Research
Research interests
Commutative and non-commutative Ring and Semigroup Theory. Matrix Theory. Factorization Theory. Commutative Algebra.
Publications
Publications in journals and conference proceedings
L. Cossu, Some applications of a new approach to factorization, Proceedings of the Conference on Rings and Factorizations, Springer Proceedings in Mathematics and Statistics, to appear. (preprint version)
L. Cossu, S. Tringali, On the finiteness of certain factorization invariants, Ark. Mat., to appear. (preprint version)
L. Cossu, S. Tringali, Factorization under Local Finiteness Conditions, J. Algebra 630 (2023), pp.128–161. (published, preprint version)
L. Cossu, S. Tringali, Abstract Factorization Theorems with Applications to Idempotent Factorizations, Israel J. Math. (2024), online first. (online first, preprint version)
L. Cossu, Idempotent factorization of matrices over a Prüfer domain of rational functions, Le Matematiche 77 (2022), no. 1, pp. 33–45. (published, preprint version)
L. Cossu, P. Zanardo, Idempotent factorizations of singular 2x2 matrices over quadratic integer rings, Linear Multilinear Algebra 70 (2022), no. 2, pp. 297–309. (published, preprint version)
L. Cossu, P. Zanardo, PRINC domains and comaximal factorization domains, J. Algebra Appl. 19 (2020), no. 8, 2050156. (published, preprint version)
L. Cossu, P. Zanardo, Minimal Prüfer-Dress rings and products of idempotent matrices, Houston J. Math. 45 (2019), no. 4, pp. 979-994. (published, preprint version)
L. Cossu, P. Zanardo, Factorizations into idempotent factors of matrices over Prüfer domains, Comm. Algebra 47 (2019), pp. 1818–1828. (published, preprint version)
L. Cossu, P. Zanardo, U. Zannier, Products of elementary matrices and non-Euclidean principal ideal domains, J. Algebra 501 (2018), pp. 182–205. (published, preprint version)
Submitted preprints
L. Cossu, S. Tringali, On factorization in power monoids. (preprint)
Academic publications
L. Cossu, Factorizations of invertible matrices into products of elementary matrices and of singular matrices into products of idempotent matrices, Ph.D thesis (2017). (pdf file)
Other publications
L. Cossu, Products of elementary and idempotent matrices and non-Euclidean PIDs, chapter of Note Seminario Dottorato 2016/2017, Università di Padova. (pdf file).
In preparation
L. Cossu, M. A. Khadam, A. Reinhart, Atoms in monoids of ideals.
L. Cossu, B. Olberding, Patch algebras of spaces of commutative rings.
Scientific communications
Please, check my CV for a complete list of my talks and seminars at international conferences and institutions.
Habilitations
National Scientific qualification as associate professor in the Italian higher education system, for the disciplinary field of 01/A2 - Geometry and Algebra (October 2023-2034).
Professional activities
Referee
Bollettino dell’Unione Matematica Italiana, Communications in Algebra, Communications in Optimization Theory, Filomat, Journal of Algebra and its Applications, Journal of Commutative Algebra, Journal of Pure and Applied Algebra, Open Mathematics, Rendiconti del Seminario Matematico della Università di Padova, Special Matrices.
Reviewer
for Zentralblatt MATH and Mathematical Reviews.
Affiliations
Member of the Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni (GNSAGA) of the Istituto Nazionale di Alta Matematica (INdAM) since 2017.
Member of European Women in Mathematics (EWM) since 2021.
Member of the Marie Curie Alumni Association (MCAA) since 2022, serving in the board of the Austrian chapter (MCA3C) since 2024.
Member of the Unione Matematica Italiana (UMI) and of the European Mathematical Society (EMS) since 2024.