Buch:

Diskrete Mathematik. Ein kompakter Einstieg - Springer-Spektrum (2019)


Artikel in Fachzeitschriften:

[1] Two remarks on Narkiewicz's property (P) - Res. Number Theory 8, 60 (2022) [open access]

[2] Wandering points for the Mahler measure (mit P. Fili und M. Zhang) - Acta Arith. 204 (2022), no.3, pp.225-252 [arXiv]

[3] Perfect powers in value sets and orbits of polynomials (mit A. Ostafe und I. Shparlinski) - New York J. Math. 27 (2021), pp.903-917 [open access]

[4] Fields generated by finite rank subgroups of \(\overline{\mathbb{Q}}^*\) - Int. J. Number Theory 17 (2021), no.5, pp.1079-1089 [arXiv]

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

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

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

Der Inhalt von [7] wird auch im Buch Around the unit circle, von J. McKee und C. Smyth, behandelt.

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

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

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

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

[11'] Erratum to "Heights of points with bounded ramification" - Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 14 (2023), pp. 1893-1894

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


Abschlussarbeiten:

Fields with the Bogomolov property [pdf] (Dissertation, Betreuer: W. Gubler)

Die Dichte quadratfreier Werte ganzzahliger Polynome [pdf] (Diplomarbeit)


Sonstiges:

News on quadratic polynomials - Schnappschüsse moderner Mathematik aus Oberwolfach no.2 (2017) [pdf]

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

A dynamical Bogomolov property - unveröffentlichte Notiz (2011) [arXiv]