James Rawson

I am a Post-Doctoral Research Associate at the University of Glasgow, working with Damián Gvirtz-Chen. Previously, I was a PhD student at the University of Warwick under the supervision of Samir Siksek. My research interests are at the intersection of number theory and algebraic geometry (arithmetic geometry). More precisely, I'm interested in low degree points on curves and their arithmetic properties (such as Galois group) as well as rational points on higher dimensional varieties. I am also interested in questions connecting to computational number theory, modular curves and algebraic cycles.

Publications and Preprints

• On Modified Diagonal Cycles and the Beauville Decomposition of the Ceresa Cycle (with Lucas Lagarde, Mohamed Moakher, Morena Porzio and Fernando Trejos Suárez) arxiv
• Density of Algebraic Points on Products of Curves (with Jennifer Berg, Yu Fu, Evangelia Gazaki, Morena Porzio and Isabel Vogt) arxiv
• Ceresa Cycles of X0(N) (with Elvira Lupoian) arxiv
• Cyclic Cubic Points on Higher Genus Curves Journal of the London Mathematical Society, arxiv
• On a Problem Posed by Bjorn Poonen arxiv
• Computing Tangent Spaces to Eigenvarieties arxiv
• Three-torsion Subgroups and Wild Conductor Exponents of Plane Quartics (with Elvira Lupoian) Research in number Theory, arxiv
• Some Obstructions to Solvable Poitns on Higher Genus Curves Bordeaux Journal of Number Theory, arxiv

Miscellaneous

• I am a co-organiser of the Glasgow Algebra and Number Theory Seminar.
• In 2024, I was a co-organiser of the Warwick Junior Number Theory Seminar.