Publications

Hecke orbits and the Mordell-Lang conjecture in distinguished categories

with G. Dill,preprint.[arXiv]

Greatest Common Divisor results on semiabelian varieties and a Conjecture of Silverman

with L. Capuano and A. Turchet,Res. number theory 10, 17 (2024).[link],[arXiv]

Betti maps, Pell equation in polynomials and almost Belyi maps

with L. Capuano and U. Zannier,Forum Math. Sigma 10 (2022), Paper No. e84, 23 pp.[link],[arXiv]

Unlikely Intersections of Curves with Algebraic Subgroups in Semiabelian Varieties

with L. Kühne and H. Schmidt,Selecta Math. (N.S.) 29 (2023), no. 2, Paper No. 18. [link],[arXiv]

Distinguished categories and the Zilber-Pink conjecture

with G. Dill,American Journal of Mathematics, vol. 147 no. 3, 2025, p. 715-778.[link][arXiv]

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

with L. Capuano, L. Mérai, A. Ostafe and M. Sha,Int. Math. Res. Not. IMRN 2022, no. 20, 16094–16137.[link],[arXiv]

On the Zilber-Pink conjecture for complex abelian varieties

with G. Dill,Ann. Sci. Éc. Norm. Supér. (4) 55 (2022), no. 1, 261–284.[link],[arXiv]

Torsion points with multiplicatively dependent coordinates on elliptic curves

with M. Sha,Bull. Lond. Math. Soc. 52, No. 5 (2020), 807-815.[link],[arXiv]

Unlikely Intersections in families of abelian varieties and the polynomial Pell equation

with L. Capuano,Proc. Lond. Math. Soc. 120, No. 2 (2020), 192-219.[link],[arXiv]

CM relations in fibered powers of elliptic families

J. Inst. Math. Jussieu 18 (2019), no. 5, 941-956.[link], [arXiv]Theorem 1.2 as stated in the original paper is not correct. I produced a corrigendum which can be found here.The most recent arXiv version is correct.

Unlikely intersections in products of families of elliptic curves and the multiplicative group

with L. Capuano,Q. J. Math. 68, No. 4 (2017), 1117-1138.[link], [arXiv]

Linear relations in families of powers of elliptic curves

with L. Capuano,Algebra & Number Theory Vol. 10 (2016), No. 1, 195–214.[link], [arXiv]

Algebraic S-integers of fixed degree and bounded height

Acta Arith. 167 (2015), 67-90.[link], [arXiv]

Counting algebraic integers of fixed degree and bounded height

Monatshefte für Mathematik, 175 (2014), no. 1, 25-41.[link], [arXiv]

Counting lattice points and o-minimal structures

with M. Widmer,Int. Math. Res. Not. IMRN (2014), no. 18, 4932–4957.[link], [arXiv]

Additive unit representations in rings over global fields - A survey

with C. Frei and R. Tichy,Publ. Math. Debrecen, 79 (2011), no. 3-4, 291-307.[link], [arXiv]