Author

Sargam Mondal

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Preprint Sep 2026

Only finitely many modular Jacobians are supersingular modulo a given prime

In this paper, we study supersingularity of modular Jacobians $J_0(N)$ and abelian varieties $A_f$ of $\mathrm{GL}_{2}$-type from both the vertical perspective (where the prime $p$ is fixed, and the level $N$ varies) and the horizontal perspective (where the newform $f$ is fixed, and the prime $p$ varies). Vertically,...

Aarya J. Kumar, Sargam Mondal, Erick Ross et al. · 0 citations

Preprint Sep 2026

Effective Hecke eigenvalue equidistribution over the Atkin--Lehner subspaces

For a fixed prime $p$, let $\mu_p$ denote the $p$-adic Plancherel measure. Then the first main goal of this paper is to prove effective (and moreover explicit) $\mu_p$-equidistribution of the $p$-th Hecke eigenvalues over the Atkin--Lehner subspaces $S_k^\sigma(N) \subseteq S_k(N)$ and $S_k^{\operatorname{new}, \sigma}...

Aarya J. Kumar, Sargam Mondal, Erick Ross et al. · 2 citations