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 | |
2023- | Ambizione Post-Doc | Cremona groups, birational geometry, affine algebraic geometry, real algebraic geometry | |
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 | Algebraic statistics | |
2020- | PhD Student | Polynomial automorphisms and valuations | |
2023- | PhD Student | birational geometry in high dimenion | |
2017- | Post-doc | Affine geometry, algebra, birational geometry | |
2023- | PhD Student | birational geometry in high dimenion |
Former PhD students (by chronological order)
Years | Name | Current position | Title of PhD and articles written during it |
---|---|---|---|
2018-22 | 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 7 (2023), Art. 13, 22 pp Connected algebraic groups acting on algebraic surfaces. Ann. Inst. Fourier (to appear) | |
2018-22 | 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 ℙ^{3} 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 | 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 A_{k}-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 | 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 | 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 |
---|---|---|---|
2021 | High school teacher | Affine algebraic geometry | |
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 Bordeaux) | Affine algebraic geometry. | |
2013-15 | Senior lecturer (Uppsala University) | Affine algebraic geometry. Birational geometry. | |
2011-13 | Professor (University of Orléans) | Cremona groups. Foliatons. | |
2010 | Associate Professor (University of Nottingham) | Birational geometry. |