Maxime Ramzi

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20242026

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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.CT2026

Locally rigid $\infty$ -categories

Maxime Ramzi

We develop the theory of locally rigid and rigid symmetric monoidal $\infty$ -categories over an arbitrary base $V \in CAlg (Pr^{L})$ . Among other th…

math.CT2026

A monoidal Grothendieck construction for $\infty$ -categories

Maxime Ramzi

We construct a monoidal version of Lurie's un/straightening equivalence. In more detail, for any symmetric monoidal $\infty$ -category $C$ , we endow the $\infty$ -category of…

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.CT2024

Dualizable presentable $\infty$ -categories

Maxime Ramzi

We prove that for any presentably symmetric monoidal $\infty$ -category $V$ , the $\infty$ -category $Mod_{V} (Pr^{L})^{dbl}$ of d…

Free rigid commutative algebras

Locally rigid ∞-categories

A monoidal Grothendieck construction for ∞-categories

Fully faithful functors and pushouts of ∞-categories

Dualizable presentable ∞-categories

Locally rigid $\infty$ -categories

A monoidal Grothendieck construction for $\infty$ -categories

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

Dualizable presentable $\infty$ -categories