All publications (in reversed chronological order)

Preprints

36. (with M. D'Achille, A. Khezeli, K. Recke, A. Wilkens) Vanishing uniqueness thresholds in Voronoi percolation on products, preprint (2025), [arXiv].
37. (with K. Recke) Poisson-Voronoi percolation in higher rank, submitted (2025), [arXiv].
38. (with Z. Vidnyánszky) Complexity of Linear Equations and Infinite Gadgets, preprint (2025), [arXiv].
39. (with S. Brandt, Y. Chang, C. Grunau, V. Rozhoň, Z. Vidnyánszky) Deterministic Distributed algorithms and Descriptive Combinatorics on Δ-regular trees, submitted, (2022), [arXiv].
40. (with V. Rozhoň) Classification of Local Problems on Paths from the Perspective of Descriptive Combinatorics, submitted, (2021), [arXiv, EuroComb 2021].
41. Borel equivalence relations induced by actions of tsi Polish groups, submitted, (2021), [arXiv].

Publications (published, to appear, accepted)

30. (with C. Ikenmeyer, O. Pikhurko) Fractional Divisibility of Spheres with Partially Generic Sets of Rotations, accepted to Fund. Math. (2026), [arXiv].
31. (with Z. Vidnyánszky) Ramsey, expanders, and Borel chromatic numbers, accepted to Journal of Mathematical Logic (2024), [arXiv].

28. (with O. Pikhurko) Large deviation principles for graphon sampling, Electron. J. Probab. 31 (2026), [arXiv, Journal].
29. (with D. Král', X. Liu, O. Pikhurko, J. Slipantschuk) Convergence of spectra of digraph limits, Eur. J. Comb. 134 (2026), [arXiv, Journal].
30. (with C. Higgins) Complexity of Finite Borel Asymptotic Dimension, Forum Math. Sigma 14 (2026), [arXiv, Journal].
31. (with J. de Dios Pont, R. Greenfeld, J. Madrid) Periodicity and decidability of translational tilings by rational polygonal sets, Expositiones Mathematicae (Bent Fuglede memorial volume) 44 (2026), [arXiv, Journal].

24. Survey: (with Z. Vidnyánszky) From descriptive to distributed, Zbornik Radova 22 (2025), [arXiv, Journal].
25. Measurable Vizing's theorem, Forum Math. Sigma 13 (2025) e32, [arXiv, Journal].

22. (with C. T. Conley and Oleg Pikhurko) Local version of Vizing's theorem for multi-graphs, Journal of Graph Theory 107 (2024), [arXiv, Journal].
23. (with S. Brandt, Y. Chang, C. Grunau, V. Rozhoň, Z. Vidnyánszky) On Homomorphism Graphs, Forum Math. Pi 12 (2024), e10, [arXiv, Journal].
24. (with C. T. Conley and Oleg Pikhurko) Divisibility of spheres with measurable pieces, L'Enseignement Mathematique 70 (2024), [arXiv, Journal].

19. (with V. Rozhoň) Local Problems on Grids from the Perspective of Distributed Algorithms, Finitary Factors, and Descriptive Combinatorics, Adv. Math. 431 (2023), [arXiv, Journal].
20. (with R. Greenfeld, V. Rozhoň, T. Tao) Measurable tilings by abelian group actions, Int. Math. Res. Not 23 (2023), [arXiv, Journal].
21. (with Z. Vidnyánszky) Tall \(F_\sigma\) subideals of tall analytic ideals, Proc. Amer. Math. Soc. 151 (2023), [arXiv, Journal].

16. (with I. Rocha) Fractional Isomorphism of Graphons, Combinatorica 42 (2022), [arXiv, Journal, EuroComb 2019].
17. (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].
18. Approximate Schreier decorations and approximate König’s line coloring Theorem, Annales Henri Lebesgue 5 (2022), [arXiv, Journal].
19. (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].

12. (with S. Geschke and B. D. Miller) Scrambled Cantor sets, Proc. Amer. Math. Soc. 149 (2021), [arXiv, Journal].
13. (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].

10. σ-lacunary actions of Polish groups, Proc. Amer. Math. Soc. 148 (2020), [arXiv, Journal].
11. (with O. Pikhurko) Measurable versions of Vizing's theorem, Adv. Math. 374 (2020), [arXiv, Journal].
12. (with M. Hrušák) No minimal tall Borel ideal in the Katětov order, Fund. Math. 248 (2020), [arXiv, Journal].

7. (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

• (with F. Kučerák, A. Thorat) Tileability of sufficiently large boxes by a given set of boxes, Appendix to the paper by Chandgotia and Thorat: Finitely Dependent Processes on Subshifts, (2026) [arXiv].
• CSPs and Borel combinatorics, Homogeneous Structures: Model Theory meets Universal Algebra (L. Barto, M. Bodirsky, A. Kwiatkowska, M. Pinsker), Oberwolfach Reports 22 (4), 3080–3083, (2026), [Journal].
• (with O. Pikhurko, A. Tserunyan) Mini-Workshop: Descriptive Combinatorics, LOCAL Algorithms and Random Processes, Oberwolfach Reports 19 (1), 429-455, (2023), [Journal], (I also wrote the section about open problems there ).
• Borel selector for hypergraphons. [arXiv]