Since October 2021, I am a Severo Ochoa postdoc at the Instituto de Ciencias Matemáticas (ICMAT) in Madrid. Before that, I was a postdoc at the ENS de Lyon, under the supervision of Adrien Le Boudec. I completed my PhD at the University of Geneva, under the direction of Tatiana Nagnibeda.

I work mainly in geometric group theory. I am very interested in growth in finitely generated groups, and particularly in groups of intermediate growth. I am also very interested in self-similar groups, groups generated by automata, branch groups and other groups with interesting actions on topological spaces. Particularly, I strive to establish connections between algebraic or geometric properties of these groups and properties of their actions.

Since Spring 2022, I am the co-organizer of the Group Theory Seminar of the ICMAT, along with Leo Margolis.

Instituto de Ciencias Matemáticas

Calle Nicolás Cabrera, n° 13-15

Campus Cantoblanco, UAM

28049 Madrid, Spain

Calle Nicolás Cabrera, n° 13-15

Campus Cantoblanco, UAM

28049 Madrid, Spain

✉ dominik*.*francoeurIgnoreThisPart@icmat*.*es

**On quasi-2-transitive actions of branch groups**(arXiv)**Subgroup induction property for branch groups**(arXiv)

*(with P.-H. Leemann)*

**Bireversible automata generating lamplighter groups**(arXiv)

*To appear in Bulletin of the London Mathematical Society.***Maximal subgroups of non-torsion Grigorchuk-Gupta-Sidki groups**(journal) (arXiv)

*(with A. Thillaisundaram) Canadian Mathematical Bulletin, 2022, vol. 65, no. 4, pp. 825--844.***Normal subgroups of finitely generated branch groups are finitely generated**(journal) (arXiv)*Appendix to CAPRACE, Pierre-Emmanuel et LE BOUDEC, Adrien. Commensurated subgroups and micro-supported actions.*

*Journal of the European Mathematical Society, 2022.***On the Orbits of Automaton Semigroups and Groups**(journal) (arXiv)

*(with D. D'Angeli, E. Rodaro and J.P. Wächter) Algebra and Discrete Mathematics, 2022, vol. 33, no. 1, pp. 1--29.***On the stabilisers of points in groups with micro-supported actions**(journal) (arXiv)

*Journal of Group Theory, 2021, vol. 24, no. 3, pp. 533-547.***On the existence of free subsemigroups in reversible automata semigroups**(journal) (arXiv)

*(with I. Mitrofanov) Groups, Geometry, Dynamics, 2021, vol. 15, no. 3, pp. 1103-1132.***Einstein tori and crooked surfaces**(journal) (arXiv)

*(with J.-P. Burelle, V. Charette and W. Goldman) Advances in Geometry, 2021, vol. 21, no. 2, pp. 237-250.***On maximal subgroups of infinite index in branch and weakly branch groups**(journal) (arXiv)*Journal of Algebra, 2020, vol. 560, p. 818-851.***Infinite automaton semigroups and groups have infinite orbits**(journal) (arXiv)*(with D. D'Angeli, E. Rodaro and J.P. Wächter) Journal of Algebra, 2020, vol. 553, pp. 119-137.***On the subexponential growth of groups acting on rooted trees**(journal) (arXiv)*Groups, Geometry and Dynamics, 2020, vol. 14, pp. 1-24.***Foliations between crooked planes in Minkowski 3-space**(journal) (arXiv)*(with J.-P. Burelle) Internat. J. Math., 2019, vol. 30, no. 1.***Maximal subgroups of groups of intermediate growth**(journal) (arXiv)*(with A. Garrido) Advances in Mathematics, 2018, vol. 340, pp. 1067-1107.***Fundamental domains in the Einstein Universe**(journal) (arXiv)*(with V. Charette and R. Lareau-Dussault) Topology and its Applications, 2014, vol. 174, pp. 62-80.*