publications

peer-reviewed research articles:

1. Waring identifiability for powers of forms via degenerations, with A. Casarotti, Proc. London Math. Soc. 128, no. 1 ,  (2024)

2. On linear systems with multiple points on a rational normal curve, with A. Laface and L. Sántana Sanchez,  Linear Algebra Appl. 657 , 197–240, (2023)

3. Weyl cycles on the blow-up of P4 at eight points, with M. C. Brambilla and O. Dumitrescu, preprint ArXiv, to appear in “The Art of Doing Algebraic Geometry” Trends in Mathematics and Statistics, Eds:  T. Dedieu, F. Flamini, C. Fontanari, C. Galati e R. Pardini, 2023

4. Log Fano blowups of mixed products of  projective spaces and their effective cones, with T. Grange and A. Prendergast-Smith, Rev. Mat. Complut, 36, 393–442 (2023)

5. Positivity of divisors on blown-up projective spaces, I, with O. Dumitrescu, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XXIV, 599-618, (2023)

6. On Strassen's rank additivity for small three-way tensors, with J. Buczyński and F. Rupniewski, SIAM J. Matrix Anal. Appl., 41(1), 106–133, (2020)

7. Positivity of divisors on blown-up projective spaces, II, with O. Dumitrescu, Journal of Algebra 529, 226– 267 (2019)

8. Cones of effective divisors on the blown-up P^3 in general lines, with O. Dumitrescu and S. Urbinati, arXiv, Rend. Circ. Mat. Palermo (2) 66 (2017), no. 2, 205– 216, proceedings of workshop "Recent advances in linear series and Newton-Okounkov bodies", Padua 2015

9. Vanishing theorems for linearly obstructed divisors, with O. Dumitrescu, J. Algebra, 477, 312-359 (2017)

10. On Segre’s bound for fat points in P^n, with E. Ballico and O. Dumitrescu, J. Pure Appl. Algebra. 220, no. 6, 2307–2323 (2016)

11. On the effective cone of P^n blown-up at n+3 points, with M. C. Brambilla and O. Dumitrescu, Exp. Math. 25, no. 4, 452–465 (2016)

12. On linear systems of P^3 with nine base points,  with M. C. Brambilla and O. Dumitrescu, Ann. Mat. Pura Appl, 195, no. 5, 1551–1574 (2016) 

13. Faithful tropicalisations and torus actions, with J. Draisma, Manuscripta Math. 149, no. 3-4, 315–338 (2016)

14. Degenerations of real irrational toric varieties, with F. Sottile and N. Villamizar, J. Lond. Math. Soc. (2) 92, no. 2, 223-241 (2015)

15. On a notion of speciality of linear systems in P^n, with M. C. Brambilla and O. Dumitrescu, Trans. Am. Math. Soc. 367, no. 8, 5447-5473 (2015)

16. Secant varieties of Segre-Veronese embeddings of (P^1)^r, with A. Laface, Math. Ann. 356 , no. 4, 1455-1470 (2013)

17. Secant degree of toric surfaces and delightful planar toric degenerations, Adv. Geom. 13, no. 2, 211-228 (2013)

18. Apolarity, Hessian and Macaulay polynomials, with L. Di Biagio, Comm. Algebra 41, no. 1, 226-237 (2013)

19. A new proof of the Alexander-Hirschowitz interpolation theorem, Ann. Mat. Pura Appl. Vol. 191, 77-94 (2012)

book chapters:

1. Linear systems of hypersurfaces and beyond, In:  L. Busé. F. Catanese and E. Postinghel,  Algebraic curves and surfaces: a history of shapes,  SISSA Springer Series, Vol. 4 (2023) (short abstract available also at UniTrentoMag)

2. Introduction to the volume Schubert varieties, equivariant cohomology and characteristic classes, IMPANGA15, with J.Buczynski and M.Michalek, EMS Series of Congress Reports (2018)

3. Polynomial Interpolation Problems in Projective Spaces and Products of Projective Lines, In: T. Dokken, G. Muntingh (Eds.), bookseries: Geometry and Computing, vol. 10, SAGA - Advances in ShApes, Geometry, and Algebra, Chapt. 11, 199-216, Springer (2014). 

PhD thesis:

• Degenerations and applications: polynomial interpolation and secant degree, Advisor: Prof. Ciro Ciliberto (2010), pdf

editorial work: 

• Schubert varieties, equivariant cohomology and characteristic classes, IMPANGA15,  J. Buczynski, M. Michalek and E. Postinghel (Eds.), EMS Series of Congress Reports (2018)

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