Martin Scotti

E-mail: msco@math.aau.dk

A succinct cv (updated on 17/01/2025).

I am currently a postdoc researcher at Aalvorg University. My Ph.D., which was supervised by Wolfgang Schmid and Martino Borello, focused on the links between additive combinatorics (in particular the problem of the Davenport constant) and algebraic coding theory, and it was funded by ANR Barracuda.

My research interests are in algebraic coding theory, and related geometrical and combinatorial problems.

Preprints :

• Rank-metric intersecting codes (with M. Borello), extended abstract, WCC 2026 (2026)
• Linear rank-metric intersecting codes (with D. Bartoli, M. Borello, and G. Marino), to appear
• The maximum number of nonzero weights of linear rank-metric codes (with C. Castello and P. Santonastaso), submitted
• Recent advances on minimal codes, submitted

Publications :

• On the lower bound for the length of minimal codes, Discrete Mathematics, Volume 347, Issue 1, January 2024, 113676
• The geometry of intersecting codes and applications to additive combinatorics and factorization theory (with M.Borello and W. Schmid), to appear in Journal of Combinatorial Theory, Series A

My Ph.D. thesis can be found here.

My first Master's thesis can be found here.

My second Master's thesis can be found here.

All of them are in french and may still contain some typos.