Florian Riedel

activity

20232026

collaborators

4 papers

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.KT2025

On the K-theory of algebraic tori

Qingyuan Bai, Shachar Carmeli, Branko Juran +1

Given an algebraic torus $T$ over a field $F$ , its lattice of characters $Λ$ gives rise to a topological torus $T (T) = Λ_{R} /Λ$ with a continuous action of the abs…

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 K-theory of algebraic tori

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