Publications

The least prime number in a Beatty sequence (with J. Steuding), J. Number Theory 169, 144–159 (2016), doi:10.1016/j.jnt.2016.05.022, (preprint: arXiv:1512.08382 [math.NT])
A Loewner Equation for Infinitely Many Slits (with N. Technau), Comput. Methods Funct. Theory (2017) 17: 255, doi:10.1007/s40315-016-0179-6
Emptiness Problems for Integer Circuits (with D. Barth, M. Beck, T. Dose, Ch. Glaßer and L. Michler),
- technical report available as TR17-012 at the ECCC
- conference version accepted at MFCS 2017, doi:10.4230/LIPIcs.MFCS.2017.33
The maximal order of iterated multiplicative functions (with Ch. Elsholtz and N. Technau), submitted, (preprint: arXiv:1709.04799 [math.NT])
Modular hyperbolas and Beatty sequences submitted, (preprint: arXiv:1808.00413 [math.NT])
Kloosterman sums with twice-differentiable functions (with I. E. Shparlinski), submitted, (preprint: arXiv:1902.05989 [math.NT])

In preparation

Generalised Beatty sets
On the distribution of αp modulo one in imaginary quadratic number fields with class number one (with S. Baier)

On Beatty sets and some generalisations thereof doctoral dissertation (2018), Würzburg University Press, URN: urn:nbn:de:bvb:20-opus-163303

On a result of F. P. Boca on the number of products of certain matrices with trace ≤ N Arithmetik an der A7, Würzburg, 30.01.2015
Special values in Beatty sequences Arithmetik an der A7, Hildesheim, 15.01.2016
The least prime number in a Beatty sequence Royal Holloway Number Theory Seminar, Egham (Surrey), 11.05.2016
Iterating number-theoretic functions for fun and no profit whatsoever The Joint Über-Seminar, Würzburg, 19.05.2016
The least prime number in a Beatty sequence Elementare und Analytische Zahlentheorie (ElAZ2016), Stobl am Wolfgangsee, 07.09.2016
On the maximal order of some arithmetic functions The Sixth International Conference Analytic and Probabilistic Methods in Number Theory, Palanga, 16.09.2016
Kloosterman sums with Beatty sequences Arithmetik an der A7, Würzburg, 22.–23.06.2017
Generalised Beatty sets Oberseminar Zahlentheorie, Würzburg, 08.12.2017
On the distribution of αp modulo one in imaginary quadratic number fields with class number one Zahlentheoretisches Kolloquium, Graz, 11.01.2019