**Associate professor of mathematics, University of Texas at Austin**

(blumberg(at)math.utexas.edu)

Title | Link |
---|---|

The strong Kunneth theorem for topological periodic cyclic homologyjoint with Michael Mandell |
arxiv |

Incomplete Tambara functorsjoint with Michael Hill Algebraic and Geometric Topology Volume 18 (2018), 723-766.. |
arxiv (published version) |

G-symmetric monoidal categories of modules over equivariant ring spectrajoint with Michael Hill |
arxiv |

Tate-Poitou duality and the fiber of the cyclotomic trace for the sphere spectrumjoint with Michael Mandell |
arxiv |

The homotopy groups of the algebraic K-theory of the sphere spectrum joint with Michael Mandell Geometry and Topology 23 (2019), 101-134. |
arxiv (published version) |

The nilpotence theorem for the algebraic K-theory of the sphere spectrumjoint with Michael Mandell Geometry and Topology 21 (2017), 3453-3466. |
arxiv (published version) |

Relative cyclotomic spectra and topological cyclic homology via the normjoint with Vigleik Angeltveit, Teena Gerhardt, Michael Hill, Tyler Lawson, and Michael Mandell |
arxiv |

Operadic multiplications in equivariant spectra, norms, and transfersjoint with Michael Hill Advances in Mathematics 285 (2015) 658-708. |
arxiv (published version) |

The homotopy theory of cyclotomic spectrajoint with Michael Mandell Geometry and Topology 19 (2015) 3105-3147. |
arxiv (published version) |

K-theory of endomorphisms via noncommutative motivesjoint with David Gepner and Goncalo Tabuada Transactions of the AMS (2015) |
arxiv (published version) |

Homotopical resolutions associated to deformable adjunctionsjoint with Emily Riehl Algebraic and Geometric Topology 14 (2014) 3021-3048. |
arxiv (published version) |

Interpreting the Bokstedt smash product as the normjoint with Vigleik Angeltveit, Teena Gerhardt, Michael Hill, and Tyler Lawson Proceedings of the AMS 144 (2016) 5419-5433. |
arxiv (published version) |

Parametrized spectra, multiplicative Thom spectra, and the twisted Umkehr mapjoint with Matt Ando and David Gepner To appear in Geometry and Topology. |
arxiv |

Localization for THH(ku) and topological Hochschild and cyclic homology of Waldhausen categoriesjoint with Michael Mandell To appear in Memoirs of the AMS. |
arxiv |

Uniqueness of the multiplicative cyclotomic tracejoint with David Gepner and Goncalo Tabuada Advances in Mathematics 260 (2014) 191-232 |
arxiv (published version) |

A universal characterization of higher algebraic K-theoryjoint with David Gepner and Goncalo Tabuada Geometry and Topology 17 (2013) 733–838. |
arxiv (published version) |

Twists of K-theory and TMFjoint with Matt Ando and David Gepner In "Superstrings, Geometry, Topology, and $C^*$-algebras", edited by Robert S. Doran, Greg Friedman, and Jonathan Rosenberg. |
arxiv (Published version not online.) |

Derived Koszul duality and involutions in the algebraic K-theory of spacesjoint with Michael Mandell Journal of Topology 4 (2011) 327-342 |
arxiv (published version) |

Open-closed field theories, string topology, and Hochschild homology joint with Ralph Cohen and Constantin Teleman "Alpine perspectives on algebraic topology", edited by C. Ausoni, K. Hess, and J. Scherer, Contemp. Math. 504 (2009) 53-76 |
arxiv (Published version not online.) |

Units of ring spectra and Thom spectra joint with Matt Ando, David Gepner, Michael Hopkins, and Charles Rezk (split into two papers for submission) Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theoryJournal of Topology 7 (2014) 1077-1117. An infinity-categorical approach to R-line bundles, R-module Thom spectra, and twisted R-homology
Journal of Topology 7 (2014) 869-893. |
arxiv
(published version) (published version) |

Localization theorems in topological Hochschild homology and topological cyclic homology joint with Michael Mandell Geometry and Topology 16 (2012) 1053–1120. |
arxiv (published version) |

Algebraic K-theory and abstract homotopy theoryjoint with Michael Mandell Advances in Mathematics 226 (2011) 3760-3812 |
arxiv (published version) |

The localization sequence for the algebraic K-theory of topological K-theoryjoint with Michael Mandell Acta Mathematica 200 (2008) 155-179. |
arxiv (published version) |

THH of Thom spectra which are E_\infty-ring spectra Journal of Topology 3 (2010) 535-560. |
arxiv (published version) |

THH of Thom spectra and the free loop space joint with Ralph Cohen and Christian Schlichtkrull Geometry and Topology 14 (2010) 1165-1242. |
arxiv (published version) |

Continuous functors as a model of the equivariant stable category Algebraic and Geometric Topology 6 (2006) 2257-2295. |
arxiv (published version) |

A discrete model of S^1-homotopy theory Journal of Pure and Applied Algebra 210 (2007) 29-41. |
arxiv (published version) |