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
How many times can two trees cross? (with Morteza Saghafian, Maria Saumell, Felix Schröder, Josef Tkadlec and Pavel Valtr) - accapted to LATIN 2026
Edge-Constrained Hamiltonian Paths in a Point Set (with Aleksa Džuklevski, Jiri Fiala, Jan Kratochvil, Giuseppe Liotta, Morteza Saghafian, Maria Saumell and Johannes Zink) - accapted to SOFSEM 2026, arXiv
Crossing and Non-Crossing Families (with Martin Balko and Birgit Vogtenhuber) - accepted to GD 2025, arXiv, slides
Bend number of cocomparability graphs (with Vít Jelínek, Maritn Pergel, Felix Schröder, Peter Stumpf and Pavel Valtr) - accepted to GD 2025, slides
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
come back soon
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