Research

List of publications:

- Accepted paper:

1. Free divisors and their deformations. Ph.D. Thesis submitted at Warwick University (2012). 

2. Deformations of free and linear free divisors. Ann. Ist. Fourier, vol. 63(6), 2097-2136 (2013). arXiv: 1110.0366v3 .

3. (with S.Nazir and M.Yoshinaga), On admissibility of certain local systems. Topology and its Applications, vol. 178, 288-299, (2014). arXiv: 1311.1848.

4. (with M.Yoshinaga), Resonant bands, Aomoto complex, and real 4-nets. Journal of Singularities, vol. 11, 33-50, (2015). arXiv: 1404.5014.

5. (with A.M. Bigatti and E. Palezzato), 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.

6. (with W. Guo), On the Falk invariant of signed graphic arrangements. arXiv: 1703.09402. Graphs and Combinatorics, vol. 34(3), 477-488, (2018). https://doi.org/10.1007/s00373-018-1887-7.

7. (with D. Suyama and S. Tsujie), Signed graphs and freeness of the Weyl subarrangements of type B_l. arXiv:1707.01967. Discrete Mathematics, vol. 342(1), 233-249, 2019.  https://doi.org/10.1016/j.disc.2018.09.029. 

8. (with E. Palezzato), 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.

9. (with A.M. Bigatti and E. Palezzato), 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.

10. (with E. Palezzato), 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.

11. (with B. Pahlavsay and E. Palezzato), 3-tuple total domination number of rook's graphs. arXiv:1807.08104. Discussiones Mathematicae Graph Theory, 42, 15-37, 2022. https://doi.org/10.7151/dmgt.2242.

12. (with S.Settepanella), On an explicit correspondence between nbc basis, chambers and minimal complex for real super solvable arrangements. arXiv: 1503.05721. Australasian Journal of Combinatorics, vol. 75(2), 223-245, (2019).

13. (with E. Palezzato), 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.

14. (with W. Guo), On the Falk invariant of hyperplane arrangements attached to gain graphs. arXiv:1707.08449. Australasian Journal of Combinatorics, vol. 77(3), 301-317, 2020.

15. (with S. Tsujie), Freeness of hyperplane arrangements between boolean arrangements and Well arrangements of type B_l. arXiv:1807.02432. The Electronic Journal of Combinatorics, vol. 27(3), 2020. https://doi.org/10.37236/9341.

16. (with E. Palezzato), 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.

17. (with W. Guo), On the Falk invariant of Shi and Linial arrangements. arXiv:2101.04517. Discrete & Computational Geometry, vol. 66(2), 751-768, 2021. https://doi.org/10.1007/s00454-020-00266-0. 

18. (with B. Pahlavsay and E. Palezzato), Domination in latin square graphs. arXiv:1911.10673. Graphs and Combinatorics, vol. 37(3), 971-985, 2021. https://doi.org/10.1007/s00373-021-02297-7.

19. (with E. Palezzato), Combinatorially equivalent hyperplane arrangements. arXiv:1906.05463. Advances in Applied Mathematics, vol. 128, 2021, https://doi.org/10.1016/j.aam.2021.102202.

20. Freeness for multiarrangements of hyperplanes over arbitrary fields. arXiv:1912.09266. Communications in Algebra, vol. 50(1), 292-299, 2022.  https://doi.org/10.1080/00927872.2021.1956514.

21. (with E. Palezzato), 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.

22. (with F. Kazemnejad, B. Pahlavsay and E. Palezzato), 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.

23. (with F. Kazemnejad, B. Pahlavsay and E. Palezzato), Total domination number of middle graphs. aXiv:2204.07040. Electronic Journal of Graph Theory and Applications, 10(1), 275-288, 2022. http://dx.doi.org/10.5614/ejgta.2022.10.1.19.

24. (with F. Kazemnejad, B. Pahlavsay and E. Palezzato), Domination number of middle graphs. arXiv:2008.02975. Transactions on Combinatorics, 12(2), 79-91, 2023. https://doi.org/10.22108/TOC.2022.131151.1927.

 Submitted papers:

1. (with F. Kazemnejad, B. Pahlavsay and E. Palezzato), Connected and outer-connected domination number of middle graphs. ArXiv:2206.15439.

2. (with F. Kazemnejad, B. Pahlavsay and E. Palezzato), Total outer-connecyed domination number of middle graphs. Arxiv:2308.02127.

3. (with S. Marchesi and E. Palezzato), Lefschetz properties and the JAcobian algebra of 3-dimensional hyperplane arrangements. Arxiv:2310.17794.

4. (with D. Suyama and S. Tsujie), Freeness of hyperplane arrangements associated with gain graphs. ArXiv:2403.08304.

5. (with A.M. Bigatti and E. Palezzato), A new iterative algorithm for comprehensive Groebner systems. ArXiv:2404.13514.

Other publications/Extended abstract:

1. (with A.M. Bigatti and E. Palezzato), Two new characterizations of free hyperplane arrangements. Monografias de la Real Academia de Ciencias. Zaragoza. 43: 59-62, 2018. ISSN: 1132-6360.

2. (with A.M. Bigatti and E. Palezzato), 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, 2019.

3. (with E. Palezzato), 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, 2019.

4. (with E. Palezzato), Hyperplane arrangements and k-Lefschetz properties. Mathematisches Forschungsinstitut Oberwolfach, Report No. 5/2021 "Logarithmic Vector Fields and Freeness of Divisors and Arrangements: New perspectives and applications'', https://doi.org/10.4171/OWR/2021/5.