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- | PhD Student | periodic rational points of endomorphisms of the line | |
| 2010- | Full professor | Cremona groups, birational geometry, affine algebraic geometry, real algebraic geometry | |
| 2020- | PhD Student | Real forms, Automorphisms of rational surfaces | |
| 2020- | PhD Student | Finite subgroups of the Cremona groups | |
| 2018- | PhD Student | Automorphisms of projective bundles over curves and surfaces | |
| 2018- | PhD Student | Algebraic statistics | |
| 2020- | PhD Student | Polynomial automorphisms and valuations | |
| 2021 | Lecturer | Affine algebraic geometry | |
| 2018- | PhD Student | Birational geometry, Sarkisov links | |
| 2017- | Post-doc | Affine geometry, algebra, birational geometry |
Former PhD students (by chronological order)
| Years | Name | Current position | Title of PhD and articles written during it |
|---|---|---|---|
| 2016-20 | Post-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 preprint Relations in the Cremona group over perfect fields Ann. Inst. Fourier (to appear) Plane curves of fixed bidegree and their Ak-singularities. North-West. Eur. J. Math. 6 (2020), 45-89. | |
| 2014-18 |
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 | 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 | Maîtresse 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. | |
| 2010-14 | 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. |
Former other members of the group (by chronological order)
| Years | Name | Current position | Subject |
|---|---|---|---|
| 2020-2021 | Post-doc (ICMS, Sofia) | Birational geometry, singularity theory, computer algebra | |
| 2018-2021 | Hadamard Post-doc (Polytechnique, Paris) | Birational geometry, real geometry, groups, symplectic manifolds | |
| 2017-20 | Maîtresse de conférences (University of Paris-Sarclay) | Cremona groups, geometric group theory, Voronoi cells. | |
| 2016-17 | Maîtresse de conférences (University of Poitiers) | Birational geometry, foliations. | |
| 2015-16 | Maître de conférences (University of Bordeaux) | Birational geometry. | |
| 2015-16 | Maître de conférences (University of La Rochelle) | Affine algebraic geometry. | |
| 2013-15 | Post-doc (KTH - Stockholm) | Affine algebraic geometry. Birational geometry. | |
| 2011-13 | Maîtresse de conférences (University of Nice) | Cremona groups. Foliatons. | |
| 2010 | Lecturer (University of Loughborough) | Birational geometry. |