We show that the homotopy category of commutative algebra spectra over the Eilenberg–
Mac Lane spectrum of an arbitrary commutative ring R is equivalent to the homotopy …

In this paper, we present an infinity-categorical version of the theory of monoidal categories.
We show that the infinity category of spectra admits an essentially unique monoidal structure …

The simplicial objects in an algebraic category admit an abstract homotopy theory via a
Quillen model category structure. We show that the associated stable homotopy theory is …

Homotopy theory of modules over operadsin symmetric spectra Page 1 Algebraic & Geometric
Topology 9 (2009) 1637–1680 1637 Homotopy theory of modules over operads in symmetric …

Working in the context of symmetric spectra, we describe and study a homotopy completion
tower for algebras and left modules over operads in the category of modules over a …

It is well known that the zeroth stable homotopy group of a genuine equivariant commutative
ring spectrum has multiplicative transfers (norms), making it into a Tambara functor. We …

We show that topological Quillen homology of algebras and modules over operads in
symmetric spectra can be calculated by realizations of simplicial bar constructions. Working …

Consider a commutative simplicial ring B which is an algebra over the rational numbers. We
show that the homotopy theory of simplicial B-modules and the stable homotopy theory of …

We introduce simple models for associative algebras and bimodules in the context of
nonsymmetric∞–operads, and use these to construct an (∞, 2)–category of associative …

We describe the multiplicative structures that arise on categories of equivariant modules
over certain equivariant commutative ring spectra. Building on our previous work on N∞ ring …