Research

Minimal flows with arbitrary centralizer Submitted.
A note on minimal models for pmp actions
Proc. Amer. Math. Soc., to appear.
Topological dynamics of Polish group extensions (with Colin Jahel), Submitted.
Bernoulli disjointness (with Eli Glasner, Todor Tsankov, and Benjamin Weiss), Submitted.
Maximally highly proximal flows Submitted.
—previously titled “Polish group actions with meager orbits.”
Fraïssé structures and a conjecture of Furstenberg (with Dana Bartošová)
—Comment. Math. Univ. Carolin., 60(1) p. 1-24, (2019).
—previously titled “Samuel compactifications of subgroups of S.”

A direct solution to the generic point problem
Proc. Amer. Math. Soc., 146(5) p. 2143-2148, (2018).
Big Ramsey degrees and topological dynamics
Groups, Geom., Dyn., 13(1) p. 235-276, (2019).
Thick, syndetic, and piecewise syndetic subsets of Fraïssé structures
Topol. Appl., 223 p. 1-12, (2017).
Topological dynamics of automorphism groups, ultrafilter combinatorics, and the generic point problem
Trans. Amer. Math. Soc., 368(9) p. 6715-6740,(2016).
—previously titled “Topological dynamics of closed subgroups of S.”

Amenability and unique ergodicity of automorphism groups of Fraïssé structures
Fund. Math., 841 p. 41-62, (2014).