## Members of the group (by alphabetical order)

Links to the webpages of the members are given by clicking on the names.

Years | Name | Position | Subjects |
---|---|---|---|

2020- | PhD Student | periodic rational points of endomorphisms of the line | |

2010- | Associate professor | Cremona groups, birational geometry, affine algebraic geometry, real algebraic geometry | |

2020- | PhD Student | Automorphisms of rational surfaces | |

2020- | PhD Student | Finite subgroups of the Cremona groups | |

2018- | PhD Student | Automorphisms of projective bundles over curves and surfaces | |

2018- | PhD Student | Algebraic statistics | |

2016- | PhD Student | Singularities of plane curves, birational geometry over perfect fields | |

2018- | PhD Student | Birational geometry, Sarkisov links | |

2017- | Post-doc | Affine geometry, algebra, birational geometry | |

2018- | Post-doc | Birational geometry, real geometry, groups, symplectic manifolds |

### Former PhD students (by chronological order)

Years | Name | Current position | Title of PhD and articles written during it |
---|---|---|---|

2014-18 |
Isomorphisms between complements of plane curvesIsomorphisms between complements of projective plane curvesÉpijournal Geom. Algébrique 3 (2019), Art. 15, 44 pp.Exceptional isomorphisms between complements of affine plane curves. (with J. Blanc and J.-P. Furter)Duke Math. J. 168 (2019), no. 12, 2235-2297. | ||

2013-17 | Instructor(EPFL) |
Subgroups of Cremona groupsSimple groups of birational transformations in dimension twoComment. Math. Helv. 95 (2020), no. 2, 211-246. Subgroups of elliptic elements of the Cremona groupJ. Reine Angew. Math. (to appear) On homomorphisms between Cremona groups.Ann. Institut Fourier (Grenoble) 68 (2018), no. 1, 53-100.Remarks on the degree growth of birational transformations.Math. Res. Lett. 25 (2018), no. 1, 291-308 | |

2013-16 | Maîtresse de conférences(University of Angers) | Compositions and relations in the Cremona groupsThe abelianisation of the real Cremona group. Duke Math. J. 167 (2018), no. 2, 211-267 Topologies of the Cremona groups (with J. Blanc).Amer. J. Math. 140 (2018), no. 5, 1297-1309. Infinite algebraic subgroups of the real Cremona group (with M. Robayo).Osaka J. of Math. 55 (2018), no. 4, 681-712. The decomposition group of a line (with I. Héden).Proc. Amer. Math. Soc. 145 (2017), no. 9, 3665-3680. The Cremona group is compactly presented.J. London Math. Soc. 93, no. 1 (2016), 25-46. | |

2010-14 | Birational diffeomorphisms of the sphere of finite orderPrime order birational diffeomorphisms of the sphere.Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 16 (2016), no. 3, 909-970. |

### Former other members of the group (by chronological order)

Years | Name | Current position | Subject |
---|---|---|---|

2017-20 | Maîtresse de conférences(University of Paris-Sarclay) | Cremona groups, geometric group theory, Voronoi cells. | |

2016-17 | Maîtresse de conférences(University of Poitiers) | Birational geometry, foliations. | |

2015-16 | Maître de conférences(University of Bordeaux) | Birational geometry. | |

2015-16 | Maître de conférences(University of La Rochelle) | Affine algebraic geometry. | |

2013-15 | Post-doc(KTH - Stockholm) | Affine algebraic geometry. Birational geometry. | |

2011-13 | Maîtresse de conférences(University of Paris 7) | Cremona groups. Foliatons. | |

2010 | Lecturer(University of Loughborough) | Birational geometry. |