Research

Math Publications and Preprints (in roughly reverse chronological order)

26) Oscillating subalgebras of the atomless countable Boolean algebra (with Dana Bartošová, David Chodounský, Barbara Csima, Jan Hubička, Matěj Konečný, Joey Lakerdas-Gayle, and Spencer Unger), preprint.
25) Topological groups with tractable minimal dynamics (with Gianluca Basso), submitted.
24) A survey on big Ramsey structures (with Jan Hubička), in: Selected Topics in Combinatorial Analysis Part II, Zbornik Radova, Matematički institut SANU, Beograd, 22(30), (2025).
23) Ultracoproducts and weak containment for flows of topological groups preprint.
22) Ramsey theorem for trees with successor operation (with Martin Balko, David Chodounský, Natasha Dobrinen, Jan Hubička, Matěj Konečný, and Jaroslav Nešetřil), preprint.
21) Characterisation of the big Ramsey degrees of the generic partial order (with Martin Balko, David Chodounský, Natasha Dobrinen, Jan Hubička, Matěj Konečný, and Lluis Vena), Trans. Amer. Math. Soc., to appear.
20) Infinite-dimensional Ramsey theory for binary free amalgamation classes (with Natasha Dobrinen), submitted.
19) Polish space partition principles and the Halpern-Läuchli theorem (with Chris Lambie-Hanson), J. Symb. Log., 89(4) (2024), 1798-1816.
18) From Ramsey degrees to Ramsey expansions via weak amalgamation (with Dragan Mašulović), Theory and Applications of Categories, 41 (2024), 1513-1535.
17) Minimal subdynamics and minimal flows without characteristic measures (with Josh Frisch and Brandon Seward), Forum of Math. Sigma, 12 (2024), e58.
16) Exact big Ramsey degrees for finitely constrained binary free amalgamation classes (with Martin Balko, David Chodounský, Natasha Dobrinen, Jan Hubička, Matěj Konečný, and Lluis Vena), J. Eur. Math. Soc., 28(5) (2026), 2101-2150.
15) Topological dynamics beyond Polish groups (with Gianluca Basso) Comment. Math. Helv., 96(3) (2021), 589-630.
14) Minimal model-universal flows for locally compact Polish groups (with Colin Jahel) Israel J. Math., 244 (2021), 743-758.
13) On big Ramsey degrees for binary free amalgamation classes (formerly titled “A note on big Ramsey degrees”) Adv. Math., 408(A) (2022), 108585.
12) Universal minimal flows of homeomorphism groups of high-dimensional manifolds are not metrizable (with Yonatan Gutman and Todor Tsankov), Math. Ann., 379 (2021), 1605-1622.
11) Minimal flows with arbitrary centralizer Ergodic Theory Dyn. Syst., 42(1) (2022), 310-320.
10) A note on minimal models for pmp actions Proc. Amer. Math. Soc., 148 (2020), 1161-1168.
9) Topological dynamics of Polish group extensions (with Colin Jahel), European Journal of Combinatorics, to appear.
8) Bernoulli disjointness (with Eli Glasner, Todor Tsankov, and Benjamin Weiss) Duke Math. J., 170(4) (2021), 615-651.
7) Maximally highly proximal flows Ergodic Theory Dyn. Syst., 41(7) (2021), 2220-2240.
6) Fraïssé structures and a conjecture of Furstenberg (with Dana Bartošová)
Comment. Math. Univ. Carolin., 60(1) (2019), 1-24.
5) A direct solution to the generic point problem Proc. Amer. Math. Soc., 146(5) (2018), 2143-2148.
4) Big Ramsey degrees and topological dynamics Groups, Geom., Dyn., 13(1) (2019), 235-276.
3) Thick, syndetic, and piecewise syndetic subsets of Fraïssé structures Topol. Appl., 223 (2017), 1-12.
2) Topological dynamics of automorphism groups, ultrafilter combinatorics, and the generic point problem Trans. Amer. Math. Soc., 368(9) (2016), 6715-6740.
1) Amenability and unique ergodicity of automorphism groups of Fraïssé structures Fund. Math., 841 (2014), 41-62.

Other writings

A new proof of the 2-dimensional Halpern-Läuchli theorem (superceded by publication 19 above), 2017.
Vindicating Methodological Triangulation (with Liam Kofi Bright and Remco Heesen), Synthese, 196 p. 3067-3081, (2019).