My main interest is Computer Algebra with applications to Algebraic Geometry.

Here is a list of my papers. All papers are available on arXiv 

Published papers on peer-reviewed journals

19. Open Covers and Lex Points of Hilbert schemes over quotient rings via relative marked bases, with Francesca Cioffi, Matthias Orth, Werner M. Seiler. 
Experimental Mathematics, DOI: 10.1080/10586458.2024.2309517

18. The close relation between border and Pommaret marked bases, with Francesca Cioffi.
Collectanea Mathematica 73, pages181–201 (2022). DOI: 10.1007/s13348-021-00313-w
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17. Smoothable Gorenstein points via marked schemes and double-generic initial ideals, with Francesca Cioffi, Margherita Roggero.
Experimental Mathematics 31 (2022), no. 1, 120–137. DOI: 10.1080/10586458.2019.1592034
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16. Computing Quot Schemes via Marked Bases over Quasi-Stable Modules, with Mario Albert, Margherita Roggero, Werner M. Seiler.
Journal of Algebra,  550 (2020), 432–470. DOI: 10.1016/j.jalgebra.2019.12.001

15. On almost revlex ideals with Hilbert function of complete intersections,  with Francesca Cioffi.
Ricerche di Matematica 69 (2020), no. 1, 153–175. DOI: 10.1007/s11587-019-00453-z 

14. Functors of liftings projective schemes, with Francesca Cioffi, Davide Franco.
Journal of Symbolic computation, volume 94, September - October 2019, Pages 105-125. DOI:10.1016/j.jsc.2018.07.003
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13.  Macaulay-like marked bases, with Francesca Cioffi, Margherita Roggero.
Journal of Algebra and Its Applications, Volume 16, Issue 5, 1 (2017), DOI: 10.1142/S0219498817501006 

12.   Double-generic initial ideal and Hilbert scheme, with Francesca Cioffi, Margherita Roggero.
Annali di Matematica Pura e Applicata, Volume 196, Issue 1 (2017), pp 19–41, DOI: 10.1007/s10231-016-0560-0

11.  The scheme of liftings and applications, with Francesca Cioffi, Margherita Guida, Margherita Roggero.
Journal of Pure and Applied Algebra, Volume 220, Issue 1 (2016), Pages 34–54, DOI: 10.1016/j.jpaa.2015.05.041

10.  Quasi-Stable ideals and Borel-fixed ideals with a given Hilbert Polynomial
Applicable Algebra in Engineering, Communication and Computing (2015),  Volume 26, Issue 6, pp 507-525, DOI 10.1007/s00200-015-0263-6
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9.  The locus of points of the Hilbert scheme with bounded regularity, with Edoardo Ballico, Margherita Roggero.
Communications in Algebra, vol. 43, issue 7 (2015),  DOI:10.1080/00927872.2014.907905

8. A Borel open cover of the Hilbert Scheme, with  Paolo Lella, Margherita Roggero.
Journal of Symbolic Computation, vol. 53 (2013), DOI:10.1016/j.jsc.2013.01.001

7. Upgraded methods for the effective computation of marked schemes on a strongly stable ideal, with Francesca Cioffi, Paolo Lella, Margherita Roggero.
Journal of Symbolic Computation, vol. 50 (2013), DOI:10.1016/j.jsc.2012.07.006

6. The cones of Hilbert functions of squarefree modules, Nguyen Dang Hop, Kathrin Vorwerk.
Le Matematiche, vol. 67 n.1 (2012). 

5. Modular Las Vegas Algorithms for Polynomial Absolute Factorization, with Guillaume Chèze, André Galligo.
Journal of Symbolic Computation, vol. 45 (2010), DOI: 10.1016/j.jsc.2010.06.010
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4.  Splitting type, global sections and Chern classes for torsion free sheaves on P^N, with Margherita Roggero.
Journal of the Korean Mathematical Society, vol. 47 no. 6 (2010), DOI: 10.4134/JKMS.2010.47.6.1147

3. Positivity of Chern Classes for reflexive sheaves on P^N, with Margherita Roggero.
GEOMETRIAE DEDICATA, vol. 142, no. 1 (2009), DOI: 10.1007/s10711-009-9362-5

2. On the dimension of the minimal vertex covers semigroup ring of an unmixed bipartite graph, with Vincenzo Micale.
Le Matematiche Vol. LXIII, Fasc. II, pp. 157-163 (2008)

1. The Euler characteristic as a polynomial in the Chern classes
International Journal of Algebra, Vol. 2, no. 13-16, 757-769 (2008)

Preprints 

Editorial Service

Special Issue: 26th International Conference on Applications of Computer Algebra, Virtual, Online, July 23-27, 2021
Applicable Algebra in Engineering, Communication and Computing, Volume 33, issue 6, December 2022.
Issue editors: Cristina Bertone, Michela Ceria, Fatma Karaoglu, Ilias Kotsireas, Teo Mora, Dimitris Simos.

Special Issue: "Algebraic Geometry from an Algorithmic Point of View", ACA 2019, Montréal, Canada.
Applicable Algebra in Engineering, Communication and Computing, Volume 31, issue 5-6, November 2020.
Issue editors: Cristina Bertone, Francesca Cioffi, Luis M. Pardo.