C. Skinner

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math.NT2025

Mazur's main conjecture at Eisenstein primes

Francesc Castella, Giada Grossi, Christopher Skinner

Let $E / Q$ be an elliptic curve, let $p > 2$ be a prime of good reduction for $E$ , and assume that $E$ admits a rational $p$ -isogeny with kernel $F_{p} (I ¨ )$ . In this p…

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

Anti-cyclotomic Euler system of diagonal cycles

Shilin Lai, Christopher Skinner

We construct split anti-cyclotomic Euler systems for Galois representations attached to certain RACSDC automorphic representations on the group $\mathrm{GL}_n\times\mathrm{GL}_{n+1…

Mazur's main conjecture at Eisenstein primes

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

Anti-cyclotomic Euler system of diagonal cycles

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