157 citations · 749 across the 30 of their papers we have counts for
32 papers
Norms for compact Lie groups in equivariant stable homotopy theory
Andrew J. Blumberg, Michael A. Hill, Michael A. Mandell
We propose a construction of an analogue of the Hill-Hopkins-Ravenel relative norm in the context of a positive dimensional compact Lie group and closed subgroup $H…
Chromatic convergence for the algebraic K-theory of the sphere spectrum
Andrew J. Blumberg, Michael A. Mandell, Allen Yuan
We show that the map from to its chromatic completion is a connective cover and identify the fiber in -theoretic terms. We combine this with recent work of Land…
A version of Waldhausen's chromatic convergence for
Andrew J. Blumberg, Michael A. Mandell, Allen Yuan
The map is a weak equivalence.
The eigensplitting of the fiber of the cyclotomic trace for the sphere spectrum
Andrew J. Blumberg, Michael A. Mandell
Let be an odd prime. We show that the fiber sequence for the cyclotomic trace of the sphere spectrum admits an "eigensplitting" that generalizes known…
MREC: a fast and versatile framework for aligning and matching point clouds with applications to single cell molecular data
Andrew J. Blumberg, Mathieu Carriere, Michael A. Mandell +2
Comparing and aligning large datasets is a pervasive problem occurring across many different knowledge domains. We introduce and study MREC, a recursive decomposition algorithm for…
Operads and Operadic Algebras in Homotopy Theory
Michael A. Mandell
This is an expository article about operads in homotopy theory written as a chapter for an upcoming book. It concentrates on what the author views as the basic topics in the homoto…