My research revolves around the arithmetic of elliptic curves and is motivated by the Birch and Swinnerton-Dyer conjecture.
Recently, I have been exploring the significance of plectic ideas for higher rank elliptic curves.
Research interests
Elliptic curves
Automorphic and p-adic L-functions
(p-adic) Automorphic forms
Euler systems
Iwasawa theory
Plectic conjectures
Photo courtesy of the Simons Foundation
E-mail : mfornea.research [at] gmail.com
Upcoming trips and conferences
August 18-22, 2025. Darmonfest: Arithmetic cycles, Modular Forms and L-functions. Montréal.
Publications
On the algebraicity of polyquadratic plectic points (with L. Gehrmann) Journal
Plectic Stark-Heegner points (with L. Gehrmann) Journal
Plectic p-adic invariants (with X. Guitart and M. Masdeu) Journal
Hirzebruch-Zagier classes and rational elliptic curves over quintic fields (with Z. Jin) arXiv Accepted for publication
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