Susanna Zimmermann

Full Professor, Institut de mathématiques d'Orsay, University of Paris-Saclay

susanna.zimmermannATSuniversite-paris-saclay.frS (take away the obvious letters)

Research interests: birational geometry, Cremona groups, algebraic groups, real algebraic geometry
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CV: english, français

Pascal Fong is a postdoc with me.

Two 3-year ERC postdoctoral positions are open on my team, in the general direction of Birational Geometry over closed and non-closed fields, Minimal Model Program, Cremona groups; to start on 1 September 2023 (starting date is flexible).

To apply, send

  • 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 by the reference writers)
to the email-address:
Deadline 2 April 2023 (23h, Paris).


Published articles

  1. Properties of the Cremona group endowed with the Euclidean topology (with Hannah Bergner) [pdf] accepted in Bull. of the Lond. Math. Soc.
  2. Factorization centers in dimension two and the Grothendieck ring of varieties (with Hsueh-Yung Lin and Evgeny Shinder), accepted in Algebraic Geometry [pdf]
  3. Small G-varieties (with Hanspeter Kraft and Andriy Regeta) accepted in Canadian J. of Math. [pdf]
  4. A remark on Geiser involutions, Special New Zealand volume, Europ. J. of Math, 2022 [pdf] [officiel link]
  5. Bijective Cremona transformations of the plane (with Shamil Asgarli, Kuan-Wen Lai and Masahiro Nakahara), to appear in Selecta Math. [pdf]
  6. Algebraic subgroups of the plane Cremona group over a perfect field (with Julia Schneider)
    EpiGA, vol. 5 (2021), no. 14 [pdf] (Official webpage) [erratum]
  7. Continuous automorphisms of Cremona groups (with Christian Urech)
    Int. J. of Math., vol. 32, no.4 (2021) [pdf]
  8. Quotients of higher dimensional Cremona groups (with J. Blanc and S. Lamy)
    Acta Math. Vol. 226, No. 2 (2021), pp. 211-318 [pdf]
  9. The real plane Cremona group is a non-trivial amalgam
    Annales de l'Institut Fourier, Volume 71 (2021) no. 3, pp. 1023-1045 [pdf]
  10. Signature morphisms from the Cremona group over a non-closed field (with S. Lamy)
    J. Eur. Math. Soc. 22 (2020), 3133-3173 [pdf]
  11. A new presentation of the plane Cremona group (with C. Urech)
    Proceedings of the AMS, vol. 147, no. 7 (2019) 2741-2755. [pdf]
  12. 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]
  13. Infinite algebraic subgroups of the real Cremona group (with M. F. Robayo)
    Osaka J. of Math., vol.55, no.4 (2018), 681-712 [pdf]
  14. The abelianisation of the real Cremona group
    Duke Math. J. vol. 167, no.2 (2018), 211-267 [pdf]
  15. Topological simplicity of the Cremona groups (with J. Blanc)
    Amer. J. Math. 140 (2018), no. 5, 1297-1309 [pdf]
  16. The decomposition group of a line (with I. Heden)
    Proc. Amer. Math. Soc. 145 (2017), no. 9, 3665-3680 [pdf]
  17. The Cremona group is compactly presented
    J. London Math. Soc. 93, no. 1 (2016), 25-46[pdf] [official page]


Upcoming events

Past events

Media in which I appear

Upcoming talks

Recent talks

Some recorded talks

Visualize relations among Sarkisov links

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

Decompose birational maps of the plane

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: