Phil Pützstück

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20212026

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math.AT2026

Tensor Nilpotence and the Size of the Bousfield Lattice

Phil Pützstück

For each prime $p$ and integer $n \geq 1$ , we construct a $p$ -local spectrum $X_{n}$ with $X_{n}^{\otimes n} \neq ≃ 0$ but $X_{n}^{\otimes (n + 1)} ≃ 0$ . This refutes the retract…

math.AT2025

Norms in equivariant homotopy theory

Tobias Lenz, Sil Linskens, Phil Pützstück

We show that the $\infty$ -category of normed algebras in genuine $G$ -spectra, as introduced by Bachmann-Hoyois, is modelled by strictly commutative algebras in $G$ -symmetric spectr…