Michael A. Mandell
Publications
- Andrew J. Blumberg, Michael A. Mandell, Allen Yuan.
A version of Waldhausen's chromatic convergence for TC.
Bull. Lond. Math. Soc. 55 (2023), no. 2, 945-960.
Review.
Article.
- Andrew J. Blumberg, Michael A. Mandell.
The eigensplitting of the fiber of the cyclotomic trace for
the sphere spectrum.
Trans. Amer. Math. Soc. 376 (2023), no. 4, 2853-2874.
Review.
Article.
- Michael A. Mandell.
Operads and Operadic Algebras in Homotopy Theory.
in Stable categories and structured ring spectra,
Math. Sci. Res. Inst. Publ., vol. 69, Cambridge Univ. Press, Cambridge, 2022,
183--247.
- Andrew J. Blumberg and Michael A. Mandell.
K-theoretic Tate-Poitou duality and the fiber of the cyclotomic trace.
Invent. Math. 221 (2020), no. 2, 397-419.
Review.
Article.
- Andrew J. Blumberg and Michael A. Mandell.
Localization for THH(ku) and the topological Hochschild and cyclic homology of Waldhausen categories.
Mem. Amer. Math. Soc. 265 (2020), no. 1286, v+100 pp.
Review.
Article.
- Andrew J. Blumberg and Michael A. Mandell.
The homotopy groups of the algebraic K-theory of the sphere spectrum.
Geometry & Topology 23 (2019), 101-134.
Review.
Article.
- Andrew J. Blumberg and Michael A. Mandell.
E2 structures and derived Koszul duality in string topology.
Algebraic & Geometric Topology 19 (2019), 239-279.
Review.
Article.
- V. Angeltveit, A. Blumberg, T. Gerhardt, M. Hill, T. Lawson, M. Mandell.
Relative cyclotomic spectra and topological cyclic homology via the norm.
Doc. Math. 23 (2018), 2101-2163.
Review.
Article.
- Andrew J. Blumberg and Michael A. Mandell.
The nilpotence theorem for the algebraic K-theory of the sphere spectrum.
Geom. & Top. 21 (2017), 3453-3466.
Review.
Article.
- Steven Greg Chadwick and Michael A. Mandell.
En Genera.
Geom. & Top. 19 (2015), no. 6, 3193-3232.
Review.
Article.
- Andrew J. Blumberg and Michael A. Mandell.
The homotopy theory of cyclotomic spectra.
Geom. & Top. 19 (2015), no. 6, 3105-3147.
Review.
Article.
- Andrew J. Blumberg, Itamar Gal, Michael A. Mandell, Mathiew Pancia.
Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces.
Found. Comput. Math. 14 (2014), no. 4, 745-789.
Review.
Article.
- Andrew J. Blumberg and Michael A. Mandell.
Quantitative homotopy theory in topological data analysis.
Found. Comput. Math. 13 (2013), no. 6, 885-911.
Review.
Article.
- Maria Basterra and Michael A. Mandell.
The Multiplication on BP.
J. Topology 6 (2013), no. 2, 285-310.
Review.
Article*.
- Andrew J. Blumberg and Michael A. Mandell.
Localization theorems in topological Hochschild homology and topological cyclic homology.
Geom. Topol. 16 (2012), no. 2, 1053-1120.
Review.
Article.
- Michael A. Mandell.
The smash product for derived categories in stable homotopy theory.
Adv. Math. 230 (2012), no. 4-6, 1531-1556.
Review.
Article.
- Andrew J. Blumberg and Michael A. Mandell.
Derived Koszul Duality and Involutions in the Algebraic K-Theory of Spaces.
J. Topology 4 (2011), no. 2, 327-342.
Review.
Article*.
- Maria Basterra and Michael A. Mandell.
Homology of En Ring Spectra and Iterated THH.
Algebraic & Geometric Topology 11 (2011), 939-981.
Review.
Article.
- Andrew J. Blumberg and Michael A. Mandell.
Algebraic K-Theory and Abstract Homotopy Theory.
Advances in Mathematics 226 (2011), no. 4, 3760-3812.
Review.
Article.
- Michael A. Mandell.
An Inverse K-Theory Functor.
Documenta Math. 15 (2010), 765-791.
Review.
Article*.
- A. D. Elmendorf and M. A. Mandell.
Permutative Categories, Multicategories, and Algebraic K-Theory.
Alg. & Geom. Top. 9 (2009), no. 4, 2391-2441.
Review.
Article.
- Andrew J. Blumberg and Michael A. Mandell.
The Localization Sequence for the Algebraic K-Theory of
Topological K-Theory.
Acta Math. 200 (2008), no. 2, 155-179.
Review.
Article.
- L. Gaunce Lewis, Jr. and Michael A. Mandell.
Modules in Monoidal Model Categories.
J. Pure Appl. Algebra 210 (2007), no. 2, 395-421.
Review.
Article.
- Michael A. Mandell.
Cochains and Homotopy Type.
Publ. Math. IHES, 103 (2006), 213-246.
Review.
Article.
- A. D. Elmendorf and M. A. Mandell.
Rings, Modules, and Algebras in Infinite Loop Space Theory.
Advances in Mathematics 205 (2006), no. 1, 163-228.
Review.
Article.
- L. G. Lewis, Jr. and M. A. Mandell.
Equivariant Universal Coefficient and Kunneth Spectral Sequences.
Proc. London Math. Soc. (3) 92 (2006), no. 2, 505-544.
Review.
Article.
- Maria Basterra and Michael A. Mandell.
Homology and Cohomology of E-infinity Ring Spectra.
Math. Z. 249 (2005), no. 4, 903-944.
Review.
Article.
- A. D. Elmendorf and M. A. Mandell.
Permutative Categories as a Model of Connective Stable Homotopy.
in Structured Ring Spectra, 19-32.
London Math. Soc. Lecture Note Ser., 315
Cambridge University Press, 2004.
Review.
- Michael A. Mandell.
Equivariant Symmetric Spectra.
in Proceedings of the Northwestern University Algebraic Topology Conference,
Contemporary Mathematics, vol 346 (2004), 399-452.
Review.
Preprint.
- Michael A. Mandell.
Topological Andre-Quillen Cohomology and E-infinity
Andre-Quillen Cohomology.
Advances in Mathematics 177 (2003), no. 2, 227-279.
Review.
Article.
- Michael A. Mandell.
Cochain Multiplications.
Amer. J. Math. 124 (2002), no. 3, 547-566.
Review.
Article.
- Michael A. Mandell and Laura Scull.
Algebraic Models for Equivariant Homotopy Theory over Compact
Abelian Lie Groups.
Math. Z. 240 (2002), no. 2, 261-287.
Review.
Article.
- M. A. Mandell and J. P. May.
Equivariant Orthogonal Spectra and S-Modules.
Mem. Amer. Math. Soc. 159 (2002), no. 755, x+108
Review.
Preprint.
- Michael A. Mandell.
Equivariant p-adic Homotopy Theory.
Topology Appl. 122 (2002), no. 3, 637-651.
Review.
Article.
- M. A. Mandell and B. Shipley.
A Telescope Comparison Lemma for THH.
Topology Appl. 117 (2002), no. 2, 161-174.
Review.
Article.
- M. A. Mandell, J. P. May, B. Shipley, and S. Schwede.
Model Categories of Diagram Spectra.
Proc. London Math. Soc. (3) 82 (2001), no. 2, 441-512.
Review.
Article.
- Michael A. Mandell.
Flatness for the E-infinity Tensor Product.
in Homotopy Methods in Algebraic Topology,
Contemporary Mathematics, vol. 271 (2001), 285-310.
Review.
Preprint.
- Michael A. Mandell.
E-infinity Algebras and p-Adic Homotopy Theory.
Topology 40 (2001), no. 1, 43-94.
Review.
Article*.
- Michael A. Mandell.
Equivalence of Simplicial Localizations of Closed Model Categories.
J. Pure Appl. Algebra 142 (1999), no. 2, 131-152.
Review.
Article.
- A. D. Elmendorf, I. Kriz, M. A. Mandell, and J. P. May
Rings, Modules, and Algebras in Stable Homotopy Theory.
Mathematical Surveys and Monographs, vol. 47.
American Mathematical Society, 1997.
Review.
- A. D. Elmendorf, I. Kriz, M. A. Mandell, and J. P. May.
Modern Foundations for Stable Homotopy Theory.
in Handbook of Algebraic Topology, 213-253.
Review.
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