Associate professor of mathematics, University of Texas at Austin
(blumberg(at)math.utexas.edu)
| Title | Link |
|---|---|
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The strong Kunneth theorem for topological periodic cyclic homology joint with Michael Mandell |
arxiv |
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Incomplete Tambara functors joint with Michael Hill Algebraic and Geometric Topology Volume 18 (2018), 723-766.. |
arxiv (published version) |
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G-symmetric monoidal categories of modules over equivariant ring spectra joint with Michael Hill |
arxiv |
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Tate-Poitou duality and the fiber of the cyclotomic trace for the sphere spectrum joint with Michael Mandell |
arxiv |
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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) |
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The nilpotence theorem for the algebraic K-theory of the sphere spectrum joint with Michael Mandell Geometry and Topology 21 (2017), 3453-3466. |
arxiv (published version) |
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Relative cyclotomic spectra and topological cyclic homology via the norm joint with Vigleik Angeltveit, Teena Gerhardt, Michael Hill, Tyler Lawson, and Michael Mandell |
arxiv |
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Operadic multiplications in equivariant spectra, norms, and transfers joint with Michael Hill Advances in Mathematics 285 (2015) 658-708. |
arxiv (published version) |
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The homotopy theory of cyclotomic spectra joint with Michael Mandell Geometry and Topology 19 (2015) 3105-3147. |
arxiv (published version) |
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K-theory of endomorphisms via noncommutative motives joint with David Gepner and Goncalo Tabuada Transactions of the AMS (2015) |
arxiv (published version) |
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Homotopical resolutions associated to deformable adjunctions joint with Emily Riehl Algebraic and Geometric Topology 14 (2014) 3021-3048. |
arxiv (published version) |
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Interpreting the Bokstedt smash product as the norm joint with Vigleik Angeltveit, Teena Gerhardt, Michael Hill, and Tyler Lawson Proceedings of the AMS 144 (2016) 5419-5433. |
arxiv (published version) |
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Parametrized spectra, multiplicative Thom spectra, and the twisted Umkehr map joint with Matt Ando and David Gepner To appear in Geometry and Topology. |
arxiv |
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Localization for THH(ku) and topological Hochschild and cyclic homology of Waldhausen categories joint with Michael Mandell To appear in Memoirs of the AMS. |
arxiv |
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Uniqueness of the multiplicative cyclotomic trace joint with David Gepner and Goncalo Tabuada Advances in Mathematics 260 (2014) 191-232 |
arxiv (published version) |
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A universal characterization of higher algebraic K-theory joint with David Gepner and Goncalo Tabuada Geometry and Topology 17 (2013) 733–838. |
arxiv (published version) |
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Twists of K-theory and TMF joint 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.) |
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Derived Koszul duality and involutions in the algebraic K-theory of spaces joint with Michael Mandell Journal of Topology 4 (2011) 327-342 |
arxiv (published version) |
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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.) |
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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 theory Journal 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) |
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Localization theorems in topological Hochschild homology and topological cyclic homology joint with Michael Mandell Geometry and Topology 16 (2012) 1053–1120. |
arxiv (published version) |
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Algebraic K-theory and abstract homotopy theory joint with Michael Mandell Advances in Mathematics 226 (2011) 3760-3812 |
arxiv (published version) |
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The localization sequence for the algebraic K-theory of topological K-theory joint with Michael Mandell Acta Mathematica 200 (2008) 155-179. |
arxiv (published version) |
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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) |