Todor Tsankov

Bureau : Braconnier 102

Institut Camille Jordan
Université Claude Bernard – Lyon 1
43, boulevard du 11 novembre 1918
69622 Villeurbanne cedex
France

tsankov @XXNOQKTJUE@ math point univ-lyon1 point fr

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• Séminaire de logique, ICJ.
• Projet ANR AGRUME.

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Enseignement

Année 2023–2024

• Théorie des groupes (L3)
• Théorie des ensembles et théorie des modèles (M1)
• Moyennabilité et équivalence orbitale (M2)

Papers

• Continuity of the stabilizer map and irreducible extensions (with A. Le Boudec).
  Comment. Math. Helv., to appear.

• Topological dynamics of kaleidoscopic groups (with G. Basso).
  Adv. Math. 416 (2023), Paper No. 108915, 49 pp.

• Continuous logic and Borel equivalence relations (with A. Hallbäck and M. Malicki).
  J. Symbolic Logic 88 (2023), no. 4, 1725–1752.

• Invariant measures on products and on the space of linear orders (with C. Jahel).
  J. Éc. polytech. Math. 9 (2022), 155–176.

• Universal minimal flows of homeomorphism groups of high-dimensional manifolds are not metrizable (with Y. Gutman and A. Zucker).
  Math. Ann. 379 (2021), 1605–1622.

• Bernoulli disjointness (with E. Glasner, B. Weiss, and A. Zucker).
  Duke Math. J. 170 (2021), no. 4, 615–651.

• A model-theoretic approach to rigidity of strongly ergodic, distal actions (with T. Ibarlucía).
  Ann. Sci. Éc. Norm. Supér. (4) 54 (2021), 751–780.

• Realizing uniformly recurrent subgroups (with N. Matte Bon).
  Ergodic Theory Dynam. Systems 40 (2020), 478–489.

• Metric Scott analysis (with I. Ben Yaacov, M. Doucha, and A. Nies).
  Adv. Math. 318 (2017), 46–87.

• Eberlein oligomorphic groups (with I. Ben Yaacov and T. Ibarlucía).
  Trans. Amer. Math. Soc. 370 (2018), no. 3, 2181–2209.

• Metrizable universal minimal flows of Polish groups have a comeagre orbit (with I. Ben Yaacov and J. Melleray).
  Geom. Funct. Anal. 27 (2017), no. 1, 67–77.

• On the complexity of topological conjugacy of Toeplitz subshifts (with M. Sabok).
  Israel J. Math. 220 (2017), 583–603.

• Polish groups with metrizable universal minimal flows (with J. Melleray and L. Nguyen Van Thé).
  Int. Math. Res. Not. IMRN (2016), no. 5, pp. 1285–1307.

• Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups (with I. Ben Yaacov).
  Trans. Amer. Math. Soc. 368 (2016), no. 11, pp. 8267–8294.

• Free actions of free groups on countable structures and property (T) (with D. Evans).
  Fund. Math. 232 (2016), pp. 49–63.

• Decidability of definability (with M. Bodirsky and M. Pinsker).
  J. Symbolic Logic 78 (2013), no. 4, pp. 1036–1054.
  (A preliminary version of this article appeared in the Proceedings of LICS 2011, Toronto.)

• Automatic continuity for the unitary group.
  Proc. Amer. Math. Soc. 141 (2013), no. 10, pp. 3673–3680.

• Generic representations of abelian groups and extreme amenability (with J. Melleray).
  Israel J. Math. 198 (2013), no. 1, 129–167.

• Unitary representations of oligomorphic groups.
  Geom. Funct. Anal. 22 (2012), no. 2, pp. 528–555.

• The additive group of the rationals is not automatic.
  J. Symbolic Logic 76 (2011), no. 4, pp. 1341–1351.

• Subequivalence relations and positive-definite functions (with A. Ioana and A. S. Kechris).
  Groups Geom. Dyn. 3 (2009), no. 4, pp. 579–625.

• Topological properties of full groups (with J. Kittrell).
  Ergodic Theory Dynam. Systems 30 (2010), no. 2, pp. 525–545.

• Modular actions and amenable representations (with I. Epstein).
  Trans. Amer. Math. Soc. 362 (2010), no. 2, pp. 603–621.

• Amenable actions and almost invariant sets (with A. S. Kechris).
  Proc. Amer. Math. Soc. 136 (2008), no. 2, pp. 687–697.

• Compactifications of $\mathbf{N}$ and Polishable subgroups of $S_\infty$.
  Fund. Math. 189 (2006), no. 3, 269–284.

Habilitation

• Automorphism groups and their actions.
  Mémoire d’habilitation à diriger des recherches, 2014.

Unpublished notes

• Metric Fraïssé limits via joinings. , 2018.