top of page

All my research is available for consultation and download on the arXiv preprint repository and the CVGMT portal. 

PUBLICATIONS and PREPRINTS

  1. Classical solutions to the soap films capillarity problem for plane boundaries, with G. Bevilacqua and B. Velichkov; submitted

  2. Excess decay for minimizing hypercurrents mod $2Q$, with C. De Lellis, J. Hirsch, A. Marchese, and L. Spolaor; Nonlinear Anal. 247 (2024)

  3. End-time regularity theorem for Brakke flows, with Y. Tonegawa; Math. Annalen. 390 (2024), 3317-3353

  4. Fine structure of the singular set of area minimizing hypersurfaces modulo $p$, with C. De Lellis, J. Hirsch, A. Marchese, and L. Spolaor; submitted

  5. On the existence of canonical multi-phase Brakke flows, with Y. Tonegawa; Adv. Calc. Var. 17(1) (2024), 33-78

  6. Area minimizing hypersurfaces modulo p: a geometric free-boundary problem, with C. De Lellis, J. Hirsch, A. Marchese, and L. Spolaor; submitted

  7. Dynamical instability of minimal surfaces at flat singular points, with Y. Tonegawa; J. Differential Geom. (2024), to appear.

  8. Smoothness of collapsed regions in a capillarity model for soap films, with D. King and F. Maggi; Arch. Ration. Mech. Anal. 243(2) (2022), 459-500

  9. Collapsing and the convex hull property in a soap film capillarity model, with D. King and F. Maggi; Ann. Inst. H. Poincaré Anal. Non Linéaire 38(6) (2021), 1929-1941

  10. An existence theorem for Brakke flow with fixed boundary condition, with Y. Tonegawa; Calc. Var. Partial Differential Equations 60 (2021), no.1, Art. 43

  11. Regularity of area minimizing currents mod $p$, with C. De Lellis, J. Hirsch, and A. Marchese; Geom. Funct. Anal. 30(5) (2020), 1224-1336

  12. Area minimizing currents mod $2Q$: linear regularity theory, with C. De Lellis, J. Hirsch, and A. Marchese; Comm. Pure Appl. Math. 75(1) (2022), 83-127

  13. Plateau's problem as a singular limit of capillarity problems (revised), with D. King and F. Maggi. Comm. Pure Appl. Math., 75(5) (2022), 895-969

  14. Plateau's problem as a singular limit of capillarity problems, with D. King and F. Maggi. Comm. Pure Appl. Math., 75(3) (2022), 541-609

  15. Soap films with gravity and almost-minimal surfaces, with F. Maggi and A. Scardicchio. Discrete Cont. Dyn. Syst. 39 (2019), no. 12, 6877-6912

  16. A multi-material transport problem with arbitrary marginals, with A. Marchese, A. Massaccesi, and R. Tione; Calc. Var. Partial Differential Equations 60 (2021), no.3, Art. 88

  17. Rectifiability of the singular set of multiple-valued energy minimizing harmonic maps, with J. Hirsch and D. Valtorta. Trans. Amer. Math. Soc. 371 (2019), no. 6, 4303–4352

  18. Multiple valued sections of vector bundles: the reparametrization theorem for Q-valued functions revisited. Comm. Anal. Geom. 30 (2022), no. 1, 207-255

  19. On the lower semicontinuous envelope of functionals defined on polyhedral chains, with M. Colombo, A. De Rosa, and A. Marchese. Nonlinear Anal. 163 (2017), 201–215

  20. Multiple valued Jacobi fields. Calc. Var. Partial Differential Equations 58 (2019), no. 3, Art. 92, 83 pp

  21. On the structure of flat chains modulo p, with A. Marchese. Adv. Calc. Var. 11 (2018), no. 3, 309–323

bottom of page