Ko Aoki

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20242026

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math.AG2026

Inaccessibility of the flat topology

Ko Aoki, Robert Burklund

We prove that singleton covers in the flat topology on affine schemes are not closed under $I^º$ -cofiltered limits for any regular cardinal $I^º$ . Therefore, for every accessible fla…

math.AG2026

Berkovich $2$ -motives and normed ring stacks

Ko Aoki

The de Rham stack construction of Simpson shows that D-modules are quasicoherent sheaves on a modified geometry. Drinfeld furthermore introduced the ring stack perspective (aka tra…

math.AG2025

Higher Zariski Geometry

Ko Aoki, Tobias Barthel, Anish Chedalavada +2

We revisit the classical constructions of tensor-triangular geometry in the setting of stably symmetric monoidal idempotent-complete $\infty$ -categories, henceforth referred to as…

Inaccessibility of the flat topology

Berkovich 2-motives and normed ring stacks

Higher Zariski Geometry

Berkovich $2$ -motives and normed ring stacks