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19. The polytope of all matroids, (joint with Alex Fink).
Selecta Mathematica, New Series (accepted)
arXiv:2502.20157
18. Preservation of log-concavity on gamma polynomials, (joint with Greta Panova and Lorenzo Venturello).
Proceedings of the American Mathematical Society (accepted)
arXiv:2502.08948
17. Deletion formulas for equivariant Kazhdan–Lusztig polynomials of matroids, (joint with Jacob Matherne and Lorenzo Vecchi).
SIAM Journal on Discrete Mathematics 39 (2025)
arXiv:2406.19962
16. Tutte polynomials of matroids as universal valuative invariants, (joint with Benjamin Schröter).
Combinatorial Theory 5 (2025)
arXiv:2403.17696
15. Schubert matroids, Delannoy paths, and Speyer's invariant.
Combinatorial Theory 3 (2023)
arXiv:2311.01397
14. Face enumeration for split matroid polytopes, (joint with Benjamin Schröter).
Combinatorics, Probability and Computing 34 (2025)
Séminaire Lotharingien de Combinatoire 91B (2024) (extended abstract, FPSAC 2024)
arXiv:2310.05487
13. Examples and counterexamples in Ehrhart theory, (joint with Akihiro Higashitani).
EMS Surveys in Mathematical Sciences (accepted, published online)
arXiv:2307.10852
12. Kazhdan–Lusztig polynomials of braid matroids, (joint with Matt Larson).
Communications of the American Mathematical Society 4 (2024)
arXiv:2303.02253
SAGE code
11. Hilbert–Poincaré series of matroid Chow rings and intersection cohomology, (joint with Jacob Matherne, Matthew Stevens and Lorenzo Vecchi).
Advances in Mathematics 449 (2024)
Séminaire Lotharingien de Combinatoire 89B (2023) (extended abstract, FPSAC 2023)
arXiv:2212.03190
10. Valuative invariants for large classes of matroids, (joint with Benjamin Schröter).
Journal of the London Mathematical Society 110 (2024)
arXiv:2208.04893
9. The Merino–Welsh conjecture for split matroids, (joint with Benjamin Schröter).
Annals of Combinatorics 27 (2023)
arXiv:2204.07132
8. Lattice points in slices of prisms, (joint with Daniel McGinnis).
Canadian Journal of Mathematics 77 (2025)
arXiv:2202.11808
7. Stressed hyperplanes and Kazhdan–Lusztig gamma-positivity for matroids, (joint with George Nasr and Lorenzo Vecchi).
International Mathematics Research Notices 2023 (2023)
arXiv:2110.08869
6. Ehrhart polynomials of rank two matroids, (joint with Katharina Jochemko and Benjamin Schröter).
Advances in Applied Mathematics 141 (2022)
arXiv:2106.08183
5. Matroids are not Ehrhart positive.
Advances in Mathematics 402 (2022)
arXiv:2105.04465
This paper was awarded a special prize by the Italian Mathematical Union, named after Mario Baldassarri.
4. Matroid relaxations and Kazhdan–Lusztig non-degeneracy, (joint with Lorenzo Vecchi).
Algebraic Combinatorics 5 (2022)
arXiv:2104.14531
3. Integer point enumeration on independence polytopes and half-open hypersimplices.
Discrete Mathematics 344 (2021)
arXiv:2012.04711
2. On the Ehrhart polynomial of minimal matroids.
Discrete & Computational Geometry 68 (2022)
arXiv:2003.02679
1. Hypersimplices are Ehrhart Positive.
Journal of Combinatorial Theory (Series A) 178 (2021)
arXiv:1911.10146
6. Building sets, Chow rings, and their Hilbert series, (joint with Chris Eur, Jacob Matherne, Roberto Pagaria, and Lorenzo Vecchi).
arXiv:2504.16776
5. The Ehrhart polynomial of a matroid specializes to the beta invariant, (joint with Anastasia Chavez, Galen Dorpalen-Barry, Fu Liu, Felipe Rincón, and Andrés Vindas-Meléndez).
arXiv:2504.15518
4. Skew shapes, Ehrhart positivity and beyond, (joint with Alejandro Morales and Greta Panova).
arXiv:2503.16403
3. Chow functions for partially ordered sets, (joint with Jacob Matherne and Lorenzo Vecchi).
arXiv:2411.04070
2. A convex ear decomposition for the augmented Bergman complex of a matroid, (joint with Christos Athanasiadis).
arXiv:2410.08812
1. Preservation of inequalities under Hadamard products, (joint with Petter Brändén and Katharina Jochemko).
arXiv:2408.12386
The Ehrhart theory of matroid polytopes, written under the supervision of Dr. Luca Moci.
Available at UNIBO repository
My PhD Thesis was awarded in December 2022 the Michele Cuozzo Prize, by the University Tor Vergata.
My PhD Thesis was also awarded in November 2023 the INdAM-UMI-SIMAI Prize 2020–2023, a joint prize from the Istituto Nazionale di Alta Matematica, the Italian Mathematical Union, and the Società Italiana di Matematica Applicata e Industriale.
Grupos de Coxeter y Bimódulos de Soergel (in Spanish), March 2018. Tesis de Licenciatura (Licentiate Thesis). Written under the supervision of Dr. Ivan E. Angiono.
Available at UNC repository
Matroids in competitive programming, July 2022. Notes of the lecture given at the Argentinian Training Camp in Competitive Programming 2022.
Available here
The linear method in problem solving, July 2021. Notes of the lecture given at the Argentinian Training Camp in Competitive Programming 2021.
Available here
Polynomials and combinatorics in competitive programming, July 2021. Notes of the lecture given at the Argentinian Training Camp in Competitive Programming 2021.
Available here
Fast polynomial multiplication, division, evaluation & interpolation, July 2020. Notes of the lecture given at the Argentinian Training Camp in Competitive Programming 2020.
Available here
El Teorema de Stone-Weierstrass (in Spanish), July 2015. Monograph submitted to the "Concurso de Monografías de la UMA". It was awarded the second place at that contest.
Available here
Iteración de Arnoldi & GMRES (in Spanish), November 2014. Monograph required to the completion of the course "Analisis Numérico II" at FaMAF.
Available here