Publications

Preprints:

• "p-adically convergent loci in varieties arising from periodic continued fractions", with M. Mula, L. Terracini, F. Veneziano (2024), Arxiv;

• "On 𝔓-adic continued fractions with extraneous denominators: some explicit finiteness results", with S. Checcoli, M. Mula and L. Terracini (2023), Arxiv;

• "Quaternionic p-adic continued fractions", with M. Mula and L. Terracini (2022), Arxiv.

Accepted Papers:

• "Greatest Common Divisors results on semiabelian varieties and a conjecture of Silverman", with F. Barroero and A. Turchet, 

Research in Number Theory, 10 (17) (2024), Arxiv;

• "On periodicity of p-adic Browkin continued fractions", with N. Murru and L. Terracini,

Math. Zeitschrift, 305 (17) (2023) , pp. 1--24,  Arxiv;

•  "An overview on problems of Unlikely Intersections in families of abelian varieties", 

Expositiones Mathematicae, (2023), 41(3), pp. 603–617;

• "Betti maps, Pell equation in polynomials and almost-Belyi maps", with F. Barroero and U. Zannier, 

Forum Math. Sigma 10 (2022), Paper No. e84, 23 pp, Arxiv;

• "On the finiteness of P-adic continued fractions for number fields", with N. Murru and L. Terracini, 

Bull. Soc. Math. France, 4 (150), (2022), pp. 743-772, Arxiv;

• "Lang-Vojta conjecture over function fields for surfaces dominating Gm2  ", with A. Turchet,

European J. Math., 8(2), (2022) 573–610, Arxiv;

• "A note on cyclotomic polynomials and Linear Feedback Shift Registers", with A.J. Di Scala, 

Quaestiones Mathematicae, (2022) 45(11), pp. 1655–1667, Arxiv;

• "Multiplicative and linear dependence in finite fields and on elliptic curves modulo primes", 

with F. Barroero, L. Mérai, A. Ostafe, and M. Sha, 

Int. Math. Res. Not. IMRN (2022), no. 20, 16094–16137., Arxiv;

• "Unlikely Intersections in families of abelian varieties and the polynomial Pell equation",  with F. Barroero, 

Proc. of LMS, 120 , no. 2, (2020)  192-219 , Arxiv;

• "An effective criterion for periodicity on l-adic continued fractions", with F. Veneziano and U. Zannier, 

Math. Comp. 88 (2018), no. 318, 1851–1882 , Arxiv;

• "Unlikely intersections in products of families of elliptic curves and the multiplicative group", with F. Barroero, 

Quarterly J. Math. 68, No. 4 (2017), 1117-1138, Arxiv;

• "Linear relations on families of powers of elliptic curves”, with F. Barroero, 

Algebra & Number Theory 10, 1 (2016), 195-214, Arxiv;

• "Rational points on Grassmannians and unlikely intersections in tori", with D. Masser, J. Pila and U. Zannier, 

Bull. of LMS (2016) 48 (1): 141-154, Arxiv;

• "A note on upper ramification jumps in abelian extensions of exponent p",  with I. Del Corso,  

Rivista Matematica dell'Università di Parma (2015) vol. 6, N. 2: 317- 329, Arxiv;

• "Unlikely Intersections and applications to Diophantine Geometry", PhD Thesis, (2014).

Book Chapters:

• "Hyperelliptic continued fractions and generalised Jacobians", with  P. Jossen, C. Karolus and F. Veneziano, 

Annals of Mathematics Studies, Volume 2019-January, Issue 202, Pages 56 - 101, Link.

Notes:

• Handwritten notes from the course: "L'Equazione di Pell in interi e polinomi", prof. U. Zannier, Scuola Normale Superiore, available here.