A. Shnidman

activity

20122026

most citedThe average size of the 3-isogeny Selmer groups of elliptic curves

y^{2} = x^{3} + k

23 citations · 108 across the 30 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.NT2026

Exceptional points on Atkin--Lehner quotients

Eran Assaf, Sachi Hashimoto, Ari Shnidman

We study the rational points on the star curve $X_{0}^{*} (N) := X_{0} (N) / W (N)$ , the quotient of the classical modular curve $X_{0} (N)$ by the full group of Atkin--Lehner involutions, for s…

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 $Q$ . 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 $Q$ -rational points on all modula…