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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.