13 citations · 61 across the 20 of their papers we have counts for
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Derived plethystic algebra
Benjamin Antieau, Edith Hübner, Dmitry Kubrak +1
We prove comparison results about -categories of derived commutative rings with extra algebraic structure. For example, we show that several notions of derived -rings ag…
Modeling -categories with Segal spaces
Lyne Moser, Joost Nuiten
In this paper, we construct a model structure for -categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show t…
Lie algebroids are curved Lie algebras
Damien Calaque, Ricardo Campos, Joost Nuiten
We show that there is an equivalence of -categories between Lie algebroids and certain kinds of curved Lie algebras. For this we develop a method to study the -cate…
On k-invariants for -categories
Yonatan Harpaz, Joost Nuiten, Matan Prasma
Every -category can be approximated by its tower of homotopy -categories. In this paper, we prove that the successive stages of this tower are classified by k-…
Moduli problems for operadic algebras
Damien Calaque, Ricardo Campos, Joost Nuiten
A theorem of Pridham and Lurie provides an equivalence between formal moduli problems and Lie algebras in characteristic zero. We prove a generalization of this correspondence, rel…
An extension of Quillen's Theorem B
Ieke Moerdijk, Joost Nuiten
We prove a general version of Quillen's Theorem B, for actions of simplicial categories, in an arbitrary left Bousfield localization of the homotopy theory of simplicial presheaves…
Quillen cohomology of -categories
Yonatan Harpaz, Joost Nuiten, Matan Prasma
In this paper we study the homotopy theory of parameterized spectrum objects in the -category of -categories, as well as the Quillen cohomology of an $(\infty,…
The tangent bundle of a model category
Yonatan Harpaz, Joost Nuiten, Matan Prasma
This paper studies the homotopy theory of parameterized spectrum objects in a model category from a global point of view. More precisely, for a model category satisfy…
Koszul duality for Lie algebroids
Joost Nuiten
This paper studies the role of dg-Lie algebroids in derived deformation theory. More precisely, we provide an equivalence between the homotopy theories of formal moduli problems an…
Homotopical algebra for Lie algebroids
Joost Nuiten
We construct Quillen equivalent semi-model structures on the categories of dg-Lie algebroids and -algebroids over a commutative dg-algebra in characteristic zero. This al…
Localizing infinity-categories with hypercovers
Joost Nuiten
Given an -category with a set of weak equivalences which is stable under pullback, we show that the mapping spaces of the corresponding localization can be described as gro…
The abstract cotangent complex and Quillen cohomology of enriched categories
Yonatan Harpaz, Joost Nuiten, Matan Prasma
In his fundamental work, Quillen developed the theory of the cotangent complex as a universal abelian derived invariant, and used it to define and study a canonical form of cohomol…
Tangent categories of algebras over operads
Yonatan Harpaz, Joost Nuiten, Matan Prasma
Associated to a presentable -category and an object is the tangent -category , consisting of parameteriz…
Minimal fibrations of dendroidal sets
Ieke Moerdijk, Joost Nuiten
We prove the existence of minimal models for fibrations between dendroidal sets in the model structure for infinity-operads, as well as in the covariant model structure for algebra…