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
Title: Galois representations of elliptic curves and entanglement of division fields
Supervised by Samuele Anni and David Kohel, defended on December 13th, 2024. Winner of the AMU thesis prize for theses defended in 2024.
Download here manuscrit_de_these_zoe_yvon.pdf.