I am currently a joint student of Samir Siksek and David Loeffler. My interests in algebraic number theory, focusing on rational points and low degree points on curves and, separately, Bianchi modular forms.

My email address is james.rawson[at]warwick.ac.uk

Curriculum Vitae

Pre-Prints:

Cyclic Cubic Points on Higher Genus Curves (05/24): arxiv

On a Problem Posed by Bjorn Poonen (03/24): arXiv

Computing Tangent Spaces to Eigenvarieties (02/24): arXiv

3-Torsion Subgroups of Jacobians of Plane Quartics (joint work with Elvira Lupoian, 01/24): arXiv

Some Obstructions to Solvable Points on Higher Genus Curves (11/22): arXiv (to appear in the Bordeaux Journal of Number Theory)

Research Talks:

Computing Tangent Spaces to Eigenvarieties at Sheffield Number Theory Seminar, 12/11/24

Points on curves with small Galois group at the University of Zagreb Seminar on Number Theory and Algebra, 02/09/24

On a Problem of Bjorn Poonen at Y-RANT 2024.

Computing Tangent Spaces to Eigenvarieties at the Oxford Junior Number Theory Seminar, 22/01/24

Derivatives of Hecke Eigenvalues in p-adic Families of Modular Forms at Y-RANT 2023. Slides

Some Obstructions to Solvable Points on Higher Genus Curves at Rational Points 2023. Slides

Some Obstructions to Solvable Points on Higher Genus Curves in the Warwick Junior Number Theory Seminar, 02/05/23