Bruce W. Jordan

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math.NT2025

Isogeny graphs of superspecial abelian varieties and Brandt matrices

Bruce W. Jordan, Yevgeny Zaytman

Fix primes $p$ and $ℓ$ with $ℓ \neq = p$ . If $(A, I^»)$ is a $g$ -dimensional principally polarized abelian variety, an $(ℓ)^{g}$ -isogeny of $(A, I^»)$ has kernel a maximal isotropi…

math.NT2025

Statistics of $K$ -groups modulo $p$ for the ring of integers of a varying quadratic number field

Bruce W. Jordan, Zev Klagsbrun, Bjorn Poonen +2

For each odd prime $p$ , we conjecture the distribution of the $p$ -torsion subgroup of $K_{2 n} (O_{F})$ as $F$ ranges over real quadratic fields, or over imaginary quadratic…

math.NT2024

Sarnak's conjecture in quantum computing, cyclotomic unitary group coranks, and Shimura curves

Colin Ingalls, Bruce W. Jordan, Allan Keeton +2

Sarnak's conjecture in quantum computing concerns when the groups $PU_{2}$ and $PSU_{2}$ over cyclotomic rings $Z [I^¶_{n}, 1/2]$ with $Î¶_n=e^{2Ïi/…

Isogeny graphs of superspecial abelian varieties and Brandt matrices

Statistics of K-groups modulo p for the ring of integers of a varying quadratic number field

Sarnak's conjecture in quantum computing, cyclotomic unitary group coranks, and Shimura curves

Statistics of $K$ -groups modulo $p$ for the ring of integers of a varying quadratic number field