Maxime Ramzi

activity

20202026

most citedA multiplicative comparison of MacLane homology and topological Hochschild homology

3 citations · 10 across the 24 of their papers we have counts for

collaborators

Showing 2025Show all

7 papers · 1 filter

math.KT2025

$K (1)$ -local $K$ -theory of Azumaya algebras

Maxime Ramzi

We compute certain strict Picard spectra of $K (1)$ -local $K$ -theory spectra of schemes in terms of Brauer groups, using the map that takes an Azumaya algebra to its $K (1)$ -local $K…

math.AG2025

Localizing motives of Azumaya algebras

Maxime Ramzi

We prove that the natural map from the derived Brauer group of a qcqs scheme $X$ to the Picard group of $X$ -linear motives is injective, extending results of Tabuada and Tabuada-Va…

math.KT2025

$p$ -perfection and group completion of $E_{\infty}$ -monoids

Maxime Ramzi, Maria Yakerson

We study $E_{\infty}$ -monoids on which a prime $p$ acts invertibly, which we call $p$ -perfect, in the non-group-complete situation. In particular, we prove that in many exam…

math.KT2025

Every motive is the motive of a stable $\infty$ -category

Maxime Ramzi, Vladimir Sosnilo, Christoph Winges

We define a class of motivic equivalences of small stable $\infty$ -categories $W_{mot}$ and show that the Dwyer--Kan localization functor $\mathrm{Cat}^{\mathrm{perf}}_\in…

math.AT2025

On endomorphisms of topological Hochschild homology

Maxime Ramzi

We compute endomorphisms of topological Hochschild homology ( $THH$ ) as a functor on stable $\infty$ -categories, as well as variants thereof: we also compute endomorphisms…

math.CT2025

Fully faithful functors and pushouts of $\infty$ -categories

Peter J. Haine, Maxime Ramzi, Jan Steinebrunner

We study stability properties of fully faithful functors, and compute mapping anima in pushouts of $\infty$ -categories along fully faithful functors. We provide applications of the…

math.AT2025★ 1 cited

Universality of Barwick's unfurling construction

Bastiaan Cnossen, Tobias Lenz, Maxime Ramzi

Given an $\infty$ -category $C$ with pullbacks, its $(\infty, 2)$ -category $Span (C)$ of spans has the universal property of freely adding right adjoints…

K(1)-local K-theory of Azumaya algebras

Localizing motives of Azumaya algebras

p-perfection and group completion of E∞​-monoids

Every motive is the motive of a stable ∞-category

On endomorphisms of topological Hochschild homology

Fully faithful functors and pushouts of ∞-categories

Universality of Barwick's unfurling construction

$K (1)$ -local $K$ -theory of Azumaya algebras

$p$ -perfection and group completion of $E_{\infty}$ -monoids

Every motive is the motive of a stable $\infty$ -category

Fully faithful functors and pushouts of $\infty$ -categories