Neil Dummigan

collaborators

3 papers

math.NT2026

Modular elliptic curves and hyperbolic uniformization

Neil Dummigan, Devendra Tiwari

In an article published a few years before the modularity of elliptic curves over $\Q$ was proved, Mazur \cite{maz} looked at modularity as a purely complex analytic phenomenon, de…

math.NT2026

The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_{2}$ of some elliptic curves

Neil Dummigan, Vasily Golyshev, Rob de Jeu +1

For certain integers $u$ , we investigate the 2-part of the Bloch-Kato conjecture for $L (E_{u}, 2)$ , where $E_{u} : y^{2} = x (x + 1) (x + u^{2})$ is part of a (twisted) Legendre family that is 2-iso…

math.NT2026

Modularity of a certain "rank-2 attractor" Calabi-Yau threefold

Neil Dummigan

We prove that the 4-dimensional Galois representations associated with a certain Calabi-Yau threefold are reducible, with 2-dimensional composition factors coming from specific mod…

Modular elliptic curves and hyperbolic uniformization

The 2-part of the Bloch-Kato conjecture, and indivisibility results, for K2​ of some elliptic curves

Modularity of a certain "rank-2 attractor" Calabi-Yau threefold

The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_{2}$ of some elliptic curves