Full Professor, Institut de mathématiques d'Orsay, University of Paris-Saclay susanna.zimmermannATSuniversite-paris-saclay.frS (take away the obvious letters)
- Honorary junior member of IUF
- PI of ERC StG Saphidir
- Recipient of the médaille de bronze du CNRS 2020, portrait, a propos and some related math
- Member of ANR "FIBALGA"
- AGRAFr produced these interviews with four women in research in France and Portugal (among them me) for the International Women's Day on 8 March 2022
Pascal Fong is a postdoc with me.
- your up-to-date CV
- your publication list
- a research statement describing both past research and future research plans (max. 5 pages)
- 2 letters of recommendation (sent directly to erc-saphidir.math-at-universite-paris-saclay.fr by the reference writers)
Deadline 2 April 2023 (23h, Paris). |

- Birational involutions of the real projective plane (with Ivan Cheltsov, Frédéric Mangolte and Egor Yasinsky) [pdf] (07/2022)

- Properties of the Cremona group endowed with the Euclidean topology (with Hannah Bergner) [pdf] accepted in Bull. of the Lond. Math. Soc.
- Factorization centers in dimension two and the Grothendieck ring of varieties (with Hsueh-Yung Lin and Evgeny Shinder), accepted in Algebraic Geometry [pdf]
- Small G-varieties (with Hanspeter Kraft and Andriy Regeta) accepted in Canadian J. of Math. [pdf]
- A remark on Geiser involutions, Special New Zealand volume, Europ. J. of Math, 2022 [pdf] [officiel link]
- Bijective Cremona transformations of the plane (with Shamil Asgarli, Kuan-Wen Lai and Masahiro Nakahara), to appear in Selecta Math. [pdf]
- Algebraic subgroups of the plane Cremona group over a perfect field (with Julia Schneider)

EpiGA, vol. 5 (2021), no. 14 [pdf] (Official webpage) [erratum] - Continuous automorphisms of Cremona groups (with Christian Urech)

Int. J. of Math., vol. 32, no.4 (2021) [pdf] - Quotients of higher dimensional Cremona groups (with J. Blanc and S. Lamy)

Acta Math. Vol. 226, No. 2 (2021), pp. 211-318 [pdf] - The real plane Cremona group is a non-trivial amalgam

Annales de l'Institut Fourier, Volume 71 (2021) no. 3, pp. 1023-1045 [pdf] -
Signature morphisms from the Cremona group over a non-closed field (with S. Lamy)

J. Eur. Math. Soc. 22 (2020), 3133-3173 [pdf] -
A new presentation of the plane Cremona group (with C. Urech)

Proceedings of the AMS, vol. 147, no. 7 (2019) 2741-2755. [pdf] - The decomposition groups of plane conics and plane rational cubics (with T. Ducat and I. Heden)

Math. Res. Lett., 26(1) (2019), 35-52 [pdf] - Infinite algebraic subgroups of the real Cremona group (with M. F. Robayo)

Osaka J. of Math., vol.55, no.4 (2018), 681-712 [pdf] - The abelianisation of the real Cremona group

Duke Math. J. vol. 167, no.2 (2018), 211-267 [pdf] - Topological simplicity of the Cremona groups (with J. Blanc)

Amer. J. Math. 140 (2018), no. 5, 1297-1309 [pdf] - The decomposition group of a line (with I. Heden)

Proc. Amer. Math. Soc. 145 (2017), no. 9, 3665-3680 [pdf] - The Cremona group is compactly presented

J. London Math. Soc. 93, no. 1 (2016), 25-46[pdf] [official page]

- Habilitation: Homomorphisms of and from the Cremona group, University of Angers, 2021
- Phd thesis: Compositions and relations in the Cremona groups. University of Basel, 2016
- Master thesis: Geometry and Invariants of the Affine Group. University of Basel, 2013

- I'm organising the annual Lectures Sophie Kowalevski (a master class at level M1) with C. Fermanian Kammerer and N. Raymond.

- Lectures Sophie Kowalevski, 31 mai - 2 juin 2023, organising with C. Fermanian Kammerer and N. Raymond.

- 12th swiss-french workshop in Algebraic Geometry, 30 January - 3 Februrary 2023, organising with A. Fanelli, P. Habegger, J. Schneider and R. Terpereau
- Workshop Birational Complexity of Algebraic Varieties on 12-16 December 2022, organising with
Ignacio Barros,
Robert Lazarsfeld, Olivier Martin,
David Stapleton
- Graduate Workshop on the Birational Complexity of Algebraic Varieties on 5-9 December 2022, organising with Ignacio Barros, Robert Lazarsfeld, Olivier Martin, David Stapleton
- Lectures Sophie Kowalevski, 30 mai - 1 juin 2022, organised with Nicolas Raymond
- Conference in enumerative, real and birational geometry, 6-10 June 2022, Le Croisic, organised with E. Burgallé and F. Mangolte
- Lectures Sophie Kowalevski, 30 mai - 1 juin 2022, organised with Nicolas Raymond
- 11th swiss-french workshop in Algebraic Geometry, 10 - 14 January 2022, organised with P. Habegger, R. Terpereau
- Journées du GDR GAGC à Angers, 24 - 26 November 2021, organised with Stéphane Druel
- 10th swiss-french workshop in Algebraic Geometry, 20 - 24 September 2021, organised with R. Terpereau, P. Habegger
- Algebraic Geometry Angers, 14-18 June 2021, organised with Enrica Floris
- Lectures Sophie Kowalevski, 31 mai - 2 juin 2021, organised with Nicolas Raymond
- 9th swiss-french workshop in Algebraic Geometry, 13-17 January 2020, organised with R. Terpereau, P. Habegger
- FIBALGA à Angers, 20-21 May 2019
- 8th swiss-french workshop in Algebraic Geometry, 7-11 January 2019, organised with R. Terpereau,
P. Habegger
- Journé réelle de CHL , 3 - 4 December, Angers
- Rencontre Angers - Poitiers en géométrie algébrique, 5-6 June 2018, organised with Enrica Floris
- 7th swiss-french workshop in Algebraic Geometry, 8-12 January 2018, organised with R. Terpereau,
P. Habegger
- 6th swiss-french workshop in Algebraic Geometry, 9-13 January 2017, organised with
J. Blanc,
A. Dubouloz,
P. Habegger
- Cremona conference Basel 2016, 5-16 September 2016, organised with J. Blanc, M. Hemmig, C. Urech

- AGRAFr produced these interviews with four women in research in France and Portugal (among them me) for the International Women's Day on 8 March 2022
- Interview Ambassadrice Pays de la Loire Fête de la Science 2021
- Sciences en Direct le 06/10/2021, as ambassador of the Fête de la Science in 2021 des Pays de la Loire
- Les idées reçues sur la recherche scientifique by Nora Minion, as ambassador of the Fête de la Science in 2021 des Pays de la Loire
- On France 3 in Vous êtes formidables on 30/09/2021, as ambassador of the Fête de la Science in 2021 des Pays de la Loire
- In the Podcast Emosons of Labo de savoirs by Dounia Saez on 01/10/2021, as ambassador of the Fête de la Science in 2021 des Pays de la Loire

- 21.-25.8.2023: 4th Korea-France Conference in Mathematics, KIAS, Korea
- 19-21.6.2023: AGGITatE workshop
- 5.-9.6.2023: Birational Geometry and biregulous functions, Le Croisic, France
- 15-17.5.2023: Spring meeting in Milano

- 15.2.2023: Séminaire Raconte-moi, ENS Paris
- 25.1.2023: Algebraic Geometry Seminar, Univ. Saarbrücken
- 20.1.2023: Joint Seminar in Complex Algebraic Geometry and Complex Analysis (Bochum-Essen-Köln-Münster-Wuppertal)
- 19.1.2023: Algebraic Geometry Seminar, Univ. Essen
- 8.-9.12.2022 Journées réelles, Univ. d’Angers
- 28.11-2.12.2022: Rencontre GAGC, CIRM

- Involutions du plan projectif Séminaire francophone en-ligne de groupes et géométrie, October 2022
- Algebraic groups acting birationally on surfaces over a perfect field, online seminar Quadratic forms, Linear algebraic groups and Beyond, May 2021
- Sphères maledictes; popularisation video on the Paradoxon of Banach-Tarski for the Nuit Européenne des Chercheur.e.s 2020 in Angers.
- Finite quotients of Cremona groups ; in the Zoom Algebraic Geometry Seminar, July 2020
- Cremona groups and some quotients; in the seminar ZOOMerFEST (16th edition), May 2020
- Signature morphisms of the Cremona group ; at CIRM, april 2018

Visualize relations among Sarkisov links over a perfect field [here] and [here] on the hompage of Stéphane Lamy.

This is program created by Thibault Chailleux in his [master thesis]. It decomposes any birational map of the complex projective plane into quadratic maps.

Due to long computation time I limited the degree to < 31.
Let me know if you need me to increase the limit.

Here is how it works:

- Crate the map and decompose :
- Give it a name (f,g,...).
- Pick a letter used for the base-points (choose p if you want to name your points p0, p1, p2,...).
- Choose the degree of your transformation. Due to long computation time I limited the degree to < 31.
- Press "Compute transformation". It lists all possible characteristics for your chosen degree. Pick one and press "Compute transformation" again.
- Choose which base-points you want to be infinitely near whom. The points are automatically ordered so that p_i can only be infinitely near p_j, j< i.
- Press "Add transformation". It safes it on the right-hand side, where you also get its decomposition into quadratic transformations. You have now finished creating the transformation.

- If you have created more than one transformation, you can choose under "Transformation" which map you want to see a decomposition of.
- Compose transformations from the right-hand side:
- Choose a name of your decomposition (f,g,...) that you have not used yet.
- Under "Sub transformation" you can choose any of the transformations you have created.
- The list below contains your chosen map and the quadratic transformations from the given decomposition.
- Choose the maps in this list you want to compose. You may change the "sub-transformation" any time to add other maps to the composition.
- Press "compute". You now find the decomposition in the list "Transformation".

### Create transformation

### Compose transformations

compose :

sub-transformations of

### Transformations details

### Decomposition details