publications

2024

  1. Resampling and averaging coordinates on data
    Andrew J. Blumberg , Mathieu Carrière , Jun Hou Fung , and 1 more author
    CoRR, 2024
  2. Statistical estimation of sparsity and efficiency for molecular codes
    Jun Hou Fung , Mathieu Carrière , and Andrew J. Blumberg
    bioRxiv, 2024
  3. Stability of 2-parameter persistent homology
    Andrew J. Blumberg , and Michael Lesnick
    Found. Comput. Math., 2024
  4. Foundation of Floer homotopy theory I: Flow categories
    Mohammed Abouzaid , and Andrew J. Blumberg
    2024
  5. Measures determined by their values on balls and Gromov-Wasserstein convergence
    Anne Delft , and Andrew J. Blumberg
    2024

2023

  1. Universality of the homotopy interleaving distance
    Andrew J. Blumberg , and Michael Lesnick
    Trans. Amer. Math. Soc., 2023
  2. A Framework for Fast and Stable Representations of Multiparameter Persistent Homology Decompositions
    David Loiseaux , Mathieu Carrière , and Andrew J. Blumberg
    In Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, NeurIPS 2023, New Orleans, LA, USA, December 10 - 16, 2023 , 2023
  3. A version of Waldhausen’s chromatic convergence for TC
    Andrew J. Blumberg , Michael A. Mandell , and Allen Yuan
    Bull. Lond. Math. Soc., 2023
  4. The eigensplitting of the fiber of the cyclotomic trace for the sphere spectrum
    Andrew J. Blumberg , and Michael A. Mandell
    Trans. Amer. Math. Soc., 2023

2022

  1. Bi-incomplete Tambara functors
    Andrew J. Blumberg , and Michael A. Hill
    In Equivariant topology and derived algebra , 2022

2021

  1. Arnold Conjecture and Morava K-theory
    Mohammed Abouzaid , and Andrew J. Blumberg
    2021
  2. Equivariant stable categories for incomplete systems of transfers
    Andrew J. Blumberg , and Michael A. Hill
    J. Lond. Math. Soc. (2), 2021

2020

  1. K-theoretic Tate-Poitou duality and the fiber of the cyclotomic trace
    Andrew J. Blumberg , and Michael A. Mandell
    Invent. Math., 2020
  2. Localization for THH(ku) and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
    Andrew Blumberg , and Michael Mandell
    Mem. Amer. Math. Soc., 2020
  3. G-symmetric monoidal categories of modules over equivariant commutative ring spectra
    Andrew J. Blumberg , and Michael A. Hill
    Tunis. J. Math., 2020

2019

  1. The homotopy groups of the algebraic K-theory of the sphere spectrum
    Andrew J. Blumberg , and Michael A. Mandell
    Geom. Topol., 2019
  2. The Witt vectors for Green functors
    Andrew J. Blumberg , Teena Gerhardt , Michael A. Hill , and 1 more author
    J. Algebra, 2019
  3. The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors
    Andrew J. Blumberg , and Michael A. Hill
    In Homotopy theory: tools and applications , 2019

2018

  1. Parametrized spectra, multiplicative Thom spectra and the twisted Umkehr map
    Matthew Ando , Andrew J. Blumberg , and David Gepner
    Geom. Topol., 2018
  2. Topological cyclic homology via the norm
    Vigleik Angeltveit , Andrew J. Blumberg , Teena Gerhardt , and 3 more authors
    Doc. Math., 2018
  3. Topological cyclic homology via the norm
    Vigleik Angeltveit , Andrew J. Blumberg , Teena Gerhardt , and 3 more authors
    Doc. Math., 2018

2017

  1. The nilpotence theorem for the algebraic K-theory of the sphere spectrum
    Andrew J. Blumberg , and Michael A. Mandell
    Geom. Topol., 2017

2016

  1. Interpreting the Bökstedt smash product as the norm
    Vigleik Angeltveit , Andrew J. Blumberg , Teena Gerhardt , and 2 more authors
    Proc. Amer. Math. Soc., 2016

2015

  1. The homotopy theory of cyclotomic spectra
    Andrew J. Blumberg , and Michael A. Mandell
    Geom. Topol., 2015
  2. Operadic multiplications in equivariant spectra, norms, and transfers
    Andrew J. Blumberg , and Michael A. Hill
    Adv. Math., 2015

2014

  1. An ∞-categorical approach to R-line bundles, R-module Thom spectra, and twisted R-homology
    Matthew Ando , Andrew J. Blumberg , David Gepner , and 2 more authors
    J. Topol., 2014
  2. Uniqueness of the multiplicative cyclotomic trace
    Andrew J. Blumberg , David Gepner , and Gonçalo Tabuada
    Adv. Math., 2014
  3. An ∞-categorical approach to R-line bundles, R-module Thom spectra, and twisted R-homology
    Matthew Ando , Andrew J. Blumberg , David Gepner , and 2 more authors
    J. Topol., 2014

2013

  1. A universal characterization of higher algebraic K-theory
    Andrew J. Blumberg , David Gepner , and Gonçalo Tabuada
    Geom. Topol., 2013

2012

  1. Localization theorems in topological Hochschild homology and topological cyclic homology
    Andrew J. Blumberg , and Michael A. Mandell
    Geom. Topol., 2012

2011

  1. Algebraic K-theory and abstract homotopy theory
    Andrew J. Blumberg , and Michael A. Mandell
    Adv. Math., 2011
  2. Derived Koszul duality and involutions in the algebraic K-theory of spaces
    Andrew J. Blumberg , and Michael A. Mandell
    J. Topol., 2011

2010

  1. Topological Hochschild homology of Thom spectra and the free loop space
    Andrew J. Blumberg , Ralph L. Cohen , and Christian Schlichtkrull
    Geom. Topol., 2010
  2. Topological Hochschild homology of Thom spectra and the free loop space
    Andrew J. Blumberg , Ralph L. Cohen , and Christian Schlichtkrull
    Geom. Topol., 2010

2009

  1. Open-closed field theories, string topology, and Hochschild homology
    Andrew J. Blumberg , Ralph L. Cohen , and Constantin Teleman
    In Alpine perspectives on algebraic topology , 2009

2008

  1. The localization sequence for the algebraic K-theory of topological K-theory
    Andrew J. Blumberg , and Michael A. Mandell
    Acta Math., 2008