124 citations · 833 across the 51 of their papers we have counts for
57 papers
The homotopy theory of cyclotomic spectra, 10 years later
Andrew J. Blumberg, Michael A. Mandell
This paper studies the foundations of the geometric fixed point functor in multiplicative equivariant stable homotopy theory. We introduce a new class of equivariant orthogonal spe…
Foundation of Floer homotopy theory I: Flow categories
Mohammed Abouzaid, Andrew J. Blumberg
We construct a stable infinity category with objects flow categories and morphisms flow bimodules; our construction has many flavors, related to a choice of bordism theory, and we…
Relative cyclotomic structures and equivariant complex cobordism
Andrew J. Blumberg, Michael A. Mandell, Allen Yuan
We describe a structure on a commutative ring (pre)cyclotomic spectrum that gives rise to a (pre)cyclotomic structure on topological Hochschild homology () relative to its…
An Intrinsic Approach to Scalar-Curvature Estimation for Point Clouds
Abigail Hickok, Andrew J. Blumberg
We introduce an intrinsic estimator for the scalar curvature of a data set presented as a finite metric space. Our estimator depends only on the metric structure of the data and no…
A Framework for Fast and Stable Representations of Multiparameter Persistent Homology Decompositions
David Loiseaux, Mathieu Carrière, Andrew J. Blumberg
Topological data analysis (TDA) is an area of data science that focuses on using invariants from algebraic topology to provide multiscale shape descriptors for geometric data sets…
A statistical framework for analyzing shape in a time series of random geometric objects
Anne van Delft, Andrew J. Blumberg
We introduce a new framework to analyze shape descriptors that capture the geometric features of an ensemble of point clouds. At the core of our approach is the point of view that…