Research

I am interested in cryptographically relevant Boolean and vectorial functions, such as APN functions and their generalizations. In particular, I focus on connections to combinatorics and design theory.

Preprints

Nonvanishing k-flats of Boolean and vectorial functions (March 2026). arXiv: https://arxiv.org/abs/2603.28266

Publications

Equivalence Problems of Almost Perfect Nonlinear Functions and Disjoint Difference Families. Dissertation. Otto-von-Guericke-Universität Magdeburg, 2021. https://dx.doi.org/10.25673/36521
with Yue Zhou. A lower bound on the number of inequivalent APN functions. J. Combin. Theory Ser. A 186 (2022), Paper No. 105554, 38 pp. https://doi.org/10.1016/j.jcta.2021.105554
with Yue Zhou. The number of almost perfect nonlinear functions grows exponentially. In: J. Cryptology 34.4 (2021), 37 pp. https://doi.org/10.1007/s00145-020-09373-w

with Alexander Pott. On solving isomorphism problems about 2-designs using block intersection numbers. In: Finite Fields and their Applications. Proceedings of The 14th International Conference on Finite Fields and their Applications, Vancouver, June 3-7, 2019. Ed. by J. A. Davis. Berlin, Boston: DeGruyter, 2020, pp. 51–70. https://doi.org/10.1515/9783110621730-005
with Alexander Pott. Solving isomorphism problems about 2-designs from disjoint difference families. In: J. Combin. Des. 27.5 (2019), pp. 277-294. https://doi.org/10.1002/jcd.21648

Talks

KOLKOM 2025, November 14-15, 2025, Bielefeld
Kolloquium Bildungsforschung with Stefanie Rach, April 24, 2024, Magdeburg (Germany)
KOLKOM 2019, November 8-9, 2019, Paderborn (Germany)
Seminar talk, September 10, 2019, Changsha (China)
Fq14, June 3-7, 2019, Vancouver (Canada)
Combinatorics 2018, June 3-9, 2018, Arco (Italy)
GDMV 2018, March 5-9, 2018, Paderborn (Germany)