Hello there!

I’m a PhD student at Charles University with Martin Tancer as my advisor. I’m interested in using algebraic tools to solve problems in combinatorial geometry and topology. If you want to get in touch feel free to write me to dbulavka at kam.mff.cuni.cz.

Teaching Winter Semester 2023/2024

Probabilistic techniques - NTIN022 - With Tomáš Hons.
Linear Algebra - NMAI057
Mentoring bachelor students.
Polynomial, rational, exponential, logarithmic functions. Slides

Past teaching

Teaching Summer Semester 2022/2023

Mathematics++ - NMAI071 - With Petr Chmel.
Mentoring bachelor students.

Teaching Winter Semester 2022/2023

Probabilistic techniques - NTIN022.
Mentoring bachelor students.

Teaching Summer Semester 2021/2022

Mathematics++ - NMAI071 - With Petr Chmel.
Topological methods in combinatorics - NDMI014 - With Michael Skotnica.
Mentoring bachelor students.

Teaching Winter Semester 2021/2022

Probabilistic techniques - NTIN022 - With Matěj Konečný.
Linear Algebra - NMAI057
Mentoring bachelor students

Teaching Summer Semester 2020/2021

Mathematics++ - NMAI071
Mentoring bachelor students

Teaching Winter Semester 2020/2021

Probabilistic techniques - NTIN022 - With Matěj Konečný.
Mentoring bachelor students

Teaching Summer Semester 2019/2020

Mathematics++

Preprints

1. D. Bulavka, M. Tancer, M. Tyomkyn: Weak saturation of multipartite hypergraphs. Preprint at arXiv. Presentation
2. D. Bulavka, E. Nevo, Y. Peled: Volume rigidity and algebraic shifting. Preprint at arXiv. Presentation

Publications

1. D. Bulavka, A. Goodarzi, M. Tancer: Optimal bounds for the colorful fractional Helly theorem. Preprint at Arxiv. 37th International Symposium on Computational Geometry (SoCG 2021).
2. D. Bulavka, A. A. Aptekmann, N. A. Méndez, T. Krick, I. E. Sánchez: Thousands of protein linear motif classes may still be undiscovered. PLOS ONE 2021.
3. Aptekmann, A. A., Bulavka, D., Nadra, A. D. and Sánchez, I. E. Transcription factor specificity limits the number of DNA-binding motifs. PLOS ONE 2022.