4 papers
Density of algebraic points on products of curves
Jennifer Berg, Yu Fu, Evangelia Gazaki +3
In this paper, we initiate the systematic study of density of algebraic points on surfaces. We give an effective asymptotic range in which the density degree set has regular behavi…
Cyclic Cubic Points on Higher Genus Curves
James Rawson
The distribution of degree points on curves is well understood, especially for low degrees. We refine this study to include information on the Galois group in the simplest inte…
On a problem posed by Bjorn Poonen
James Rawson
Bjorn Poonen asked whether there exists a polynomial giving a surjection . We answer this question in the negative, conditional on a co…
Computing Tangent Spaces to Eigenvarieties
James Rawson
We develop an effective algorithm to compute the derivative of a Bianchi modular form with respect to weight space as it varies in a -adic family. This method is entirely local…