Jake Huryn

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20232026

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math.NT2025

Torsion of Abelian varieties over solvable extensions of number fields

Jake Huryn

Let $K$ be a number field, and let $A$ be an Abelian variety over $K$ which has no CM isogeny-factors over $K$ . We prove that $A$ has only finitely many torsion points o…

math.NT2025

Compatibility of $F$ -isocrystals on adjoint Shimura varieties

Jake Huryn, Kiran S. Kedlaya, Christian Klevdal +1

In this article, we extend past results of the last two authors to include compatibility of canonical $ℓ$ -adic local systems and canonical $F$ -isocrystals on adjoint Shimura var…

math.NT2024

Transport of Zariski density in compatible collections of $G$ -representations

Jake Huryn, Yifei Zhang

Let $X$ be a connected normal scheme of finite type over $Z$ , let $G$ be a connected reductive group over $Q$ , and let $\{ρ_\ell\colonπ_1(X[1/\ell])\to G(\mathbf{…

math.NT2023

The error term in counting prime pairs

Leon Chou, Summer Haag, Jake Huryn +1

We relate the size of the error term in the Hardy-Littlewood conjectured formula for the number of prime pairs to the $L^{1}$ norm of an exponential sum over the primes formed with…

Torsion of Abelian varieties over solvable extensions of number fields

Compatibility of F-isocrystals on adjoint Shimura varieties

Transport of Zariski density in compatible collections of G-representations

The error term in counting prime pairs

Compatibility of $F$ -isocrystals on adjoint Shimura varieties

Transport of Zariski density in compatible collections of $G$ -representations