Shay Ben-Moshe

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20242026

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math.AT2025

Chromatic Higher Semiadditivity by Height Induction

Shay Ben-Moshe

We give a new proof of the $\infty$ -semiadditivity of $K (n)$ -local spectra. The proof proceeds by induction on the height via algebraic K-theory, utilizing recent advances in chrom…

math.AT2024

Higher Semiadditivity in Transchromatic Homotopy Theory

Shay Ben-Moshe

We study the compatibility of higher semiadditivity across different chromatic heights. We prove that the categorified transchromatic character map assembles into a parameterized s…

math.AT2024

Chromatic Cardinalities via Redshift

Shay Ben-Moshe, Shachar Carmeli, Tomer M. Schlank +1

Using higher descent for chromatically localized algebraic $K$ -theory, we show that the higher semiadditive cardinality of a $I ¨ $ -finite $p$ -space $A$ at the Lubin-Tate spectrum $E…