Research and Teaching

Research

Main Research Interests

Algebraic curves over finite fields
- Weierstrass semigroups
- Automorphisms of curves
- Maximal curves
Algebraic Geometry codes
- AG codes from curves
- Locally Recoverable Codes from higher-dimensional varieties
Towers of function fields over finite fields

Journal Papers, Conference Proceedings and Preprints

[10] C. Araujo, L. Costa, B. Malmskog, J. Mello, E. Menezes, C. Salgado, L. Vicino, Codes with hierarchy on surfaces, in preparation.

[9] C. Salgado, L. Vicino, Locally Recoverable Codes with availability from a family of fibered surfaces, in preparation.

[8] P. Beelen, M. Montanucci, L. Vicino, Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus, $q \equiv 0 \pmod 3$, submitted (2025). DOI: https://doi.org/10.48550/arXiv.2502.13815

[7] P. Beelen, M. Montanucci, L. Vicino, Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus, $q \equiv 1 \pmod 3$, Finite Fields and Their Applications, 109 (2025). DOI: https://doi.org/10.1016/j.ffa.2025.102701

[6] L. Landi, M. Timpanella, L. Vicino, Two-point AG codes from one of the Skabelund maximal curves, IEEE Transactions on Information Theory (2024). DOI: https://doi.org/10.1109/TIT.2024.3351862

[5] P. Beelen, M. Montanucci, L. Vicino, Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus, Finite Fields and Their Applications, 92, 102300 (2023). DOI: https://doi.org/10.1016/j.ffa.2023.102300

[4] D. Bartoli, G. Marino, A. Neri, L. Vicino, Exceptional scattered sequences, accepted for publication in Algebraic Combinatorics (2022). DOI: https://doi.org/10.48550/arXiv.2211.11477

[3] L. Landi, L. Vicino, Two-point AG codes from the Beelen-Montanucci maximal curve, Finite Fields and Their Applications, 80, 102009 (2022). DOI: https://doi.org/10.1016/j.ffa.2022.102009

[2] P. Beelen, M. Montanucci, L. Vicino, On the constant $D(q)$ defined by Homma, Arithmetic, Geometry, Cryptography, and Coding Theory 2021, Contemporary Mathematics, vol. 779, 33-40, Amer. Math. Soc. (2022). DOI: https://doi.org/10.48550/arXiv.2201.00602

[1] M. Bonini, M. Sala, L. Vicino, Rational points on cubic surfaces and AG codes from the Norm-Trace curve, Annali di Matematica Pura ed Applicata (1923-), 1-24 (2022). DOI: https://doi.org/10.1007/s10231-022-01237-3