Research Interests
I am usually interested in problems that involve combinatorial objects which also contain some geometric/topological and/or algebraic structure. Lately I have beeen working in problems in discrete geometry and graph drawing.
Papers
Crossing and Non-Crossing Families (with Martin Balko and Birgit Vogtenhuber) - accepted to GD 2025
Bend number of cocomparability graphs (with Vít Jelínek, Maritn Pergel, Felix Schröder, Peter Stumpf and Pavel Valtr) - accepted to GD 2025
Unbent Collections of Orthogonal Drawings (with Giuseppe Liotta, Tomáš Masařík, Giacomo Ortali, Matthias Pfretzschne, Peter Stumpf, Alexander Wolff, and Johannes Zink) - WG 2025, arXiv - slides
Star-Forest Decompositions of Complete graphs (with Jelena Glišić and Milan Milivojčević) - IWOCA 2024, arXiv, EuroCG 2024 - slides
Convex-Geometric k-planar Graphs are Convex-Geometric (k+1)-quasiplanar - IWOCA 2024, GD2023 (poster abstract) - slides
In preparation
How many times can two trees cross? (with Morteza Saghafian, Maria Saumell, Felix Schröder, Josef Tkadlec and Pavel Valtr )
Edge-Constrained Hamiltonian Paths in a Point Set (with Aleksa Džuklevski, Jiri Fiala, Jan Kratochvil, Giuseppe Liotta, Morteza Saghafian, Maria Saumell and Johannes Zink)
Other
Cross-polytopal Alexander duality - Bachelor reasearch project supervised by Professor Russ Woodroofe - Paper
Relationships between k-planar and h-quasiplanar graphs - Master thesis supervised by Professor Pavel Valtr - it won an award