Francesco Zerman
Francesco Zerman
Postdoctoral Researcher in Number Theory
Since May 2024 I am a Postdoctoral Researcher at FernUni Schweiz/UniDistance Suisse under the direction of Prof. David Loeffler.
Since May 2024 I am a Postdoctoral Researcher at FernUni Schweiz/UniDistance Suisse under the direction of Prof. David Loeffler.
In February 2024 I obtained my Ph.D. degree in Mathematics at Università degli studi di Genova, under the supervision of Prof. Stefano Vigni.
In February 2024 I obtained my Ph.D. degree in Mathematics at Università degli studi di Genova, under the supervision of Prof. Stefano Vigni.
In July 2020 I obtained the Master Degree in Mathematics at University of Padova, under the supervision of Prof. Matteo Longo.
You can find my CV here.
Me in the Rosengarten (Catinaccio) group (BZ, Italy), Aug. 2022.
Research interests
Research interests
My main research area is algebraic number theory. I am interested in the arithmetic of Galois representations, in particular those coming from elliptic curves and (families of) modular forms.
My main research area is algebraic number theory. I am interested in the arithmetic of Galois representations, in particular those coming from elliptic curves and (families of) modular forms.
My current work is mainly about building big Heegner points and Kolyvagin systems attached to Hida families of modular forms, with an eye on applications in order to bound Selmer groups and to obtain results about the Iwasawa main conjecture in this setting.
My current work is mainly about building big Heegner points and Kolyvagin systems attached to Hida families of modular forms, with an eye on applications in order to bound Selmer groups and to obtain results about the Iwasawa main conjecture in this setting.
I am also interested in the explicit computation of some invariants (Hilbert-Kunz multiplicity and F-signature function) associated with rings of positive characteristic.
I am also interested in the explicit computation of some invariants (Hilbert-Kunz multiplicity and F-signature function) associated with rings of positive characteristic.
Contacts
Contacts
Email: francesco.zerman@unidistance.ch
Email: francesco.zerman@unidistance.ch
Me climbing Picco di Vallandro (BZ, Italy), Dec. 2023.