books
Stable Categories and Structured Ring Spectra
Edited by Andrew J. Blumberg, Teena Gerhardt, and Michael A. Hill
Cambridge University Press (Mathematical Sciences Research Institute Publications), 2022
This volume presents an accessible account of the state of the art in the theory of structured ring spectra and their applications in algebraic topology and algebraic K-theory.
Topological Data Analysis for Genomics and Evolution
Raúl Rabadán and Andrew J. Blumberg
Cambridge University Press, 2019
This book introduces topological and geometric approaches to the analysis of biological data, focusing on applications to genomics and evolution. It covers persistent homology, Mapper, and other TDA methods, with detailed examples from cancer genomics, viral evolution, and single-cell transcriptomics.