7 papers
On the torsion in the Chow motive of an Enriques surface
Jake Huryn, William C. Newman
The integral Chow motive of an Enriques surface is determined by a torsion summand , which contributes the torsion in the cohomology of . We study isomorphi…
Torsion of Abelian varieties over solvable extensions of number fields
Jake Huryn
Let be a number field, and let be an Abelian variety over which has no CM isogeny-factors over . We prove that has only finitely many torsion points o…
Compatibility of -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 -adic local systems and canonical -isocrystals on adjoint Shimura var…
Transport of Zariski density in compatible collections of -representations
Jake Huryn, Yifei Zhang
Let be a connected normal scheme of finite type over , let be a connected reductive group over , and let $\{ρ_\ell\colonπ_1(X[1/\ell])\to G(\mathbf{…
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 norm of an exponential sum over the primes formed with…
An Extension of Stanley's Symmetric Acyclicity Theorem to Signed Graphs
Oscar Coppola, Jake Huryn, Michael Reilly
In 1995, Richard Stanley introduced the chromatic symmetric function of a graph and proved that, when written in terms of the elementary symmetric functions, it reveals t…
Discordant sets and ergodic Ramsey theory
Vitaly Bergelson, Jake Huryn, Rushil Raghavan
We explore the properties of non-piecewise syndetic sets with positive upper density, which we call "discordant", in countably infinite amenable (semi)groups. Sets of this kind are…