I am a second-year PhD student at the University of Bristol, under the wonderful supervision of Céline Maistret and Tim Dokchitser. My main interests are arithmetic geometry and algebraic number theory, especially the local arithmetic of curves and their Jacobians. I am currently thinking about curves over local fields of residue characteristic 2. I am also interested in elliptic curves and abelian varieties over finite fields, and their connections to cryptography.
Previously, I was a master's student at École Polytechnique Fédérale de Lausanne, supervised by Dimitri Wyss. Before that, I completed my undergraduate studies at Universitat Politècnica de Catalunya, and carried out my bachelor's thesis at McGill University, co-supervised by Henri Darmon and Víctor Rotger.
I am one of the organizers of the next edition of the conference Young Researchers in Algebraic Number Theory (Y-RANT).
Contact: jordi.vilacasadevall [at] bristol.ac.uk