Assistant professor of mathematics, University of Texas at Austin
(blumberg(at)math.utexas.edu)
| Title | Link |
|---|---|
| A discrete model of S^1-homotopy theory Journal of Pure and Applied Algebra 210 (2007) 29-41. |
arxiv (published version) |
| Continuous functors as a model of the equivariant stable category Algebraic and Geometric Topology 6 (2006) 2257-2295. |
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) |
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THH of Thom spectra which are E_\infty-ring spectra Journal of Topology 3 (2010) 535-560. |
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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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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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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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 and orientations via structured ring spectra To appear in the Journal of Topology. Parametrized spectra, units, and Thom spectra via infinity categories To appear in the Journal of Topology. |
arxiv
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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 |
|
Derived Koszul duality and involutions in the algebraic K-theory of spaces joint with Michael Mandell Journal of Topology (2011). |
arxiv (published version) |
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A universal characterization of higher algebraic K-theory joint with David Gepner and Goncalo Tabuada To appear in Geometry and Topology. |
arxiv |
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Twists of K-theory and TMF joint with Matt Ando and David Gepner To appear in "Superstrings, Geometry, Topology, and $C^*$-algebras", edited by Robert S. Doran, Greg Friedman, and Jonathan Rosenberg. |
arxiv |
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Uniqueness of the multiplicative cyclotomic trace joint with David Gepner and Goncalo Tabuada |
arxiv |
|
Localization for THH(ku) and topological Hochschild and cyclic homology of Waldhausen categories joint with Michael Mandell |
arxiv |
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Parametrized spectra, multiplicative Thom spectra, and the twisted Umkehr map joint with Matt Ando and David Gepner |
arxiv |