Research

My research area is geometric group theory with two main topics: boundaries of finitely generated groups, and non-positively curved complexes, such as CAT(0) cube complexes and systolic complexes. Before my PhD, I did research in graph theory. 

Publications: 

Published and accepted papers in geometric group theory

1. With Kasia Jankiewicz, Kim Ruane, Bakul Sathaye, The boundary rigidity of lattices in products of trees, Top. Proc. 64 (2024), 181–194 (arXiv: 2109.09175).

2. With Elia Fioravanti, Alessandro Sisto, Stefanie Zbinden, On the Čech cohomology of Morse boundaries, Adv. Math., 443: Paper No. 109601, 53, (2024) (arXiv: 2303.15981).     

3. Right-angled Coxeter groups with totally disconnected Morse boundaries, Geom. Dedicata 217, no. 4, Paper No. 71, 40 pp.  (2023); (pdf).

4. With Elia Fioravanti, Connected components of Morse boundaries of graphs of groups,  Pacific Journal of Mathematics 317 , no. 2, 339–361, 2022. (pdf) 

5. With Marius Graeber, Nir Lazarovich, Emily Stark, Surprising circles in Morse boundaries of right-angled Coxeter groups, Topology and its Applications 294, p.107645,  2021. (pdf)

6. With Petra Schwer, Koen Struyve, The triangle groups (2,4,4), (2,4,5) are not systolic, Graphs and Combinatorics 36(6), p. 1741 - 1782, 2020. (pdf)

Published and accepted papers in graph theory

1.  With Maria Axenovich, High girth hypergraphs with unavoidable monochromatic or rainbow edges, Discussiones Mathematicae Graph Theory, 42(2), 471-484, 2022. (pdf).

2.  With Thomas Bläsius, Ignaz Rutter, Simultaneous embedding: Edge orderings, relative positions, cutvertices, Graph drawing, Vol. 8242. Lecture Notes in Comput. Sci. Springer, p. 220-231, 2013. (pdf)

Submitted papers

• With Bobby Miraftab, Stefanie Zbinden, Subgroups arising from connected components in the Morse boundary, arXiv

• With Pallavi Dani, Alexandra Edletzberger, and Christopher Cashen RAAGedy right-angled Coxeter groups, arXiv

• PhD thesis: Contracting boundaries of amalgamated free products of CAT(0) groups with applications for right-angled Coxeter groups 

Advisors: Petra Schwer, Tobias Hartnick

• Master thesis: Colorability of hypergraphs without monochromatic and rainbow edges 

Advisors: Maria Axenovich and Torsten Ueckerdt

• Bachelor thesis: Simultaneous embeddings of outerplanar graphs (in German)