# Publications

Book:

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

Submitted articles:

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

Peer-reviewed articles:

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 $\mathbb{Q}^{tr}$ - 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]

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A Dynamical Bogomolov Property - unpublished preprint (2011) [arXiv]