• Publications
  • Influence
Algebraic K-theory
The idea will be to associate to a ring R a set of algebraic invariants, Ki(R), called the K-groups of R. We can even do a little better than that: we will associated an (infinite loop) space K(R) toExpand
The η-local motivic sphere
We compute the h1-localized cohomology of the motivic Steenrod algebra over C. This serves as the input to an Adams spectral sequence that computes the motivic stable homotopy groups of the η-localExpand
MODELS OF G-SPECTRA AS PRESHEAVES OF SPECTRA
Let G be a finite group. We give Quillen equivalent models for the category of G-spectra as categories of spectrally enriched functors from ex- plicitly described domain categories to nonequivariantExpand
Asymptotic Properties of Zeros of Hypergeometric Polynomials
TLDR
A direct proof is supplied which generalizes the result of Borwein and Chen on hypergeometric polynomials to arbitrary k>0, while showing that every point of the curve is a cluster point of zeros. Expand
STRICTIFICATION OF CATEGORIES WEAKLY ENRICHED IN SYMMETRIC MONOIDAL CATEGORIES
We show that categories weakly enriched over symmetric monoidal cate- gories can be strictied to categories enriched in permutative categories. This is a \many 0-cells" version of the stricticationExpand
ENRICHED MODEL CATEGORIES AND PRESHEAF CATEGORIES
We collect in one place a variety of known and folklore results in enriched model category theory and add a few new twists. The central theme is a general procedure for constructing a QuillenExpand
Equivariant iterated loop space theory and permutative G–categories
We set up operadic foundations for equivariant iterated loop space theory. We start by building up from a discussion of the approximation theorem and recognition principle for V-fold loop G-spaces toExpand
The motivic fundamental group of the punctured projective line
We describe a construction of an object associated to the fundamental group of the projective line minus three points in the Bloch-Kriz category of mixed Tate motives. This description involvesExpand
The η–inverted ℝ–motivic sphere
We use an Adams spectral sequence to calculate the R-motivic stable homotopy groups after inverting eta. The first step is to apply a Bockstein spectral sequence in order to obtain h_1-invertedExpand
A SHORT NOTE ON MODELS FOR EQUIVARIANT HOMOTOPY THEORY
These notes explore equivariant homotopy theory from the perspective of model categories in the case of a discrete group G. Section 2 reviews the situation for topological spaces, largely followingExpand
...
1
2
3
4
...