Guido Maria Lido

Publications

1. Geometric quadratic Chabauty,
   with Bas Edixhoven, in Journal of the Institute of Mathematics of Jussieu, 2021 (arXiv version)

2. Automorphisms of Cartan modular curves of prime and composite level,
   with Valerio Dose and Pietro Mercuri, in Algebra and Number Theory, 2021 (arXiv version)

3. Modular Curves with many Points over Finite Fields,
   with Valerio Dose, Pietro Mercuri and Claudio Stirpe, in Journal of Algebra, 2023 (arXiv version)

4. Supersingular curves you can trust,
   with Andrea Basso, Giulio Codogni, Deirdre Connolly, Luca De Feo, Tako Boris Fouotsa, Travis Morrison, Lorenz Panny, Sikhar Patranabis, and Benjamin Wesolowski, in Eurocrypt 2023 (eprint version)

5. Spectral Theory of Isogeny Graphs,
   with Giulio Codogni, in Journal of Number Theory, 2026 (arXiv version)

6. A provably quasi-polynomial algorithm for the discrete logarithm problem in finite fields of small characteristic,
   in Finite Fields and Their Applications, 2026 (arXiv version)

7. Maximal curves over finite fields and a modular isogeny,
   with Valerio Dose, Pietro Mercuri, Claudio Stirpe, in Finite Fields and Their Applications, 2026 (arXiv version)

8. The SQInstructor: a guide to SQIsign and the Deuring Correspondence with level structures,
   with Giacomo Borin, Luca De Feo, Sina Schaeffler, accepted at CRYPTO 2026 (eprint version)

9. Geometric quadratic Chabauty,
   with Bas Edixhoven, to be published as chapter of the book “Nonabelian Chabauty: Lectures from the 2020 Arizona Winter School”, Mathematical Surveys and Monographs, American Mathematical Society.

Preprints

• On the dynamical Galois group of certain affine polynomials in positive characteristic,
  with Andrea Ferraguti, preprint, 2026

• A multivariate Strassmann theorem,
  with Luca Mauri, preprint, 2026.

• Equationless quadratic Chabauty for non-split Cartan modular curves,
  with Sachi Hashimoto, Davide Lombardo, Nicolas Mascot, Pierre Parent, 2026.

• Automorphisms of general modular curves,
  with Valerio Dose and Pietro Mercuri, 2026.
  
  

Here you can find my PhD thesis, supervised by Bas Edixhoven and René Schoof