Publications

(joint with A. Ostafe and U. Zannier) "Cyclotomic and abelian points in backward orbits of rational functions", Advances in Mathematics 438 (2024) . ArXiv version.

(joint with S. Costa and S. Della Fiore) "Higher degree Erdős  distinct evaluations problem", Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications EUROCOMB'23, 2023. Journal link.

(joint with D. Goldfeld and G. Micheli) "Number theoretical locally recoverable codes", Journal of Algebra and its Applications (to appear).  ArXiv version.

(joint with G. Micheli), "On a conjecture on irreducible polynomials over finite fields with restricted coefficients", In Arithmetic of Finite Fields, volume 13638 of Lecture Notes in Computer Science, 3-13, Springer, Cham, 2023.  Journal link.

"A survey on abelian dynamical Galois groups", Rendiconti del Seminario Matematico di Università e Politecnico di Torino, vol. 80 (2022), 41-54. Journal link.

(joint with A. Dukes and G. Micheli) "Optimal selection for good polynomials of degree up to five", Designs, Codes and Cryptography 90 (2022), no. 6, 1427-1436. ArXiv version.

(joint with G. Micheli): "Exceptional scatteredness in prime degree", Journal of Algebra 565 (2021), 691–701. ArXiv version.

(joint with C. Pagano): "Constraining images of quadratic arboreal representations", International Mathematics Research Notices  2020, 2020(22), pp. 8486-8510. ArXiv version.

(joint with G. Micheli): "An equivariant isomorphism theorem for mod p reductions of arboreal Galois representations", Transactions of the American Mathematical Society , 373 (2020), no. 12, 8525-8542. ArXiv version.

(joint with G. Micheli): "Full Classification of permutation rational functions and complete rational functions of degree three over finite fields", Designs, Codes and Cryptography, 88, no. 5, 867-886, 2020. ArXiv version.

(joint with P. Bruin): "Strongly modular models of Q-curves", International Journal of Number Theory, 15, no. 3, 505–526, 2019. ArXiv version.

(joint with G. Micheli and R. Schnyder): "Irreducible compositions of degree two polynomials over finite fields have regular structure", The Quarterly Journal of Mathematics, 69, no. 3, 1089–1099, 2018. ArXiv version.

"The set of stable primes for polynomial sequences with large Galois group", Proceedings of the American Mathematical Society, 146(7), 2773–2784, 2018. ArXiv version.

(joint with P. Bruin): “On L-functions of quadratic Q-curves”, Mathematics of Computation, 87, no. 309, 459–499, 2018. ArXiv version.

(joint with G. Micheli and R. Schnyder): “On sets of irreducible polynomials closed by composition”, In Arithmetic of Finite Fields, volume 10064 of Lecture Notes in Computer Science, 77–83, Springer, Cham, 2017. ArXiv version.

(joint with G. Micheli): “On the existence of infinite, non-trivial F-sets”, Journal of Number Theory, 1–12, 168 (2016). ArXiv version.

(joint with G. Micheli): “On the Mertens-Cesàro theorem for number fields”, Bulletin of the Australian Mathematical Society, 93(2), 199–210, 2016. ArXiv version.

(joint with C. Pagano and D. Casazza) "The inverse problem for arboreal Galois representations of index two". ArXiv version.

(joint with C. Pagano) "Abelian dynamical Galois groups for unicritical polynomials". ArXiv version.

(joint with S. Costa and S. Della Fiore) "Variants of the Erdős distinct sums problem and variance method". ArXiv version.