Shay Ben-Moshe

activity

20242026

collaborators

5 papers

math.CT2026

Categorical Ambidexterity

Shay Ben-Moshe

We prove an ambidexterity result for $\infty$ -categories of $\infty$ -categories admitting a collection of colimits. This unifies and extends two known phenomena: the identification…

math.CT2025

Uniqueness and $(\infty, 2)$ -Naturality of Yoneda

Shay Ben-Moshe

We show that the Yoneda embedding extends to an $(\infty, 2)$ -natural transformation. Furthermore, as such, it is uniquely determined by its value at the trivial $\infty$ -category.…

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.KT2024

Descent and cyclotomic redshift for chromatically localized algebraic K-theory

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

We prove that $T (n + 1)$ -localized algebraic $K$ -theory satisfies descent for $I ¨ $ -finite $p$ -group actions on stable $\infty$ -categories of chromatic height up to $n$ , extending a r…

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…

Categorical Ambidexterity

Uniqueness and (∞,2)-Naturality of Yoneda

Chromatic Higher Semiadditivity by Height Induction

Descent and cyclotomic redshift for chromatically localized algebraic K-theory

Higher Semiadditivity in Transchromatic Homotopy Theory

Uniqueness and $(\infty, 2)$ -Naturality of Yoneda