Libri realizzati in lingua straniera

Lecture Notes on Diophantine Analysis
Edizioni Della Normale, Appunti, n. 8, with an Appendix by F. Amoroso

Parti di libro realizzate in italiano

Risultati e metodi nella teoria delle equazioni diofantee
Articolo nell'opera 'La matematica', Vol. II, Einaudi, Torino, 2008, pp. 287-311.

Parti di libro realizzate in lingua straniera

Some famous problems in the History of the Theory of Numbers
Mathematics and Culture in Europe, Ed. by M. Manaresi, Springer-Verlag, pp. 305-318 (translated by R. Scognamillo from the italian, Matematica e cultura in Europa, vol. Springer-Verlag 2005).

Roth's theorem, integral points and certain ramified covers of P_1
in. Analytic Number Theory, Essays in Honour of Kalus Roth, W. Chen, W.Gowers, H. Halberstam, W. Schmidt, R. Vaughan Edts., Cambridge University Press, 2009

Articoli su riviste internazionali

On the rational approximations to the powers of an algebraic number:solution of two problems of Mahler and Mendès France
Acta Math. 193 (2004), no. 2, 175--191. (with P. Corvaja)

On integral points on surfaces.
Ann. of Math. (2) 160 (2004), no. 2, 705--726. (with P. Corvaja)

On the integer solutions of exponential equations in function fields.
Ann. Inst. Fourier (Grenoble) 54 (2004), no. 4, 849--874.

A lower bound for periods of matrices.
Comm. Math. Phys. 252 (2004), no. 1-3, 535--541. (with P. Corvaja and Z. Rudnick)

On a general Thue's equation.
Amer. J. Math. 126 (2004), no. 5, 1033--1055. (with P. Corvaja)

On the number of rational points on certain elliptic curves.
(Russian) Izv. Ross. Akad. Nauk Ser. Mat. 68 (2004), no. 3, 5--14; translation in Izv. Math. 68 (2004), no. 3, 437--445 (with E. Bombieri)

$S$-unit points on analytic hypersurfaces
Ann. Sci. École Norm. Sup. (4) 38 (2005), no. 1, 76--92. (with P. Corvaja)

On the integral points on the complement of ramification-divisors.
J. Inst. Math. Jussieu 4 (2005), no. 2, 317--330.

On the length of the continued fraction for values of quotients of power sums
Journal de Theorie des Nombres de Bordeaux, 17 (2005), 737-748 (with P. Corvaja)

Intersecting curves and algebraic subgroups: conjectures and more results.
Trans. Amer. Math. Soc. 358 (2006), no. 5, 2247--2257, (with E. Bombieri and D. Masser)

On the integral points on certain surfaces.
International Math. Research Notices, 8 (2006), 1-20. (with P. Corvaja)

Addendum to: "On a general Thue's equation"
Amer. J. Math. 128 (2006), no. 4, 1057--1066, with P. Corvaja

On the Greatest Prime Factor of Markov Pairs
Rend. Sem. Mat. Univ. Padova, Vol. 116, 253-260 (with P. Corvaja)

On a local-global principle for the divisibility of a rational point by a positive integer
Bull. London Math. Soc., Vol. 39, No. 1 (2007), 27-34. (with R. Dvornicich)

On the number of terms of a composite polynomial
Acta Arithmetica, 127.2 (2007) , 157-167.

Cyclotomic Diophantine Problems
Duke Mathematical Journal, No. 3 (2007), 527-554 (with R. Dvornicich). ottobre 2007

Equations in the Hadamard ring of rational functions
Annali Scuola Normale Superiore di Pisa, Cl. Sci. Ser. V, Vol. VI (coll. A. Ferretti)

Anomalous subvarieties---structure theorems and applications.
International Mathematics Research Notices, (with Bombieri, E.; Masser, D) no. 19, 33 pp. 11G10

Some cases of Vojta's conjecture on integral points over function fields.
Journal of Algebraic Geometry 17 (2008), no. 2, 295--333. 11G05 (11G35 14Gxx) (with P. Corvaja - submitted 2007)

On the maximal order of a torsion point on a curve in G_m^n.
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 19 (2008), no. 1, 73--78. 11Gxx (with P. Corvaja - submitted 2007)

Rational points in periodic analytic sets and the Manin-Mumford conjecture.
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 19 (2008), no. 2, 149--162. (con Jonathan Pila - submitted 2008)

Torsion anomalous points and families of elliptic curves.
C. R. Math. Acad. Sci. Paris 346 (2008), no. 9-10, 491--494. (con David Masser - submitted 2008)

Intersecting a plane with algebraic subgroups of multiplicative groups.
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 7 (2008), no. 1, 51--80. 11G35 (11G50 14G25 14J20) (con Enrico Bombieri e David Masser)

On composite lacunary polynomials and the proof of a conjecture of Schinzel
Inventiones Mathematicae, vol. 174 (2008), 127-138 (submitted 2006)

Linear equations with unknowns from a multiplicative group in a function field.
Acta Arith. 133 (2008), no. 2, 159--170. (with Jan-Hendrik Evertse - submitted 2006)

On unlikely intersections of complex varieties with tori.
Acta Arith. 133 (2008), no. 4, 309--323. (with Bombieri, E.; Masser, D.) (Submitted 2008, Printed Feb. 2009)

On the properties of Northcott and of Narkiewicz for fields of algebraic numbers.
Funct. Approx. Comment. Math. 39 (2008), , part 1, 163--173. (with R. Dvornicich)

On the number of terms of a power of a polynomial.
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 20 (2009), no. 1, 95--98. (with A. Schinzel)

Atti in convegni o conferenze internazionali

On the integral points on certain algebraic varieties. European Congress of Mathematics
pg. 529--546, Eur. Math. Soc., Zürich, 2005

Diophantine Equations with Linear Recurrences
Journal de Theorie des Nombres de Bordeaux, Vol. 17 (1) (2005), Proceedings of the Journees Arithmetiques 2003, Graz

Applications of the Subspace Theorem to certain diophantine problems
in `Diophantine Approximation', Festschrift for Wolfgang Schmidt, Ed. H.P. Schlickewei, K. Schmidt, R. Tichy, Developements in Mathematics, n. 16, Springer Verlag (con P. Corvaja - submitted 2004)