• 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

[7] P. Beelen, M. Montanucci, L. Vicino, Weierstrass semigroups and automorphism group of a maximal function field with the third largest possible genus, $q \equiv 1 \pmod 3$, submitted (2024). DOI: https://doi.org/10.48550/arXiv.2404.18808

[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

Guest Lecturer

• Algebraic Error-Correcting Codes, Spring 2023

Teaching Assistant and Guest Lecturer

• Discrete mathematics 2: algebra, Fall 2022

Teaching Assistant

• Mathematics 1, Fall 2023

• Advanced linear algebra, Spring 2021

• Fundamental topological concepts and metric spaces, January 2021

Tutor

• Geometry and linear algebra, Fall 2019