Papers since 2018

κ-Borel sets, κ-Baire spaces, and filtrations between topologies [pdf]

Groups without unitary representations, submeasures, and the escape property, Math. Ann., accepted; joint with F. M. Schneider [pdf]

Finite Ramsey Theory through Category Theory, Enseign. Math., accepted [pdf]

Polish modules over subrings of Q, Israel J. Math., accepted; joint with D. Hu [pdf]

Dual Ramsey theorem for trees, Combinatorica, 43 (2023), 91--128 [pdf]

Generic measure preserving transformations and the closed groups they generate, Invent. Math., 231 (2023), 805--850 [pdf]

The spectral form of Koopman representations of the group of measurable functions with values in the circle, Colloq. Math., 171 (2023), 303--320; joint with J. T. Moore [pdf]

A combinatorial model for the Menger curve, J. Topology and Analysis, 14 (2022), 203--229; joint with A. Panagiotopoulos [pdf]

Random continuum and Brownian motion, Bull. London Math. Soc., 53 (2021), 1376--1389; joint with V. Kiss [pdf]

Tukey order among F_σ ideals, J. Symbolic Logic, 86 (2021), 855--870; joint with J. He, M. Hrušák, D. Rojas-Rebolledo [pdf]

Concentration of measure, classification of submeasures, and dynamics of L₀, J. Funct. Analysis, 280 (2021), 108890, 51 pages; joint with F. M. Schneider [pdf]

Transfinite sequences of topologies, descriptive complexity, and approximating equivalence relations, Israel J. Math., 242 (2021), 933--953 [pdf]

Coherent extension of partial automorphisms, free amalgamation, and automorphism groups, J. Symbolic Logic, 85 (2020), 199--223; joint with D. Siniora [pdf]

Monoid actions and ultrafilter methods in Ramsey theory, Forum Math., Sigma, 7 (2019), e2, 40 pages [pdf]

The generic combinatorial simplex; joint with A. Panagiotopoulos [pdf]