Faculté des sciences · Institut de mathématiques · Prof. Jérémy Blanc

Institut de mathématiques

Institut de mathématiques

Prof. Jérémy Blanc

Collaborateurs actuels à Neuchâtel (chaire de géometrie algébrique):

Marc Abboud (post-doctorant)

Elias Kurz (doctorant)

Anne Schnattinger (doctorante)

Claudia Stadlymayr (post-doctorate)

Henrik Wehrheim (doctorant)

 

 

Politique concernant les journaux:

Depuis 2016, je ne publie plus d’articles et je ne fait plus de rapports pour des revues non académiques (et donc je ne considère pas les journaux édités par Elsevier/Springer/Birkäuser/…). J’essaie de privilégier les revues en libre accès, dans le bon sens du terme (accès ouvert gratuitement pour les auteurs et pour les lecteurs). Voici une liste de tels journaux.

Birational self-maps of threefolds of (un)-bounded genus or gonality (with I. Cheltsov, A. Duncan and Y. Prokhorov).
Amer. J. Math. 144 (2022), no. 2, 575-597. [doi]
Quotients of higher dimensional Cremona groups (with S. Lamy and S. Zimmermann).
Acta Math. 226 (2021), no. 2, 211-318. [doi]
Exceptional isomorphisms between complements of affine plane curves (with J.-P. Furter and M. Hemmig).
Duke Math. J. 168 (2019), no. 12, 2235-2297. [doi]
Topological simplicity of the Cremona groups (with S. Zimmermann).
Amer. J. Math. 140 (2018), no. 5, 1297-1309.   [doi]
Dynamical degrees of birational transformations of projective surfaces (with S. Cantat).
J. Amer. Math. Soc. 29 (2016), no. 2, 415-471.  [doi]
Topologies and structures of the Cremona groups (with J.-P. Furter).
Ann. of Math. 178 (2013), no. 3, 1173-1198.  [doi]
Groupes de Cremona, connexité et simplicité.
Ann. Sci. Éc. Norm. Supér. 43 (2010), no. 2, 357-364.  [doi]

Anna Bot
2020-24Post-doc
(ETHZ)		 On real forms and birational transformations

Relative forms of real algebraic varieties and examples of quasi-projective surfaces with algebraic moduli of real forms(with A. Dubouloz)
preprint

The ordinal of dynamical degrees of birational maps of the projective plane
C. R. Math. Acad. Sci. Paris 362 (2024), 117–134.

Real forms of some Gizatullin surfaces and Koras-Russell threefolds (with J. Blanc and P. Poloni)
Publ. Mat. 67 (2023), no. 2, 851–890.

A smooth complex rational affine surface with uncountably many real forms
Ann. Sci. Éc. Norm. Supér. (à paraître).

Real forms on rational surfaces
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 24 (2023), no. 3, 1301–1326.
Pascal Fong
2018-22Post-doc
(Hannover)		 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.
Annales de l’Institut Fourier, Tome 74 (2024) no. 2, pp. 545-587.
Sokratis Zikas
2018-22Post-doc
(IMPA)		 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.
Julia Schneider
2016-20CNRS
(Dijon)		 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.
Mattias Hemmig
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.
Christian Urech
2013-17Senior Lecturer
(ETHZ)		 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
Susanna Zimmermann
2013-16Professor
(Basel)		 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.
Maria Fernanda Robayo
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.

Enseignement mathématique (académique, libre après 5 ans)

New York Journal of Mathematics (académique, open access)

Commentarii Mathematici Helvetici (académique, subscribe to open)

Annales de la Faculté des Sciences de Toulouse (académique, open access)

Membre du comité scientifique de l’école d’été « Groupe de Cremona » (2025)

Organisateur, avec Z. Patakfalvi, d’une « Birational geometry conference » (2022)

Organisateur, avec M. Hemmig, C. Urech, S. Zimmermann, de la  Cremona Conference 2016

2024 Frontiers of Science Award in Mathematics – Commutative Algebra and Algebraic Geometry
2024 Frontiers of Science Award in Mathematics – Dynamical Systems and Ergodic Theory
2011 Enriques Prize
2008 prix Vacheron Constantin
1999 prix Marc Birkigt (mathématiques / physique / application des maths)