My current research contains two different topics. The main issue of my work are special kinds of random walks that have some reflection properties. One of them is also known as queuing or Lindley process and has a wide field of applications. The related papers are:
Multidimensional random walk with reflections (Arxiv Link)
On recurrence of the multidimensional Lindley process (https://projecteuclid.org/euclid.ecp/1518426010)
Additionally, I work on a graph theoretically topic concerning colorings of graphs and the distinguishing number of graphs. You can find more details in the follwoing papers.
Distinguishing graphs of maximum valence 3 (Arxiv Link)
Distinguishing locally finite trees (work in progress)
Master thesis: Ordinale Regressionsmodelle (Link)
PhD thesis: Reflected and stopped random walks and the distinguishing number of graphs (Link)