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Publications

1. Schubert matroids, Delannoy paths, and Speyer's invariant
   Combinatorial Theory 3 (2023)
   arXiv:2311.01397

2. Enumerating the faces of split matroid polytopes, (joint with Benjamin Schröter).
   Séminaire Lotharingien de Combinatoire (to appear) (extended abstract, FPSAC 2024)
   arXiv:2310.05487

3. Kazhdan–Lusztig polynomials of braid matroids, (joint with Matt Larson).
   Communications of the American Mathematical Society 4 (2024)
   arXiv:2303.02253
   SAGE code

4. 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 

5. The Merino–Welsh conjecture for split matroids, (joint with Benjamin Schröter).
   Annals of Combinatorics 27 (2023)
   arXiv:2204.07132

6. Lattice points in slices of prisms, (joint with Daniel McGinnis).
   Canadian Journal of Mathematics (to appear)
   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

8. Ehrhart polynomials of rank two matroids, (joint with Katharina Jochemko and Benjamin Schröter).
   Advances in Applied Mathematics 141 (2022)
   arXiv:2106.08183

9. 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.

10. Matroid relaxations and Kazhdan–Lusztig non-degeneracy, (joint with Lorenzo Vecchi).
    Algebraic Combinatorics 5 (2022)
    arXiv:2104.14531

11. Integer point enumeration on independence polytopes and half-open hypersimplices
    Discrete Mathematics 344 (2021)
    arXiv:2012.04711

12. On the Ehrhart polynomial of minimal matroids
    Discrete & Computational Geometry 68 (2022)
    arXiv:2003.02679

13. Hypersimplices are Ehrhart Positive
    Journal of Combinatorial Theory (Series A) 178 (2021)
    arXiv:1911.10146

Preprints

14. The polytope of all matroids, (joint with Alex Fink).
    In preparation.

15. Chow functions for partially ordered sets, (joint with Jacob Matherne and Lorenzo Vecchi).
    In preparation.

16. Deletion formulas for equivariant Kazhdan–Lusztig polynomials of matroids, (joint with Jacob Matherne and Lorenzo Vecchi)).
    Available on arXiv

17. Tutte polynomials of matroids as universal valuative invariants, (joint with Benjamin Schröter).
    Available on arXiv 

18. Examples and counterexamples in Ehrhart theory,  (joint with Akihiro Higashitani).
    Available on arXiv (comments welcome!)

19. Valuative invariants for large classes of matroids, (joint with Benjamin Schröter).
    Available on arXiv (comments welcome!)

PhD Thesis

• 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.

Expository Writing

20. 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

21. Matroids in competitive programming, July 2022. Notes of the lecture given at the Argentinian Training Camp in Competitive Programming 2022.
    Available here

22. The linear method in problem solving, July 2021. Notes of the lecture given at the Argentinian Training Camp in Competitive Programming 2021.
    Available here

23. Polynomials and combinatorics in competitive programming, July 2021. Notes of the lecture given at the Argentinian Training Camp in Competitive Programming 2021.
    Available here

24. Fast polynomial multiplication, division, evaluation & interpolation, July 2020. Notes of the lecture given at the Argentinian Training Camp in Competitive Programming 2020.
    Available here

25. 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

26. Iteración de Arnoldi & GMRES (in Spanish), November 2014. Monograph required to the completion of the course "Analisis Numérico II" at FaMAF.
    Available here