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
2023-Fabio BernasconiAmbizione Post-DocCremona groups, birational geometry, affine algebraic geometry, real algebraic geometry
2010-Jérémy BlancFull 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-Philipp MeklerPhD StudentAlgebraic statistics
2020-Irène MeunierPhD StudentPolynomial automorphisms and valuations
2023-Anne SchnattingerPhD Studentbirational geometry in high dimenion
2017-Immanuel van SantenPost-docAffine geometry, algebra, birational geometry
2023-Henrik WehrheimPhD Studentbirational geometry in high dimenion

Former PhD students (by chronological order)

YearsNameCurrent positionTitle of PhD and articles written during it
2018-22 Pascal FongPost-doc
Algebraic subgroups of groups of birational transformations

Connected algebraic subgroups not lying in a maximal one (with S. Zikas)
C. R. Math. Acad. Sci. Paris 361 (2023), 313-322.

Algebraic subgroups of the group of birational transformations of ruled surfaces
Épijournal Geom. Algébrique 7 (2023), Art. 13, 22 pp

Connected algebraic groups acting on algebraic surfaces.
Ann. Inst. Fourier (to appear)
2018-22 Sokratis ZikasPost-doc
Birational Transformations of Threefolds

Connected algebraic subgroups not lying in a maximal one (with P. Fong)
C. R. Math. Acad. Sci. Paris 361 (2023), 313-322.

Rigid birational involutions of ℙ3 and cubic threefolds
J. Éc. polytech. Math. 10 (2023), 233-252.

Sarkisov Links with centres space curves on smooth cubic surfaces.
Publ. Mat. 67 (2023), no. 2, 481-513.
2016-20 Julia SchneiderPost-doc
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
Ann. Inst. Fourier (Grenoble) 72 (2022), no. 1, 1-42.

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. Inst. Fourier 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 ZimmermannProfessor
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
2021Pierre-Marie PoloniHigh school teacherAffine algebraic geometry
2020-2021Erik PaemurruPost-doc
(ICMS, Sofia)
Birational geometry, singularity theory, computer algebra
2018-2021Egor YasinskyHadamard Post-doc
(Polytechnique, Paris)
Birational geometry, real geometry, groups, symplectic manifolds
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 Bordeaux)
Affine algebraic geometry.
2013-15Isac HedénSenior lecturer
(Uppsala University)
Affine algebraic geometry. Birational geometry.
2011-13Julie DésertiProfessor
(University of Orléans)
Cremona groups. Foliatons.
2010Hamid AbbanAssociate Professor
(University of Nottingham)
Birational geometry.