Maxime Ramzi

collaborators

17 papers

math.KT2026

$Mot^{loc}$ is not compactly generated

Maxime Ramzi

We prove that the $\infty$ -category of localizing motives in the sense of Blumberg--Gepner--Tabuada is not compactly generated, extending a result of Efimov.

math.AT2026

The Galois theory of $G$ -spectra and the Burnside ring

Niko Naumann, Luca Pol, Maxime Ramzi

We prove that the Galois groupoid of the category of $G$ -spectra for a finite group $G$ is algebraic, i.e. equivalent to the Ã©tale fundamental groupoid of the Burnside ring of $G$ …

math.KT2026

Chromatic Noshift

Maxime Ramzi

The chromatic redshift philosophy, introduced by Ausoni and Rognes, suggests that algebraic $K$ -theory raises chromatic height by $1$ . We show that the analogue of this philosophy…

math.CT2026

Free rigid commutative algebras

Maxime Ramzi

We describe free rigid commutative algebras in $2$ -presentably symmetric monoidal $(\infty, 2)$ -categories as oplax colimits over the $1$ -dimensional framed cobordism category. The…

math.AT2026

Geometric Points in Tensor Triangular Geometry

Tobias Barthel, Logan Hyslop, Maxime Ramzi

In this paper, we study geometric points in tensor triangular geometry. In doing so, we construct a counter-example to Balmer's Nerves of Steel conjecture using free constructions…

math.KT2026

Equivariant localizing motives and multiplicative norms on algebraic K-theory

Kaif Hilman, Maxime Ramzi

We construct multiplicative norms on equivariant nonconnective algebraic $K$ -theory for finite groups $G$ . We also construct a genuine equivariant version of THH equipped with a De…

Motloc is not compactly generated

The Galois theory of G-spectra and the Burnside ring

Chromatic Noshift

Free rigid commutative algebras

Geometric Points in Tensor Triangular Geometry

Equivariant localizing motives and multiplicative norms on algebraic K-theory

$Mot^{loc}$ is not compactly generated

The Galois theory of $G$ -spectra and the Burnside ring