Professor of mathematics, University of Texas at Austin
(blumberg(at)math.utexas.edu)
| Title | Link |
|---|---|
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Equivariant stable categories for incomplete systems of transfers joint with Michael A. Hill |
arxiv |
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The Witt vectors for Green functors joint with Teena Gerhardt, Michael A. Hill, and Tyler Lawson Journal of Algebra 537 (2019) 197-244. |
arxiv (published version) |
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E2 structures and derived Koszul duality in string topology joint with Michael Mandell Algebraic and Geometric Topology 19 (2019) 239–279. |
arxiv (published version) |
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The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors joint with Michael Hill "Homotopy theory: tools and applications", edited by D.G. Davis, H.-W. Henn, J.F. Jardine, M.W. Johnson, and C. Rezk, Contemp. Math. 729 (2019) 75-92 |
arxiv (Published version not online.) |
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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 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 Tunisian Journal of Mathematics 2 (2020) 237-286. |
arxiv (published version) |
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Tate-Poitou duality and the fiber of the cyclotomic trace for the sphere spectrum joint with Michael Mandell Inventiones Mathematicae 221 (2020) 397-419. |
arxiv (published version) |
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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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Topological cyclic homology via the norm joint with Vigleik Angeltveit, Teena Gerhardt, Michael Hill, Tyler Lawson, and Michael Mandell Documenta Mathematica 23 (2018) 2101-2163. |
arxiv (published version) |
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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) 1435-1465. |
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 Geometry and Topology 22 (2018) 3761-3825. |
arxiv (published version) |
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Localization for THH(ku) and topological Hochschild and cyclic homology of Waldhausen categories joint with Michael Mandell Memoirs of the AMS 265 (2020). |
arxiv (published version) |
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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) |