All publications (in reversed chronological order, selected papers are denoted by ★)

Preprints

  1. (with C. T. Conley and Oleg Pikhurko) Local version of Vizing's theorem for multi-graphs, submitted (2023), [arXiv].
  2. ★ Measurable Vizing's theorem, submitted, (2023), [arXiv].
  3. (with Z. Vidnyánszky) Ramsey, expanders, and Borel chromatic numbers, submitted, (2022), [arXiv].
  4. ★ (with S. Brandt, Y. Chang, C. Grunau, V. Rozhoň, Z. Vidnyánszky) Deterministic Distributed algorithms and Descriptive Combinatorics on Δ-regular trees, submitted, (2022), [arXiv].
  5. ★ (with S. Brandt, Y. Chang, C. Grunau, V. Rozhoň, Z. Vidnyánszky) On Homomorphism Graphs, submitted, (2021), [arXiv].
  6. (with V. Rozhoň) Classification of Local Problems on Paths from the Perspective of Descriptive Combinatorics, submitted, (2021), [arXiv, EuroComb 2021].
  7. (with O. Pikhurko) Large Deviation Principles for Block and Step Graphon Random Graph Models, preprint, (2021), [arXiv].
  8. Borel equivalence relations induced by actions of tsi Polish groups, submitted, (2021), [arXiv].

Publications (published, to appear, accepted)

  1. ★ (with V. Rozhoň) Local Problems on Grids from the Perspective of Distributed Algorithms, Finitary Factors, and Descriptive Combinatorics, accepted to Adv. Math. (2023) [arXiv], (Previous, now irrelevant, title: Of Toasts and Tails).
  2. ★ (with R. Greenfeld, V. Rozhoň, T. Tao) Measurable tilings by abelian group actions, accepted to IMRN (2023), [arXiv].
  3. (with C. T. Conley and Oleg Pikhurko) Divisibility of spheres with measurable pieces, accepted to L'Enseignement Mathematique (2022), [arXiv].
2023
  1. (with Z. Vidnyánszky) Tall \(F_\sigma\) subideals of tall analytic ideals, Proc. Amer. Math. Soc. 151 (2023), [arXiv, Journal].
2022
  1. (with I. Rocha) Fractional Isomorphism of Graphons, Combinatorica 42 (2022), [arXiv, Journal, EuroComb 2019].
  2. (with S. Brandt, Y. Chang, C. Grunau, V. Rozhoň, Z. Vidnyánszky) Local Problems on Trees from the Perspectives of Distributed Algorithms, Finitary Factors, and Descriptive Combinatorics, 13th Innovations in Theoretical Computer Science Conference (2022), [arXiv, Journal], (Preprints 24. and 25. extend some of the results).
  3. Approximate Schreier decorations and approximate König’s line coloring Theorem, Annales Henri Lebesgue 5 (2022), [arXiv, Journal].
  4. (with M. Doležal, J. Hladký, I. Rocha, V. Rozhoň) Cut distance identifying graphon parameters over weak* limits, J. Combin. Theory Ser. A 189 (2022), [arXiv, Journal].
2021
  1. (with S. Geschke and B. D. Miller) Scrambled Cantor sets, Proc. Amer. Math. Soc. 149 (2021), [arXiv, Journal].
  2. (with M. Doležal, J. Hladký, I. Rocha, V. Rozhoň) Relating the cut distance and the weak* topology for graphons, J. Combin. Theory Ser. B 147 (2021), [arXiv, Journal].
2020
  1. σ-lacunary actions of Polish groups, Proc. Amer. Math. Soc. 148 (2020), [arXiv, Journal].
  2. ★ (with O. Pikhurko) Measurable versions of Vizing's theorem, Adv. Math. 374 (2020), [arXiv, Journal].
  3. (with M. Hrušák) No minimal tall Borel ideal in the Katětov order, Fund. Math. 248 (2020), [arXiv, Journal].
2019
  1. (with C. Uzcategui) Bases and selectors for tall families, J. Symb. Log. 84 (2019), [arXiv, Journal].

Research before starting PhD

  1. (with D. Chodounsky, V. Fischer) Free sequences in \(\mathcal{P}(\omega)/\operatorname{fin}\), Arch. Math. Logic 58 (2019), [arXiv, Journal].
  2. (with S. Gabriyelyan, J. Kakol, L. Zdomskyy) Topological properties of function spaces over ordinals, Rev. R. Acad. Cienc. Exactas Fı́s. Nat. Ser. A Math. 111 (2017), [arXiv, Journal].
  3. (with S. Gabriyelyan, J. Kakol, L. Zdomskyy) The Ascoli property for function spaces, Topology Appl. 214 (2016), [arXiv, Journal].
  4. An example of a Fraı̈ssé class without a Katětov functor, Appl. Categ. Structures 26 (2018), [arXiv, Journal], (Results from my Master thesis supervised by W. Kubis).
  5. A rigid Urysohn-like metric space, Proc. Amer. Math. Soc. 145 (2017), [arXiv, Journal], (Results from my Master thesis supervised by W. Kubis).
  6. Ultrafilter extensions of asymptotic density, Comment. Math. Univ. Carolin. 60 (2019), [pdf, Journal], (Results from my Bachelor thesis supervised by B. Balcar).

Other writings