Research
My research concerns Galois representations attached to elliptic curves. In particular, it focuses on problems related to Serre's Uniformity Question.
Publications
- Serre's uniformity question and proper subgroups of $C_{ns}^+(p)$ (joint with Davide Lombardo)
Accepted for publication in Algebra & Number Theory
Preprints
- Effective bounds for adelic Galois representations attached to elliptic curves over the rationals, 2024
- On 7-adic Galois representations for elliptic curves over $\mathbb{Q}$, 2025 (joint with Davide Lombardo)
- Explicit p-adic Hodge theory for elliptic curves and non-split Cartan images, 2026 (joint with Matthew Bisatt and Davide Lombardo)