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 StudentReal forms, Automorphisms 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
2020-Erik PaemurruPost-docBirational geometry, singularity theory, computer algebra
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
2016-20 Julia SchneiderPost-doc
(University of Toulouse)
A birational journey: From plane curve singularities to the Cremona group over perfect fields

Generators of the plane Cremona group over the field with two elements

Relations in the Cremona group over perfect fields

Plane curves of fixed bidegree and their Ak-singularities.
North-West. Eur. J. Math. 6 (2020), 45-89.
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. 770 (2021), 27-57.

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 Nice)
Cremona groups. Foliatons.
2010Hamid AhmadinezhadLecturer
(University of Loughborough)
Birational geometry.