James Pascaleff

collaborators

3 papers

math.AG2026

Higher Koszul duality and $n$ -affineness

James Pascaleff, Emanuele Pavia, NicolÃ² Sibilla

In this paper we study $E_{n}$ -Koszul duality in the topological setting, and the closely related question of \emph{ $n$ -affineness} for Betti stacks. The $E_{n}$ -Kosz…

math.SG2025

Speculations on higher Fukaya categories

James Pascaleff, NicolÃ² Sibilla

We investigate a possible theory of higher Fukaya categories associated to $n$ -shifted symplectic stacks, where $n \geq 0$ . We consider two paradigmatic cases, the shifted cotangen…

math.AT2025

Higher local systems and the categorified monodromy equivalence

James Pascaleff, Emanuele Pavia, NicolÃ² Sibilla

We study local systems of $(\infty, n)$ -categories on spaces. We prove that categorical local systems are captured by (higher) monodromy data: in particular, if $X$ is $(n + 1)$ -conne…

Higher Koszul duality and n-affineness

Speculations on higher Fukaya categories

Higher local systems and the categorified monodromy equivalence

Higher Koszul duality and $n$ -affineness