publications

2025

  1. A multiplicative version of the tom Dieck splitting
    Andrew J. Blumberg and Michael A. Mandell
    arXiv, 2025
  2. Recovering manifold structure using Ollivier Ricci curvature
    Tristran L. Saidi , Abigail Hickok , and Andrew J. Blumberg
    In ICLR , 2025

2024

  1. Resampling and averaging coordinates on data
    Andrew J. Blumberg , Mathieu Carrière , Jun Hou Fung , and 1 more author
    arXiv, 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
    arXiv, 2024
  5. Measures determined by their values on balls and Gromov-Wasserstein convergence
    Anne Delft and Andrew J. Blumberg
    arXiv, 2024
  6. Automated Cell Type Annotation with Reference Cluster Mapping
    Valerio Galanti , Lingting Shi , Elham Azizi , and 2 more authors
    bioRxiv, 2024
  7. Subsampling, aligning, and averaging to find circular coordinates in recurrent time series
    Andrew J. Blumberg , Mathieu Carrière , Jun Hou Fung , and 1 more author
    arXiv, 2024
  8. The homotopy theory of cyclotomic spectra, 10 years later
    Andrew J. Blumberg and Michael A. Mandell
    arXiv, 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 NeurIPS , 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
    arXiv, 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
  2. Defending against Malicious Peripherals with Cinch
    Sebastian Angel , Riad S. Wahby , Max Howald , and 5 more authors
    In 25th USENIX Security Symposium, USENIX Security 16, Austin, TX, USA, August 10-12, 2016 , 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. Robust Statistics, Hypothesis Testing, and Confidence Intervals for Persistent Homology on Metric Measure Spaces
    Andrew J. Blumberg , Itamar Gal , Michael A. Mandell , and 1 more author
    Found. Comput. Math., 2014
  3. Uniqueness of the multiplicative cyclotomic trace
    Andrew J. Blumberg , David Gepner , and Gonçalo Tabuada
    Adv. Math., 2014
  4. 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
  2. Quantitative Homotopy Theory in Topological Data Analysis
    Andrew J. Blumberg and Michael A. Mandell
    Found. Comput. Math., 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

2007

  1. A discrete model of S^1-homotopy theory
    Andrew J. Blumberg
    J. Pure Appl. Algebra, 2007

2006

  1. Continuous functors as a model for the equivariant stable homotopy category
    Andrew J. Blumberg
    Algebr. Geom. Topol., 2006

1999

  1. Parallel computation on a DNA substrate
    Andrew J. Blumberg
    In DNA based computers III (Philadelphia, PA, 1997) , 1999