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-	Ahmed Ashem Abouelsaad	PhD Student	periodic rational points of endomorphisms of the line
2010-	Jérémy Blanc	Full professor	Cremona groups, birational geometry, affine algebraic geometry, real algebraic geometry
2020-	Anna Bot	PhD Student	Real forms, Automorphisms of rational surfaces
2020-	Mani Esna-Ashari	PhD Student	Finite subgroups of the Cremona groups
2018-	Philipp Mekler	PhD Student	Algebraic statistics
2020-	Irène Meunier	PhD Student	Polynomial automorphisms and valuations
2017-	Immanuel van Santen	Post-doc	Affine geometry, algebra, birational geometry

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Former PhD students (by chronological order)

Years	Name	Current position	Title of PhD and articles written during it
2018-22	Pascal Fong	Post-doc (Paris-Saclay)	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 (to appear) Connected algebraic groups acting on algebraic surfaces. Ann. Inst. Fourier (to appear)
2018-22	Sokratis Zikas	Post-doc (Poitiers)	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. (to appear)
2016-20	Julia Schneider	Post-doc (EPFL)	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 preprint 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 Urech	Instructor (EPFL)	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
2013-16	Susanna Zimmermann	Professor (Paris-Saclay)	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.
2010-14	Maria Fernanda Robayo		Birational 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.

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Former other members of the group (by chronological order)

Years	Name	Current position	Subject
2021	Pierre-Marie Poloni	High school teacher	Affine algebraic geometry
2020-2021	Erik Paemurru	Post-doc (ICMS, Sofia)	Birational geometry, singularity theory, computer algebra
2018-2021	Egor Yasinsky	Hadamard Post-doc (Polytechnique, Paris)	Birational geometry, real geometry, groups, symplectic manifolds
2017-20	Anne Lonjou	Maîtresse de conférences (University of Paris-Sarclay)	Cremona groups, geometric group theory, Voronoi cells.
2016-17	Enrica Floris	Maîtresse de conférences (University of Poitiers)	Birational geometry, foliations.
2015-16	Andrea Fanelli	Maître de conférences (University of Bordeaux)	Birational geometry.
2015-16	Jean-Philippe Furter	Maître de conférences (University of Bordeaux)	Affine algebraic geometry.
2013-15	Isac Hedén	Senior lecturer (Uppsala University)	Affine algebraic geometry. Birational geometry.
2011-13	Julie Déserti	Professor (University of Orléans)	Cremona groups. Foliatons.
2010	Hamid Abban	Associate Professor (University of Nottingham)	Birational geometry.