Bruce W. Jordan

collaborators

3 papers

math.CO2025

Generalized Jacobians of graphs

Bruce W. Jordan, Kenneth A. Ribet, Anthony J. Scholl

We define a generalized Jacobian $J_{m} (Gr)$ and a generalized Picard group $P_{m} (Gr)$ of a graph $Gr$ with respect…

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…

Generalized Jacobians of graphs

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

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