I am an Assistant Professor (rtdb) at the University of Padova.
My research revolves around the arithmetic of elliptic curves and is motivated by the Birch and Swinnerton-Dyer conjecture.
Research interests
Elliptic curves
Automorphic and p-adic L-functions
p-adic Kudla program
Euler systems
Iwasawa theory
Plectic conjectures
Photo courtesy of the Simons Foundation
E-mail : mfornea.research [at] gmail.com
Publications
On the algebraicity of polyquadratic plectic points (with L. Gehrmann) arXiv Journal
Plectic Stark-Heegner points (with L. Gehrmann) arXiv Journal
Plectic p-adic invariants (with X. Guitart and M. Masdeu) arXiv Journal
Hirzebruch-Zagier classes and rational elliptic curves over quintic fields (with Z. Jin) arXiv Journal
Growth of the analytic rank of modular elliptic curves over quintic extensions Journal
Twisted triple product p-adic L-functions and Hirzebruch-Zagier cycles (with I. Blanco-Chacón) Journal
Extras
A short interview for the Simons Foundation: Elliptic Curves: Simple Equations Still Shrouded in Mystery
Recordings from the "Algebraic Cycles, L-values and Euler Systems" semester at MSRI/SLMath:
> Plectic Stark-Heegner points: p-adic and Archimedean analogies
The recording from Nekovář's memorial conference at IHES: Mock plectic points
Colloquium talk at the MdM annual workshop: On the arithmetic of elliptic curves