Maxime Ramzi

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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.AT2025

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…

math.AT2024

A symmetric monoidal fracture square

Niko Naumann, Luca Pol, Maxime Ramzi

Given a symmetric monoidal stable $\infty$ -category $C$ which is rigidly-compactly generated and a set of compact objects $K$ of $C$ , one can form the…

math.AT2020

A multiplicative comparison of MacLane homology and topological Hochschild homology

Geoffroy Horel, Maxime Ramzi

Let $Q$ denote MacLane's $Q$ -construction, and $\otimes$ denote the smash product of spectra. In this paper we construct an equivalence $Q (R) ≃ Z \otimes R$ in the categ…