Research

Preprints and publications

• A. Caminata and F.Zerman, Hilbert-Kunz series, F-signature series, and weak p-fractals, 2025. 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)

• F. Zerman,  Quaternionic Kolyvagin systems and Iwasawa theory for Hida families. (Submitted, Arxiv )

• L. Mastella and F. Zerman, On anticyclotomic Euler and Kolyvagin systems. (Submitted, Arxiv)

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