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math.NT2024
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…
math.NT2024
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…
math.NT2024
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…