I work on images of Galois representation of elliptic curves, and more generally of abelian varieties, as well as their connections with the inverse Galois problem. I have worked more specifically on the phenomena of entanglement of division fields.

===== Publications =====


  * Polynomials realizing images of Galois representations of an elliptic curve, Zoé Yvon, Functiones et Approximatio, 69.1 (2023), 113-136, doi:10.7169/facm/2106.
   
   * Coincidence of division fields of an elliptic curve defined over a number field, Zoé Yvon, Preprint, arXiv. [[https://arxiv.org/abs/2407.14370]]


=== Thesis ===

<color #e53ff9>Title</color>: Galois representations of elliptic curves and entanglement of division fields

<color #e53ff9>Supervised by</color> Samuele Anni and David Kohel, <color #e53ff9>defended on</color> December 13th, 2024. Winner of the AMU thesis prize for theses defended in 2024.

Download here {{ :fr:manuscrit_de_these_zoe_yvon.pdf |}}.