational problems with a topological constraint,
  [ arxiv | journal ] with Michael Novack, Anna Skorobogatova,
  Archive for Rational Mechanics and Analysis, vol. 250, no. 55,  1-92 (2026).

C^\infty regularity in semilinear free boundary problems,
  [ arxiv | journal ] with Xavier Ros-Oton,
  Mathematische Annalen, vol. 392, 3397--3446, (2025).

Asymptotic behavior of a diffused interface volume-preserving mean curvature flow,
  [ arxiv | journal ] with Matteo Bonforte, Francesco Maggi,
  Archive for Rational Mechanics and Analysis, vol. 250, no. 23,  1-65 (2026).

A hierarchy of Plateau problems and the approximation of Plateau's laws via the Allen–Cahn equation,
  [ arxiv | journal ] with Francesco Maggi, Michael Novack,
  Accepted at JEMS (2026).

Plateau borders in soap films and Gauss' capillarity theory,
  [ arxiv | journal ] with Francesco Maggi, Michael Novack,
  submitted (2023).

Uniform stability in the Euclidean isoperimetric problem for the Allen–Cahn energy,
  [ arxiv | journal ] with Francesco Maggi,
  Analysis & PDE,  vol. 17, no. 5, 1761--1830, (2024).

On the Morse Index of least energy nodal solutions for quasilinear elliptic problems,
  [ arxiv | journal ] with Óscar Agudelo, Carlos Vélez,
  Calculus of Variations and Partial Differential Equations, vol. 59, no. 59, 1--35, (2020).

Multiplicity results and qualitative properties for Neumann semilinear elliptic problems,
  [ arxiv | journal ] with Óscar Agudelo, Santiago Correa, Carlos Vélez,
  Journal of Mathematical Analysis and Applications, vol. 468, no. 1, 141--160, (2018).

Homogenization of Diffusion Processes on Scale-Free Networks,
  [ arxiv | journal ] with Fernando Morales,
  Electronic Journal of Differential Equations, vol. 2016, no. 282, 1--24, (2016).