Research

Preprints

• A. Caminata,  S. Shideler,  K. Tucker and F. Zerman,  F-signature functions of diagonal hypersurfaces. (Submitted, Arxiv)

Publications

• L. Mastella and F. Zerman, On anticyclotomic Euler and Kolyvagin systems, 2026. To appear in the Annales mathématiques du Québec. (Arxiv)

• F. Zerman,  Quaternionic Kolyvagin systems and Iwasawa theory for Hida families, 2026. To appear in Mathematical Research Letters. (Arxiv )

• A. Caminata and F. Zerman, Hilbert-Kunz series, F-signature series, and weak p-fractals, 2026. Accepted for the volume “The Landscape of Commutative Algebra”, to appear in the Lecture Note Series of the London Mathematical Society, Cambridge University Press. (Arxiv)

Master Thesis

If you are curious, you can find my master thesis here. Title: "The Iwasawa main conjecture for elliptic curves and its applications to the Birch and Swinnerton-Dyer conjecture". Supervisor: Prof. Matteo Longo.