3 papers
math.NT2026
Rational torsion on simple genus two Jacobians
Jennifer S. Balakrishnan, Filip Najman, Ari Shnidman +1
We exhibit new subgroups of rational torsion points in geometrically simple Jacobians of genus-two curves over . The largest group, which has order 96 and invariants [2,…
math.NT2026
Rational points on modular curves: parameterization and geometric explanations
Maarten Derickx, Sachi Hashimoto, Filip Najman +1
We show that, conditional on Zywina's effective version of the Serre uniformity conjecture, there is a natural way to parameterize non-CM -rational points on all modula…
math.NT2025
Sporadic points on
Maarten Derickx, Filip Najman
We determine all integers for which the modular curve admits a sporadic CM point (of any degree), as well as all for which admits a sporadic point, whethe…