## 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 |
---|---|---|---|

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

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

2018- | PhD Student | projective bundles over curves | |

2017- | Post-doc | Cremona groups, geometric group theory, Voronoi cells | |

2018- | PhD Student | Algebraic statistics | |

2019- | Post-doc | Affine algebraic geometry | |

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

2018- | PhD Student | Birational geometry | |

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

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

### 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 twoCommentarii Mathematici Helvetici (to appear) 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 |
---|---|---|---|

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

2015-16 | Post-doc(University of Düsseldorf) | Birational geometry. | |

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

2013-15 | Post-doc(University of Warwick) | Affine algebraic geometry. Birational geometry. | |

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

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