Book:

Discrete Mathematics (German) - Springer-Spektrum (2019)


Preprints:

Perfect powers in value sets and orbits of polynomials (with A. Ostafe and I. Shparlinski) - (2019) [arXiv]


Peer-reviewed articles:

Fields generated by finite rank subgroups of \(\overline{\mathbb{Q}}^*\) - accepted for publication in Int. J. Number Theory (2020) [arXiv]

On the behavior of Mahler's measure under iteration (with P. Fili and M. Zhang) - Monatsh. Math. 193 (2020), no.1, pp.61-86 [open access]

Quantitative height bounds under splitting conditions (with P. Fili) - Trans. Amer. Math. Soc. 372 (2019), no.7, pp.4605-4626 [arXiv]

Small totally p-adic algebraic numbers - Int. J. Number Theory 14 (2018), no.10, pp.2687-2697 [arXiv]

A note on extensions of \(\mathbb{Q}^{\rm tr}\) - J. Théor. Nombres Bordeaux 28 (2016), no.3, pp.735-742 [arXiv]

Heights and totally p-adic numbers - Acta Arith. 171 (2015), no.3, pp.277-291 [arXiv, video]

Small points and free abelian groups (with R. Grizzard and P. Habegger) - Int. Math. Res. Not. (2015), no.20, pp.10657-10679 [arXiv]

Heights of points with bounded ramification - Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 14 (2015), no.3, pp.965-981 [arXiv]

Heights and totally real numbers - Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 24 (2013), no.4, pp.471-483 [arXiv]


Theses:

Fields with the Bogomolov property [pdf] (PhD-thesis, advisor: Prof. Dr. Walter Gubler)

Density of squarefree values of integer polynomials [pdf] (Diploma-thesis, German)


Miscellaneous:

News on quadratic polynomials - Snapshots on Modern Mathematics from Oberwolfach no.2 (2017) [pdf]

Height bounds for algebraic numbers under splitting conditions (with P. Fili) - Oberwolfach Reports no.21 (2016) [pdf]

A dynamical Bogomolov property - unpublished note (2011) [arXiv]