Hello in there!

Since September 2025 I’m an AARMS postdoc at Dalhousie University with Sara Faridi as my advisor. Before, I was postdoc at the Hebrew University of Jerusalem with Eran Nevo as my advisor. An even before that I was a PhD student at Charles University with Martin Tancer as my advisor. I’m interested in using algebraic and topological tools to solve problems in extremal combinatorics. If you want to get in touch feel free to write me to dbulavka at kam.mff.cuni.cz.

Publications in peer-reviewed journals:

1. A Hilton-Milner theorem for exterior algebras.
   With Francesca Gandini and Russ Woodroofe.
   Accepted at Transactions of the London Mathematical Society.
   Preprint.

2. A short proof of the Hilton-Milner Theorem.
   With Russ Woodroofe.
   Accepted at Canadian Mathematical Bulletin.
   Preprint.

3. Computing shortest closed curves on non-orientable surfaces.
   With Éric Colin de Verdière and Niloufar Fuladi.
   Journal of Computational Geometry 16 (2):237–264.
   40th International Symposium on Computational Geometry 2024.
   Preprint.

4. Volume rigidity and algebraic shifting.
   With Eran Nevo and Yuval Peled.
   Journal of Combinatorial Theory, Series B, 170, 189-202.
   35th International Conference on Formal Power Series and Algebraic Combinatorics 2023.
   Preprint.

5. Weak saturation of multipartite hypergraphs.
   With Martin Tancer and Mykhaylo Tyomkyn.
   Combinatorica 43, 1081–1102
   Preprint.
   

6. Transcription factor specificity limits the number of DNA-binding motifs.
   With Ariel A. Aptekmann, Alejandro D. Nadra and Ignacio E. Sánchez.
   PLoS ONE 17(1).

7. Thousands of protein linear motif classes may still be undiscovered.
   With Ariel A. Aptekmann, Nicolás A. Méndez, Teresa Krick and Ignacio E. Sánchez.
   PLoS ONE 16(5).

Publications in peer-reviewed conference proceedings without journal version:

1. Strict Erdős-Ko-Rado theorems for simplicial complexes.
   With Russ Woodroofe.
   European Conference on Combinatorics, Graph Theory and Applications 2023.
   Preprint

2. Optimal bounds for the colorful fractional Helly theorem.
   With Afshin Goodarzi and Martin Tancer.
   37th International Symposium on Computational Geometry 2021.
   Preprint.

Preprints:

1. The typical algebraic shifting of a surface.
   With Eran Nevo and Yuval Peled.
   Preprint.

2. Two Lower Bounds for Random Point Sets via Negative Association.
   With Olivier Devillers, Philippe Duchon, Marc Glisse and Xavier Goaoc.
   Preprint.