Tomás Ibarlucía

I am currently an Associate Professor at the Institut de Mathématiques de Jussieu–Paris Rive Gauche, Université Paris Cité.
My research interests are model theory, topological dynamics and ergodic theory. I am a member of the ANR Project AGRUME.

Publications and preprints

- Existentially closed measure-preserving actions of free groups (with A. Berenstein and W. Henson)
Fund. Math., to appear. [arXiv]

- Approximate isomorphism of randomization pairs (with J. Hanson)
Confluentes Math., tome 14, no. 2 (2022), pp. 29–44. [DOI] [arXiv]

- Maximal equivariant compactification of the Urysohn spaces and other metric structures (with M. Megrelishvili)
Adv. Math., vol. 380 (2021), ID 107599, 34 pp. [DOI] [arXiv]

- Infinite-dimensional Polish groups and Property (T)
Invent. Math., vol. 223 (2021), pp. 725–757. [DOI] [PDF]

- A model-theoretic approach to rigidity of strongly ergodic, distal actions (with T. Tsankov)
Ann. Sci. École Norm. Sup., vol. 54 (2021), no. 3, pp. 751–780. [arXiv]

- Eberlein oligomorphic groups (with I. Ben Yaacov and T. Tsankov)
Trans. Amer. Mat. Soc., vol. 370 (2018), pp. 2181-2209. [DOI] [arXiv]

- Automorphism groups of randomized structures
J. Symbolic Logic, vol. 82 (2017), no. 3, pp. 1150-1179. [PDF] [HAL]

- Dynamical simplices and minimal homeomorphisms (with J. Melleray)
Proc. Amer. Mat. Soc., vol. 145 (2017), pp. 4981-4994. [DOI] [HAL]

- The dynamical hierarchy for Roelcke precompact Polish groups
Israel J. of Math., vol. 215 (2016), no. 2, pp 965-1009. [PDF] [HAL]

- Full groups of minimal homeomorphisms and Baire category methods (with J. Melleray)
Ergod. Th. & Dynam. Sys., vol. 36 (2016), no. 02, pp. 550-573. [DOI] [PDF]

Slides of selected talks

- Approximate isomorphism of randomizations with a distinguished small substructure
Carnegie Mellon, March 2022. [PDF]

- «Stably free» actions of the free group
Münster, June 2021. [PDF]

- Coalescence of strongly ergodic distal systems
Orsay, November 2017. [PDF]

- Eberlein oligomorphic groups
Marseille, July 2015. [PDF]

- Introduction to model theory (tutorial)
Marseille, June 2015. [PDF]

- Separably categorical structures and Banach representations
Paris, December 2014. [PDF]