We construct Quillen equivalences between the model categories of monoids (rings),
modules and algebras over two Quillen equivalent model categories under certain …

The author introduces the notion of a Galois extension of commutative $ S $-algebras ($
E_\infty $ ring spectra), often localized with respect to a fixed homology theory. There are …

We show that the homotopy theory of differential graded algebras coincides with the
homotopy theory of HZ-algebra spectra. Namely, we construct Quillen equivalences …

We extend the theory of Thom spectra and the associated obstruction theory for orientations
in order to support the construction of the string orientation of, the spectrum of topological …

Working in the context of symmetric spectra, we consider algebraic structures that can be
described as algebras over an operad O. Topological Quillen homology, or TQ-homology, is …

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 …

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 document we make good on all the assertions we made in the previous paper “Moduli
spaces of commutative ring spectra”[20] wherein we laid out a theory a moduli spaces and …

We develop a simple theory of André–Quillen cohomology for commutative differential
graded algebras over a field of characteristic zero. We then relate it to the homotopy groups …

Given a filtration of a commutative monoid A in a symmetric monoidal stable model category
C, we construct a spectral sequence analogous to the May spectral sequence whose input is …