Hadrian Heine

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20242026

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math.AT2025

A derived Milnor-Moore theorem

Hadrian Heine

For every stable presentably symmetric monoidal $\infty$ -category $C$ we use the Koszul duality between the spectral Lie operad and the cocommutative cooperad to construc…

math.AT2025

A local-global principle for parametrized $\infty$ -categories

Hadrian Heine

We prove a local-global principle for $\infty$ -categories over any base $\infty$ -category $C$ : we show that any $\infty$ -category $B \to C$ over $\mat…

math.AT2024

A topological model for cellular motivic spectra

Hadrian Heine

For any motivic $E_{\infty}$ -ring spectrum $A$ we construct an equivalence $I ¨ $ between the $\infty$ -category of cellular motivic $A$ -module spectra and modules over an $\ma…

A derived Milnor-Moore theorem

A local-global principle for parametrized ∞-categories

A topological model for cellular motivic spectra

A local-global principle for parametrized $\infty$ -categories