0. Effective methods for multilinear birational transformations and contributions to polynomial data analysis. Download the manuscript
Ph.D. Thesis (defended on the 19.12.2023)
Journal Publications:
1. Construction of birational trilinear volumes via tensor rank criteria (with Laurent Busé). Preprint | Cite
SIAM Journal on Applied Algebra and Geometry, 9(2), 405–431 (2025). Selected for a contributed talk at MEGA 2024.
2. Tri-linear birational maps in dimension three (with Laurent Busé and Josef Schicho). Preprint | Cite
Math. Comp. 92, 1837-1866 (2023). Selected for a contributed talk at MEGA 2022.
Preprints:
3. Trivariate Splines on Fans of Hyperplane Arrangements and Koszul Homology (2026) (with Carles Checa, Michael DiPasquale, Thái Thành Nguyen, Liana Sega, Prajwal Udanshive, Adam Van Tuyl and Nelly Villamizar). Preprint
4. Real Line Congruences of Trilinear Birational Maps (2026) (with Bert Jüttler and Josef Schicho). Preprint
5. Explicit Inversion of Planar NURBS Curves (2026) (with Michelangelo Marsala). Preprint
6. Weak (1-ε)-nets for polynomial superlevel sets (2023) (with Alfredo Hubard and Roman Karasev). Preprint | Cite
Science Communication Articles:
7. Construcción de Transformaciones Birracionales. Cite
La Gaceta de la Real Sociedad Matemática Española, vol. 28, n. 1 (2025), 125-141.
Other publications:
a) Translation into Spanish of the vignette “Goodstein Sequences: The Power of a Detour via Infinity”.
Blog of the Klein Project (2019).
b) Solution to “Problem 327” proposed at La Gaceta de la Real Sociedad Matemática Española (with Jaime Vinuesa-Tejedor).
La Gaceta de la Real Sociedad Matemática Española, vol. 21 (2018), n. 2, pp. 341-342.