Publications and Pre-prints

Published/Accepted    

• • "On the MMP for rank one foliations on threefolds," with P. Cascini,  Forum of Mathematics, Pi (2025), arXiv:2012.11433, 57 pp.

  • "Foliation adjunction,'' with P. Cascini, Math. Annalen (2025), arXiv:2309.10697, 34 pp.

  • "MMP for algebraically integrable foliations,'' with P. Cascini, Higher Dimensional Algebraic Geometry: A Volume in Honor of V. V. Shokurov (2025) arXiv:2303.07528, 14 pp.

  • "On semi-ampleness of the moduli part," with S. Filipazzi, Moduli (2025), arXiv:2212.03736, 28 pp.

  • "Effective generation for foliated surfaces: results and applications," with R. Svaldi, Crelle (2022), 32 pp.

  • "Local and global applications of the Minimal Model Program for co-rank one foliations on threefolds," with R. Svaldi, Journal of the European Mathematical Society (2022), arXiv:1908.05037, 55 pp.

  • "MMP for co-rank one foliations on threefolds," with P. Cascini, Inventiones Math. (2021), arXiv:1808.02711, 88 pp.

  • "Hypersurfaces quasi-invariant by codimension one foliations," with J. V. Pereira, Mathematische Annalen (2019), Volume 378 pp. 613-635, arXiv:1804.08165.

  • "Higher dimensional foliated Mori theory," Compositio Mathematica (2020), Volume 156, Issue 1 pp.1-38, arXiv:1709.06850.

  • "Laplacians on Julia sets III: Cubic Julia sets and formal matings," with R. Strichartz and E. Totari, Fractal geometry and dynamical systems in pure and applied mathematics. I. Fractals in pure mathematics, 327–348 

  • "The implicit construction of multiplicity lists for classes of trees and verification of some conjectures," with C. R. Johnson and J. Nuckols, Linear Algebra Appl. 438 (2013), no. 5, 1990–2003 

Pre-prints

• • "On moduli of foliated surfaces," with R. Svaldi and S. Velazquez, arXiv:2511.13491, 75 pp.

  • "On base point freeness for rank one foliations,"  with P. Cascini,   arXiv:2509.03109, 12 pp.

  • "On finite generation and boundedness of adjoint foliated structures,'' with P. Cascini, J. Han, J. Liu, F. Meng, R. Svaldi and L. Xie, arXiv:2504.10737, 45 pp.

  • "Minimal model program algebraically integrable adjoint foliated structures,'' with P. Cascini, J. Han, J. Liu, F. Meng, R. Svaldi and L. Xie, arXiv:2408.14258, 50 pp.

  • "Positivity of the Moduli Part," with F. Ambro, P. Cascini, V. V. Shokurov, arXiv:2111.00423, 32 pp.