41 Publications (Page 1 of 2)
2020
K-theoretic Tate–Poitou duality and the fiber of the cyclotomic traceBlumberg, Andrew J and Mandell, Michael AInventiones mathematicae, 2020-02-04.
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Localization for ( ) and the Topological Hochschild and Cyclic Homology of Waldhausen CategoriesBlumberg, Andrew and Mandell, MichaelMemoirs of the American Mathematical Society, vol. 265, (no. 1286), 2020-05-00.
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2019
E2 structures and derived Koszul duality in string topologyBlumberg, Andrew and Mandell, MichaelAlgebraic & Geometric Topology, vol. 19, (no. 1), pp. 279, 2019-02-06.
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Operads and Operadic Algebras in Homotopy TheoryMandell, Michael A2019-12-30.
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The homotopy groups of the algebraic K–theory of the sphere spectrumBlumberg, Andrew and Mandell, MichaelGeometry & Topology, vol. 23, (no. 1), pp. 134, 2019-03-05.
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2018
E_{2}$ Structures and Derived Koszul Duality in String TopologyBlumberg, Andrew J and Mandell, Michael A2018-01-10.
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2017
The nilpotence theorem for the algebraic K–theory of the sphere spectrumBlumberg, Andrew and Mandell, MichaelGeometry & Topology, vol. 21, (no. 6), pp. 3466, 2017-08-31.
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The strong K\"unneth theorem for topological periodic cyclic homologyBlumberg, Andrew J and Mandell, Michael A2017-06-21.
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2016
EngeneraChadwick, Steven Greg and Mandell, Michael AGeometry & Topology, vol. 19, (no. 6), pp. 3232, 2016-01-06.
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The homotopy theory of cyclotomic spectraBlumberg, Andrew J and Mandell, Michael AGeometry & Topology, vol. 19, (no. 6), pp. 3147, 2016-01-06.
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2015
K-theoretic Tate-Poitou duality and the fiber of the cyclotomic traceBlumberg, Andrew J and Mandell, Michael A2015-07-31.
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The fiber of the cyclotomic trace for the sphere spectrumBlumberg, Andrew J and Mandell, Michael A2015-07-31.
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2014
Robust Statistics, Hypothesis Testing, and Confidence Intervals for Persistent Homology on Metric Measure SpacesBlumberg, Andrew⋅Gal, Itamar⋅Mandell, Michael and Pancia, MatthewFoundations of Computational Mathematics, vol. 14, (no. 4), pp. 789, 20140800.
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The homotopy groups of the algebraic K-theory of the sphere spectrumBlumberg, Andrew J and Mandell, Michael A2014-08-01.
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2013
Quantitative homotopy theory in topological data analysisBlumberg, Andrew and Mandell, MichaelFoundations of Computational Mathematics, vol. 13, (no. 6), pp. 885, 20131201.
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The multiplication on BPBasterra, Maria and Mandell, Michael AJournal of Topology, vol. 6, (no. 2), pp. 310, June 2013.
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2012
Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spacesBlumberg, Andrew J⋅Gal, Itamar⋅Mandell, Michael A and Pancia, Matthew2012-06-20.
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The smash product for derived categories in stable homotopy theoryMandell, Michael AAdvances in Mathematics, vol. 230, (no. 4-6), pp. 1556, July-August 2012.
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2011
Algebraic K-theory and abstract homotopy theoryBlumberg, Andrew J and Mandell, Michael AAdvances in Mathematics, vol. 226, (no. 4), pp. 3812, 2011.
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Derived Koszul duality and involutions in the algebraic K-theory of spacesBlumberg, Andrew J and Mandell, Michael AJournal of Topology, vol. 4, (no. 2), pp. 342, 20110000.
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Homology of Enring spectra and iterated THHBasterra, Maria and Mandell, Michael AAlgebraic & Geometric Topology, vol. 11, (no. 2), pp. 981, 2011-03-25.
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Localization for THH(ku) and the topological Hochschild and cyclic homology of Waldhausen categoriesBlumberg, Andrew J and Mandell, Michael A2011-11-16.
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2008
The localization sequence for the algebraic K-theory of topological K-theoryBlumberg, Andrew J⋅Blumberg, Andrew⋅Mandell, Michael A and Mandell, MichaelActa Mathematica, vol. 200, (no. 2), pp. 179, 20080600.
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