Number theory
Post-doctoral Researcher
Francesco Zerman is a postdoctoral researcher in the Number Theory group at UniDistance since May 2024. Before this, he obtained his Ph.D. at University of Genova under the supervision of Stefano Vigni.
His research interests are mainly in algebraic number theory. He mostly focuses on the study of the arithmetic of Galois representations, in particular those coming from elliptic curves and (families of) modular forms, and their associated L-functions. He is also working on the explicit computation of some numerical invariants attached to rings in positive characteristic.
Functions at UniDistance Suisse
Faculty of Mathematics and Computer Science
- Post-doctoral Researcher
Number theory
- Post-doctoral Researcher
Publications
Ongoing projects
- F. Zerman, Quaternionic Kolyvagin systems and Iwasawa theory for Hida families.
- L. Dall’Ava, F. Zerman, Big Heegner points in towers of Pizer curves.
- A. Caminata, F. Zerman, Weak p-fractals and Hilbert-Kunz series of hypersurfaces.
Preprints
- A. Caminata, S. Shideler, K. Tucker, F. Zerman, F-signature functions of diagonal hypersurfaces. (ArXiv)
Theses
- Ph.D. Thesis: Quaternionic Kolyvagin systems and Iwasawa theory for Hida families. (2024)
- Master Thesis: The Iwasawa main conjecture for elliptic curves and its applications to the BSD conjecture. (2020)
Research groups
