Florian Riedel

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20232026

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math.AT2026

The invariant cell number property for $E_{4}$ -rings

Anish Chedalavada, Florian Riedel

For any non-zero $E_{4}$ -ring $R$ , we prove that an $n$ -fold direct sum of suspensions of $R$ cannot admit an exhaustive filtration by fewer than $n$ cells. We do this by sh…

math.AT2025

Nilpotence phenomena over $E_{\infty}$ -rings in positive characteristic

Florian Riedel

We study the behavior of nilpotent classes in $E_{\infty}$ -rings over finite fields. In characteristic $p = 2$ , we show that any nilpotent class can be killed by a nilpotence…

math.AT2023

On the deformation theory of $E_{\infty}$ -coalgebras

Florian Riedel

We introduce a notion of formally étale $E_{\infty}$ -coalgebras and show that they admit essentially unique, functorial lifts along square zero extensions of $\mathbb{E}_{…

The invariant cell number property for E4​-rings

Nilpotence phenomena over E∞​-rings in positive characteristic

On the deformation theory of E∞​-coalgebras

The invariant cell number property for $E_{4}$ -rings

Nilpotence phenomena over $E_{\infty}$ -rings in positive characteristic

On the deformation theory of $E_{\infty}$ -coalgebras