• Automorphism groups of Mori Del Pezzo fibrations over an irrational curve[pdf] (with Pascal Fong)

Published articles

1. Real forms of Mori fiber spaces with many symmetries [arxiv] (with R. Terpereau)
   accepted in Ann. della Sc. Norm. Sup. di Pisa, Classe di Scienze
2. Explicit Sarkisov program for regular surfaces over arbitrary fields and applications (with Fabio Bernasconi, Andrea Fanelli and Julia Schneider)
   accepted in Mem. of the EMS [pdf]
3. Maximal subgroups in the Cremona groups (with Andrea Fanelli and Enrica Floris ) [pdf] (11/2023)
   Comp. Math., Vol.161, Issue 9, 2442 - 2460
4. Survey on normal subgroups of Cremona groups [pdf] (06/2023)
   to appear in EMS Surveys in Math. Sc.
5. Birational involutions of the real projective plane (with Ivan Cheltsov, Frédéric Mangolte and Egor Yasinsky) [pdf] (07/2022),
   to appear in JEMS
6. Properties of the Cremona group endowed with the Euclidean topology (with Hannah Bergner) [pdf]
   Bull. of the Lond. Math. Soc., vol. 55 (2023), issue 4, 1817-1836.
7. Factorization centers in dimension two and the Grothendieck ring of varieties (with Hsueh-Yung Lin and Evgeny Shinder),
   Algebraic Geometry, 10 (6), 666–693 [pdf]
8. Small G-varieties (with Hanspeter Kraft and Andriy Regeta)
   to appear in Canadian J. of Math., 2024; 76(1), 173-215. [pdf][official page]
9. A remark on Geiser involutions,
   Special New Zealand volume, Europ. J. of Math, 2022 [pdf] [official link]
10. Bijective Cremona transformations of the plane (with Shamil Asgarli, Kuan-Wen Lai and Masahiro Nakahara),
    Selecta Math. New Ser. 28, 53 (2022)[pdf]
11. Algebraic subgroups of the plane Cremona group over a perfect field (with Julia Schneider)
    EpiGA, vol. 5 (2021), no. 14 [pdf]
12. Continuous automorphisms of Cremona groups (with Christian Urech)
    Int. J. of Math., vol. 32, no.4 (2021) [pdf]
13. Quotients of higher dimensional Cremona groups (with J. Blanc and S. Lamy)
    Acta Math. Vol. 226, No. 2 (2021), pp. 211-318 [pdf]
14. The real plane Cremona group is a non-trivial amalgam
    Annales de l'Institut Fourier, Volume 71 (2021) no. 3, pp. 1023-1045 [pdf]
15. Signature morphisms from the Cremona group over a non-closed field (with S. Lamy)
    J. Eur. Math. Soc. 22 (2020), 3133-3173 [pdf]
16. A new presentation of the plane Cremona group (with C. Urech)
    Proceedings of the AMS, vol. 147, no. 7 (2019) 2741-2755. [pdf]
17. 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]
18. Infinite algebraic subgroups of the real Cremona group (with M. F. Robayo)
    Osaka J. of Math., vol.55, no.4 (2018), 681-712 [pdf]
19. The abelianisation of the real Cremona group
    Duke Math. J. vol. 167, no.2 (2018), 211-267 [pdf]
20. Topological simplicity of the Cremona groups (with J. Blanc)
    Amer. J. Math. 140 (2018), no. 5, 1297-1309 [pdf]
21. The decomposition group of a line (with I. Heden)
    Proc. Amer. Math. Soc. 145 (2017), no. 9, 3665-3680 [pdf]
22. 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

• 2021 - 24: I was organising the annual Lectures Sophie Kowalevski (a master class at level M1) with C. Fermanian Kammerer and N. Raymond and A. Occelli

• 12-13.11.2026: BENDZ, Basel
• 29.3.-2.4.2027: Queerly Supporting Mathematics, CIRM, with Solène Esnay (Univ. Marseille), Nolwenn Le Quellec (Univ. Rennes), Anne Pichon (Univ. Marseille), N. Raymond (Univ. Angers)
• 13-14 May 2027: Math in May, Basel, organised with C. Saffirio (Univ. Freiburg)
• 1-5 November 2027: Variétés de Fano : géométrie équivariante, rationalité et méthodes effectives, CIRM, with I. Cheltsov (Univ. Edinburgh), F. Mangolte (Univ. Aix-Marseille), L. Heuberger (Univ. Aix-Marseille), E. Yasinsky (Univ. Bordeau)

• École de recherche Axel Harnack et Felix Klein, 14-18.9.2026, Lyon, with F. Mangolte (Univ. Marseille) and J.-Y. Welschinger (Univ. Lyon)
• Cremona conference 2026, 31.8.-11.9.2026, Basel and Neuchâtel, with J. Blanc (Neuchâtel), J. Schneider (CNRS, Univ. Bourgogne), C. Urech (ETH)
• Oberwolfach Mini-workshop, 8.-12.12.2025, with E. Di Nezza (Univ. Tor Vergata) and E. Floris (Univ. Toulouse)
• Thematic semester in 2025 on K-stability and birational geometry of real Fano threefolds
• Fano Varieties in Cetraro, 9-13 September 2024, Cetraro; organising with I. Cheltsov and A. Fanelli, supported by ERC Saphidir
• EpiGA conference 2024, 10 - 14 June 2024, Jussieu (Sorbonne University), Paris, with S. Boucksom, B. Claudon, G. Pacienza and C. Voisin, supported by ERC Saphidir
• K-Stability, Birational Geometry and Mirror Symmetry, Oberwolfach, 17-22 March 2024, with T. Delcroix and L. Heuberger
• 13th swiss-french workshop in Algebraic Geometry, 29 January - 2 February 2023, financial support by ERC Saphidir
• Birational Geometry and Regulous Functions, 6-9 June 2023, member of scientific committee, supported by ERC Saphidir.
• 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

• 8-12 March 2027Interactions between algebraic geometry and geometric group theory
• 15-19 March 2027: The 19th MSJ-SI on Complex, Algebraic, and Arithmetic Dynamics, Tokyo, Japan

• 21-25 Sept 2026: Perspectives en géométrie algébrique réelle (conference dedicated to the 60th birthday of Ilia Itenberg), Lyon
• 23-30 July 2026: ICM 2026, Section Algebraic and Complex Geometry
• 26-29 May 2026: Research School in Real Algebraic Geometry II, SISSA
• 20-24 April 2026: K-Stability and Equivariant Birational Geometry, Edinburgh
• 16.-20.6.2025: Workshop on Cremona groups, University of Grenoble
• 28.10 - 1.11.2024: Birational Geometry and Number Theory, ICMS Edinburgh
• 19. - 23.8.2024: V ELGA, Cabo Frio, RJ, Brazil
• 5.-8.5.2024: Algebraic Transformation Groups, Monte Verita, Switzerland

• 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
• 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

• Susanna Zimmermann, PI
• Eduardo Alves da Silva, postdoc
• Mebarka Bettayeb, PhD student
• Tiago Duarte Guerreiro, postdoc
• Pascal Fong, postdoc (now at the University of Hannover)
• Dongchen Jiao, postdoc
• Daniela Paiva, postdoc
• Antoine Pinardin, postdoc
• Anastasia Vikulova, postdoc

• Carolina Araujo (IMPA)
• Alexander Duncan (University of North Carolina)
• Patricio Gallardo (University of California, Riverside)
• Daniela Paiva (IMPA)

1. Eduardo Alves da Silva, Fernando Figueroa, Joaquín Moraga, José Ignacio Yáñez: Cluster type smooth Fano threefolds [arXiv] (10/2026)
2. Konstantin Loginov, A. Pinardin, Zhijia Zhang: Finite abelian groups acting on rationally connected threefolds II: groups of K3 type [arXiv] (09/2025)
3. Ivan Cheltsov, A. Pinardin, Yuri Prokhorov: Simple subgroups of the real space Cremona group[arXiv] (11/2025)
4. T. Duarte Guerreiro and Sokratis Zikas: On Mori dreamness of blowups along space curves [arXiv] (09/2025)
5. T. Duarte Guerreiro and Takuzo Okada: A survey on birational Rigidity of threefold Weighted Complete Intersections [arXiv] (08/2025), to appear in EMS. Surv. Math. S.
6. T. Duarte Guerreiro, L. Giovenzana, N. Viswanathan: On K-stability of P3 blown up along a smooth genus 2 curve of degree [arxiv] (12/2024)
7. Eduardo Alves da Silva, Fernando Figueroa, Joaquín Moraga: Algebraic tori in the complement of quartic surfaces, J. London Math. Soc., vol 113, issue 1 [arxiv] [paper]
8. P. Fong and M. Maccan: Isotrivial elliptic surfaces in positive characteristic [arxiv] (05/2024)
9. S. Zimmermann, Fabio Bernasconi, Andrea Fanelli and Julia Schneider: Explicit Sarkisov program for regular surfaces over arbitrary fields and applications [pdf] (04/2024)
10. S. Zimmermann and R. Terpereau: Real forms of Mori fiber spaces with many symmetries [arxiv] (03/2024)
11. Eduardo Alves da Silva: Birational geometry of Calabi-Yau pairs (P3,D) of coregularity 2, accepted in Publicacions Matemàtiques [arxiv]
12. Eduardo Alves da Silva: On the decomposition group of a nonsingular plane cubic by a log Calabi-Yau geometrical perspective, Transf. Groups, 31(2), 2026 [arxiv] (02/2024)
13. A. Fanelli, E. Floris , S. Zimmermann: Maximal subgroups in the Cremona groups [pdf] (11/2023)
14. P. Fong: Automorphism groups of \PP^1-bundles over ruled surfaces, [pdf] (10/2023)
15. S. Zimmermann: Survey on normal subgroups of Cremona groups [pdf] (06/2023)
16. A. Boitrel: Del Pezzo surfaces of degree 5 over perfect fields [arxiv] (04/2023)

• Cremona conference 2026
• Thematic semester in 2025 on K-stability and birational geometry of real Fano threefolds
• Fano Varieties in Cetraro, 9-13 September 2024, Cetraro; organising with I. Cheltsov and A. Fanelli, supported by ERC Saphidir
• EpiGA conference 2024, 10 - 14 June 2024, Jussieu (Sorbonne University), Paris, organised with S. Boucksom, B. Claudon, G. Pacienza and C. Voisin
• 13th swiss-french workshop in Algebraic Geometry, 29 January - 2 February 2023, organised with A. Fanelli and J. Schneider
• Birational Geometry and Regulous Functions, 6-9 June 2023,
  member of scientific committee

• 2021 - 24: co-organisation of the annual Lectures Sophie Kowalevski (a master class at level M1) with C. Fermanian Kammerer and N. Raymond and A. Occelli
• Ambassador of the museum space Maison Poincaré in 2023
• Ambassador of the Fête de la Science of the Region Pays de la Loire in 2021

• Maison Poincaré (in the espace invention)
• Just do math Nos mathématiciennes contre les stéréotypes 2024
• Les Sphères ensorcelées at the Salon Culture et Jeux Mathématiques 2022 in Paris
• 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
• Sphères maudites at the Nuit Européenne des Chercheur.e.s 2020 in Angers

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 name of map : letter for base-points : degree of map : Place : in (choose infinitely near points) Compose transformations name of composition: compose : sub-transformations of

  Transformations details Transformation : Decomposition details