Members of the group (by alphabetical order)

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

2020-Ahmed Ashem AbouelsaadPhD Studentperiodic rational points of endomorphisms of the line
2010-Jérémy BlancAssociate professorCremona groups, birational geometry, affine algebraic geometry, real algebraic geometry
2020-Anna BotPhD StudentAutomorphisms of rational surfaces
2020-Mani Esna-AshariPhD StudentFinite subgroups of the Cremona groups
2018-Pascal FongPhD StudentAutomorphisms of projective bundles over curves and surfaces
2018-Philipp MeklerPhD StudentAlgebraic statistics
2016-Julia SchneiderPhD StudentSingularities of plane curves, birational geometry over perfect fields
2018-Sokratis SikasPhD StudentBirational geometry, Sarkisov links
2017-Immanuel van SantenPost-docAffine geometry, algebra, birational geometry
2018-Egor YasinskyPost-docBirational geometry, real geometry, groups, symplectic manifolds

Former PhD students (by chronological order)

YearsNameCurrent positionTitle of PhD and articles written during it
2014-18 Mattias Hemmig Isomorphisms between complements of plane curves

Isomorphisms between complements of projective plane curves
Épijournal 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 Christian UrechInstructor
Subgroups of Cremona groups

Simple groups of birational transformations in dimension two
Comment. Math. Helv. 95 (2020), no. 2, 211-246.

Subgroups of elliptic elements of the Cremona group
J. 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

2013-16Susanna ZimmermannMaîtresse de conférences
(University of Angers)
Compositions and relations in the Cremona groups

The 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.
2010-14Maria Fernanda RobayoBirational diffeomorphisms of the sphere of finite order

Prime 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)

YearsNameCurrent positionSubject
2017-20Anne LonjouMaîtresse de conférences
(University of Paris-Sarclay)
Cremona groups, geometric group theory, Voronoi cells.
2016-17Enrica FlorisMaîtresse de conférences
(University of Poitiers)
Birational geometry, foliations.
2015-16Andrea FanelliMaître de conférences
(University of Bordeaux)
Birational geometry.
2015-16Jean-Philippe FurterMaître de conférences
(University of La Rochelle)
Affine algebraic geometry.
2013-15Isac HedénPost-doc
(KTH - Stockholm)
Affine algebraic geometry. Birational geometry.
2011-13Julie DésertiMaîtresse de conférences
(University of Paris 7)
Cremona groups. Foliatons.
2010Hamid AhmadinezhadLecturer
(University of Loughborough)
Birational geometry.