My research focuses mainly on algebraic group schemes and the investigation of their rational actions on varieties. In particular, I am interested in finite unipotent group schemes and in studying their essential dimension.
I am also interested in exploring how the algebraic objects I study can be used in Coding Theory. More widely, I am curious about the applications of Algebraic Geometry to Cryptography.
Preprints:
Infinitesimal commutative unipotent group schemes with one-dimensional Lie algebra (September 2024, https://arxiv.org/abs/2409.11997), submitted
Unexpected subgroup schemes of PGL_{2,k} in characteristic 2 (with D. Tossici, March 2024, https://arxiv.org/abs/2403.09469), submitted
Articles:
Infinitesimal rational actions (December 2023, https://arxiv.org/abs/2312.01765), Trans. Amer. Math. Soc.