Boundary Regularity for Area-Minimizing Currents

• Proceedings: Allard-type regularity theory for area minimizing currents at boundaries with arbitrary multiplicity.
  To appear in the proceedings of the conference "Geometric Measure Theory and Applications", held in Cortona, 2024. The proceedings will be published in the Springer INdAM Series arXiv:2409.00820

• On the uniqueness of tangent cones to area minimizing currents at boundaries with arbitrary multiplicity
  arXiv:2410.05132

• On the regularity of area minimizing currents at boundaries with arbitrary multiplicity
  In collaboration with Reinaldo Resende. arXiv:2410.04566

• An essential one-sided boundary singularity for a 3-dimensional area minimizing current in R^5.
  arXiv:2502.15047

Higher Dimensional Carleson ε^2

• Faber-Krahn inequalities, the Alt-Caffarelli-Friedman formula, and Carleson's ε^2 conjecture in higher dimensions
  In collaboration with Xavier Tolsa and Michelle Villa. arXiv:2306.06187

• Carleson's ε^2 conjecture in higher dimensions
  In collaboration with Xavier Tolsa and Michelle Villa. arXiv:2310.12316

Classical Rectifiability

• An elementary rectifiability lemma and some applications
  In collaboration with Camillo de Lellis. Published in Mathematical Research Letters, Volume 31, Number 4, 1029–1045, 2024. arXiv:2307.02866

Licenciate Thesis

• Title: “Quantitative Techniques in the Study of Rectifiability”. Topic: Geometric Measure Theory. Thesis Directors: Professors Ezequiel Rela and Pablo Shmerkin. Link to thesis. Link to recording of thesis defense.