Publications and preprints

Preprints

● Invariant strictly convex renormings
arXiv preprint: arXiv:2508.16182 [math.FA], 2025. [arXiv]

● Dense and comeager conjugacy classes in zero-dimensional dynamics (with J. Melleray, T. Tsankov)
arXiv preprint: arXiv:2507.05474 [math.DS], 2025. [arXiv]

● Automorphism groups of measures on the Cantor space. Part I: Good measures and Rokhlin properties (with D. Kwietniak, M. Malicki, P. Niemiec)
arXiv preprint: arXiv:2501.17098 [math.LO], 2025. [arXiv]

● Guarded Fraïssé Banach spaces (with M. Cúth, N. de Rancourt)
arXiv preprint: arXiv:2408.12755 [math.FA], 2024. [arXiv]

● Shadowing of actions of hyperbolic groups on their boundaries
arXiv preprint: arXiv:2405.04905 [math.GR], 2024. [arXiv]



Published and accepted papers

● Lie theoretic approach to unitary groups of C*-algebras (with H. Ando)
Transactions of the American Mathematical Society 378, No. 3, 2007-2030 (2025). [arXiv]

● Isometries of Lipschitz-free Banach spaces (with M. Cúth, T. Titkos)
Journal of the London Mathematical Society, II. Ser. 110, No. 5, 36 p. (2024). [arXiv]

● Strong topological Rokhlin property, shadowing, and symbolic dynamics of countable groups
to appear in Journal of the European Mathematical Society, DOI: 10.4171/JEMS/1584 [arXiv]

● An application of Kirchberg's lemma on central sequence algebras to groups of approximately inner automorphisms (with H. Ando)
to appear in Münster Journal of Mathematics. [arXiv]

● Polish spaces of Banach spaces. Complexity of isometry and isomorphism classes (with M. Cúth, M. Doležal, O. Kurka)
Journal of the Institute of Mathematics of Jussieu, 23(4), 1919–1957 (2024). [arXiv]

● Projections in Lipschitz-free spaces induced by group actions (with M. Cúth)
Mathematische Nachrichten 296, No. 8, 3301-3317 (2023). [arXiv]

● Garden of Eden and weakly periodic points for certain expansive actions of groups
Ergodic Theory and Dynamical Systems 43, No. 7, 2354-2375 (2023). [arXiv]

● Polish spaces of Banach spaces (with M. Cúth, M. Doležal, O. Kurka)
Forum of Mathematics, Sigma 10, No. e26, 28 p. (2022) [arXiv]

● Complexity of distances: Theory of generalized analytic equivalence relations (with M. Cúth, O. Kurka)
Journal of Mathematical Logic 23, No. 1,45 p. (2023). [arXiv]

● Large scale geometry of Banach-Lie groups (with H. Ando, Y. Matsuzawa)
Transactions of the American Mathematical Society 375 (2022), no. 4, 2827-288. [arXiv]

● Approximation properties in Lipschitz-free spaces over groups (with P. Kaufmann)
Journal of the London Mathematical Society (2) 105 (2022), no. 1, 1–21. [arXiv]

● Lipschitz algebras and Lipschitz-free spaces over unbounded metric spaces (with F. Albiac, J. L. Ansorena, M. Cúth)
International Mathematics Research Notices 2022, No. 20, 16327-16362 (2022). [arXiv]

● On Dual surjunctivity and applications (with J. Gismatullin)
Groups, Geometry, and Dynamics 16 (2022), no. 3, 943–961. [arXiv]

● Structure of the Lipschitz free p-spaces F_p(Z^d) and F_p(R^d) for 0<p≤1 (with F. Albiac, J. L. Ansorena, M. Cúth)
Collectanea Mathematica 73, No. 3, 337-357 (2022). [arXiv]

● Lipschitz free spaces isomorphic to their infinite sums and geometric applications (with F. Albiac, J. L. Ansorena, M. Cúth)
Transactions of the American Mathematical Society 374 (2021), no. 10, 7281–7312. [arXiv]

● Complexity of distances: Reductions of distances between metric and Banach spaces (with M. Cúth, O. Kurka)
Israel Journal of Mathematics, 248, No. 1, 383-439 (2022). [arXiv]

● Embeddability of l_p and bases in Lipschitz free p-spaces for 0 < p ≤ 1 (with F. Albiac, J. L. Ansorena, M. Cúth)
Journal of Functional Analysis, 278 (2020), pp. 108354, 33. [arXiv]

● Lipschitz free p -spaces for 0 < p < 1 (with F. Albiac, J. L. Ansorena, M. Cúth)
Israel Journal of Mathematics, 240 (2020), pp. 65–98. [arXiv]

● Generic representations of countable groups (with M. Malicki)
Transactions of the American Mathematical Society 372 (2019), pp. 8249–8277. [arXiv]

● Property (T), finite dimensional representations, and generic representations (with M. Malicki, A. Valette)
Journal of Group Theory, 22 (2019), pp. 1–13. [arXiv]

● Isomorphisms between spaces of Lipschitz functions (with L. Candido, M. Cúth)
Journal of Functional Analysis, 277 (2019), pp. 2697–2727. [arXiv]

● Universal actions and representations of locally finite groups on metric spaces
Israel Journal of Mathematics, 231 (2019), pp. 343–377. [arXiv]

● Generic norms and metrics on countable abelian groups
Monatshefte für Mathematik, 189 (2019), pp. 51–74. [arXiv]

● Embeddings into monothetic groups
Journal of Group Theory, 21 (2018), pp. 579–581. [arXiv]

● Metric topological groups: their metric approximation and metric ultraproducts
Groups, Geometry, and Dynamics, 12 (2018), pp. 615–636. [arXiv]

● Metric Scott analysis (with I. Ben Yaacov, A. Nies, T. Tsankov)
Advances in Mathematics, 318 (2017), pp. 46–87. [arXiv]

● Metrical universality for groups
Forum Mathematicum, 29 (2017), pp. 847–872. [arXiv]

● Corrigendum: Metrical universality for groups, Forum Mathematicum, 32 (2020), pp. 1649–1654.

● Metrically universal abelian groups
Transactions of the American Mathematical Society 369 (2017), pp. 5981–5998. [arXiv]

● An example of a non-commutative uniform Banach group
Journal of Mathematical Analysis and Applications, 446 (2017), pp. 101–113. (warning: there is a potential gap in the proof, which I will try to correct in due time) [arXiv]

● Universal and homogeneous structures on the Urysohn and Gurarij spaces
Israel Journal of Mathematics 218 (2017), no. 1, 299–330. [arXiv]

● On the structure of Lipschitz-free spaces (with M. Cúth, P. Wojtaszczyk)
Proceedings of the American Mathematical Society, 144 (2016), pp. 3833–3846. [arXiv]

● Lipschitz-free spaces over ultrametric spaces (with M. Cúth)
Mediterranean Journal of Mathematics, 13 (2016), pp. 1893–1906. [arXiv]

● Non-universality of automorphism groups of uncountable ultrahomogeneous structures
Topology and Its Applications, 180 (2015), pp. 209–217. [arXiv]

● Non-abelian group structure on the Urysohn universal space
Fundamenta Mathematicae, 228 (2015), pp. 251–263. [arXiv]

● Base tree property (with B. Balcar, M. Hrušák)
Order, 32 (2015), pp. 69–81. [arXiv]

● Scott rank of Polish metric spaces
Annals of Pure and Applied Logic, 165 (2014), pp. 1919–1929. [arXiv]

● Erratum to: “Scott rank of Polish metric spaces” [Ann. Pure Appl. Logic 165 (12) (2014) 1919–1929] [MR3256743], Annals of Pure and Applied Logic, 168 (2017), p. 1490.

● Fσ equivalence relations and Laver forcing
Journal of Symbolic Logic, 79 (2014), pp. 644–653. [arXiv]

● Canonizing certain Borel equivalences for Silver forcing
Topology and Its Applications, 159 (2012), pp. 2973–2979.