My research interests lie in Commutative Algebra, Combinatorics and Number Theory.
Papers
An upper bound for the multiplicity of one-dimensional Cohen-Macaulay rings (with M. D'Anna), submitted.
Nearly Gorenstein numerical semigroups with five generators have bounded type (with F. Strazzanti), Communications in Algebra, to appear.
On minimal presentations of numerical monoids (with A. Sammartano), Bulletin of the London Mathematical Society, to appear.
Open problems on relations of numerical semigroups (with A. Sammartano), Recent progress in Rings and Factorization Theory, Springer, to appear.
F-threshold of determinantal rings (with B. Betti, F. Romeo and J. Singh), Communications in Algebra (2024), 14 pages.
Bounds for syzygies of monomial curves (with G. Caviglia, A. Sammartano), Proceedings of the American Mathematical Society 152, 3665-3678 (2024).
Bounds for invariants of numerical semigroups and Wilf’s conjecture (with M. D'Anna), Mathematische Zeitschrift 304, 35 (2023).
On the boundedness of the type of an almost Gorenstein monomial curve in 𝔸5, Communications in Algebra, 51(3), 1179–1185 (2022).
Lacunary polynomial compositions, Rivista di Matematica dell'Università di Parma 13 (1), (2022).
On sparse perfect powers, Combinatorics and Number Theory 10 (4), 261-270 (2021).
Nearly Gorenstein vs Almost Gorenstein Affine Monomial Curves (with F. Strazzanti), Mediterranean Journal of Mathematics 18, 127 (2021).
Generators of a fraction of a numerical semigroup, Journal of Commutative Algebra 11(3), 389-400 (2019).
Delta sets for symmetric numerical semigroups with embedding dimension three (with P. A. García-Sánchez and D. Llena), Aequationes Mathematicae 91, 579–600 (2017).
Delta sets for nonsymmetric numerical semigroups with embedding dimension three (with P. A. García-Sánchez and D. Llena), Forum Mathematicum 30 (1), 15-30 (2017).
Minimal relations and the Diophantine Frobenius problem in embedding dimension three, Journal of Number Theory 176, 174-183 (2017).
On the type of an almost Gorenstein monomial curve, Journal of Algebra 456, 266-277 (2016).
On the least positive solution to a proportionally modular Diophantine inequality, Integers 16 (2016).
On integers which are representable as sums of large squares, International Journal of Number Theory 11 (08), 2505-2511 (2015).
On a conjecture by Wilf about the Frobenius number (with A. Sammartano), Mathematische Zeitschrift 280, 47-53 (2015).
The first elements of the quotient of a numerical semigroup by a positive integer, Semigroup Forum 90, 126-134 (2015).