# Tomás Ibarlucía

## Maître de conférences

IMJ–PRG, Université Paris Cité

Institut de Mathématiques de Jussieu–Paris Rive Gauche

Université Paris Cité

Campus Grands Moulins - bât. Sophie Germain - Case 7012

75205 Paris Cedex 13, France

Bureau : Sophie Germain 625.

ibarlucia [at] math.univ-paris-diderot.fr

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 **

- *Extremal models and direct integrals in affine logic*
(with I. Ben Yaacov and T. Tsankov)

Preprint.
[PDF]

- *Existentially closed measure-preserving actions of free groups*
(with A. Berenstein and W. Henson)

**Fund. Math.**, vol. 264 (2024), no.3, 241–282.
[PDF]
[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]