Preprints:
(with A.M. Bigatti and M. Torielli), A new iterative algorithm for comprehensive Gröbner systems, arXiv:2404.13514. Submitted.
(with S. Marchesi and M. Torielli), Lefschetz properties and the Jacobian algebra of 3-dimensional hyperplane arrangements, arXiv:2310.17794. Submitted.
(with F. Kazemnejad, B. Pahlavsay and M. Torielli), Total outer- connected domination number of middle graphs, arXiv:2308.02127. Submitted.
( with F. Kazemnejad, B. Pahlavsay and M. Torielli), Connected and outer-connected domination number of middle graphs, arXiv:2206.15439. Submitted.
List of accepted publications:
(with P. Das and S. Settepanella), The generalized Sylvester’s and orchard problems via discriminantal arrangement. arXiv:2201.03007. Innovations in Incidence Geometry Algebraic, Topological and Combinatorial, vol. 21(1), 117-130, 2024. DOI: 10.2140/iig.2024.21.117 https://msp.org/iig/2024/21-1/p07.xhtml.
(with F. Kazemnejad, B. Pahlavsay and M. Torielli), Total domination number of middle graphs. arXiv:2204.07040. Electronic Journal of Graph Theory and Applications, vol. 10(1), 275-288, 2022.
http://dx.doi.org/10.5614/ejgta.2022.10.1.19.
(with F. Kazemnejad, B. Pahlavsay and M. Torielli), Domination number of middle graphs. arXiv:2008.02975. Transactions on Combinatorics, vol. 12(2), 79-91, 2023. https://doi.org/10.22108/TOC.2022.131151.1927.
(with F. Kazemnejad, B. Pahlavsay and M. Torielli), Total dominator coloring number of middle graphs. arXiv:2104.12305. Discrete Mathematics, Algorithms and Applications, 15(2), Article no. 2250076, 2023. https://doi.org/10.1142/S1793830922500768.
(with M. Torielli), k-Lefschetz properties, sectional matrices and hyperplane arrangements. arXiv:2003.06294. Journal of Algebra, vol. 590, 215-233, 2021. https://doi.org/10.1016/j.jalgebra.2021.10.014.
(with M. Torielli), Combinatorially equivalent hyperplane arrangements. arXiv:1906.05463. Advances in Applied Mathematics, vol. 128, 2021. https://doi.org/10.1016/j.aam.2021.102202.
(with B. Pahlavsay and M. Torielli), Domination for latin square graphs. arXiv:1911.10673. Graphs and Combinatorics, vol. 37(3), 971-985, 2021. https://doi.org/10.1007/s00373-021-02297-7.
(with M. Torielli), Localization of plus-one generated arrangements. arXiv:1908.11667. Communications in Algebra, vol. 49(1), 301-309, 2021. https:// doi.org/10.1080/00927872.2020.1798976.
(with M. Torielli), Lefschetz properties and hyperplane arrangements. arXiv:1911.04083. Journal of Algebra, vol. 555, 289-304, 2020. https://doi.org/10.1016/j.jalgebra.2020.02.039.
(with B. Pahlavsay and M. Torielli) "3-tuple total domination number of rook's graphs". arXiv:1807.08104. To appear in Discussiones Mathematicae Graph Theory. https://doi.org/10.7151/dmgt.2242.
(with M. Torielli) "Hyperplane arrangements in CoCoA". arxiv:1805.02366. Journal of Software for Algebra and Geometry, vol. 9(1), 43-54, 2019. DOI 10.2140/jsag.2019.9.43.
(with M. Torielli) "Free hyperplane arrangements over arbitrary fields". arXiv:1803.09908. Journal of Algebraic Combinatorics, vol. 52(2), 237-249, 2020 . https://doi.org/10.1007/s10801-019-00901-x.
(with A.M. Bigatti, and M. Torielli) "New Characterizations of Freeness for Hyperplane Arrangements". arXiv:1801.09868. Journal of Algebraic Combinatorics, vol. 51(2), 297-315, 2020. https://doi.org/10.1007/s10801-019-00876-9.
(with J.A. Abbott, A.M. Bigatti, and L. Robbiano) "Computing and Using Minimal Polynomials". arXiv: 1702.07262. Journal of Symbolic Computation, vol. 100, 137-163, 2020. https://doi.org/10.1016/j.jsc.2019.07.022.
(with A.M. Bigatti, and M. Torielli) "Extremal behavior in Sectional Matrices". arXiv: 1702.03292. Journal of Algebra and its Applications, vol. 18(3), 2019. https://doi.org/10.1142/s02194-988-1950-0415.
Extended Abstracts & Proceedings:
(with A.M. Bigatti and M. Torielli), Two new characterizations of free hyperplane arrangements. Monografias de la Real Academia de Ciencias. Zaragoza. 43: 59-62, 2018. ISSN: 1132-6360
(with J. Abbott and A.M. Bigatti), New in Cocoa-5.2.4 and Cocoalib-0.99600 for SC-square. CEUR Workshop Proceedings, vol. 2189, 88-94.
(with A.M. Bigatti and M. Torielli), Generic initial ideals, sectional matrices and free hyperplane arrangements, RIMS Kokyuroku 2138 "Computer Algebra - Theory and its Applications", Research Institute for Mathematical Sciences, Kyoto University, 119-123.
(with M. Torielli), Free hyperplane arrangements over arbitrary fields and their computation with CoCoA, RIMS Kokyuroku 2138 "Computer Algebra - Theory and its Applications", Research Institute for Mathematical Sciences, Kyoto University, 124-129.
Ph.D. thesis:
"Minimal Polynomials, Sectional Matrices, and Applications". Ph.D. thesis, University of Genova, April 2017.