Papers and preprints |
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Filtered spaces, filtered objects »
Preprint |
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Morse homology and equivariance »
Joint with Erkao Bao Preprint |
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Synthetic spectra are (usually) cellular »
Preprint |
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Lax monoidality for products of enriched higher categories »
Preprint |
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Examples of disk algebras »
Joint with Sanath Devalapurkar, Jeremy Hahn, Andrew Senger, and Dylan Wilson Preprint |
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On the slice spectral sequence for quotients of norms of Real bordism »
Joint with Agnès Beaudry, Michael A. Hill, XiaoLin Danny Shi, and Mingcong Zeng Preprint |
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Skeleta and categories of algebras »
Joint with Jonathan Beardsley Preprint |
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Ek-pushouts and Ek+1-tensors »
Joint with Michael Hill Preprint |
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The homotopy types of free racks and quandles »
Joint with Markus Szymik Preprint |
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Homotopy functoriality for Khovanov spectra »
Joint with Robert Lipshitz and Sucharit Sarkar Preprint |
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Quotient rings of H𝔽2 ∧ H𝔽2 »
Joint with Agnès Beaudry, Michael Hill, Xiaolin Danny Shi, and Mingcong Zeng Preprint |
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Chen-Khovanov spectra for tangles »
Joint with Robert Lipshitz, Sucharit Sarkar Preprint |
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Unwinding the relative Tate diagonal »
Preprint |
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Stable power operations »
Joint with Saul Glasman Preprint |
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Adjoining roots in homotopy theory »
Preprint |
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En-spectra and Dyer-Lashof operations »
To appear in the Handbook of Homotopy Theory |
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An introduction to Bousfield localization »
Preprint |
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The Witt vectors for Green functors »
Joint with Andrew Blumberg, Teena Gerhardt, Michael Hill To appear in Journal of Algebra |
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Calculating obstruction groups for E∞
ring spectra »
Preprint |
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Khovanov spectra for tangles »
Joint with Robert Lipshitz, Sucharit Sarkar Preprint |
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Secondary power operations and the Brown-Peterson
spectrum at the prime 2 »
To appear in Annals of Mathematics |
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Brauer groups and Galois cohomology of
commutative ring spectra »
Joint with David Gepner To appear in Compositio Mathematica |
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Strictly commutative complex orientation theory »
Joint with Michael J. Hopkins To appear in Mathematische Zeitschrift |
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Localization of enriched categories and cubical sets »
Theory and Application of Categories, Vol. 32 (2017) |
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Vanishing of some Galois cohomology groups for elliptic curves »
Joint with Christian Wuthrich Elliptic Curves, Modular forms, and Iwasawa Theory, Springer Proceedings in Mathematics and Statistics, Vol. 188. |
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The cube and the Burnside category »
Joint with Robert Lipshitz, Sucharit Sarkar Contemporary Mathematics, Vol. 684 |
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Khovanov homotopy type, Burnside category, and products »
Joint with Robert Lipshitz, Sucharit Sarkar To appear in Geometry and Topology |
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Regularity of structured ring spectra and localization in K-theory »
Joint with Clark Barwick Preprint |
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Relative cyclotomic spectra and topological cyclic homology via the
norm »
Joint with Vigleik Angeltveit, Andrew Blumberg, Teena Gerhardt, Michael Hill, Michael Mandell Preprint |
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Topological modular forms with level structure »
Joint with Michael Hill Inventiones Mathematicae, Vol. 203, no. 2 (2016) |
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A note on H∞ ring structures »
Proceedings of the AMS, Vol. 143, no. 7 (2015) |
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The Shimura curve of discriminant 15 and topological automorphic forms
»
Forum of Mathematics Sigma, Vol. 3 (2015), e3 |
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A descent spectral sequence for arbitrary K(n)-local spectra with
explicit E2-term »
Joint with Daniel G. Davis Glasgow Mathematical Journal, Vol. 56, no. 2 (2014) |
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Commutative ring objects in pro-categories and generalized Moore
spectra »
Joint with Daniel G. Davis Geometry and Topology, Vol. 18, no. 1 (2014) |
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Interpreting the Bokstedt smash product as the norm »
Joint with Vigleik Angeltveit, Andrew Blumberg, Teena Gerhardt, Michael Hill Proceedings of the AMS, Vol. 144, no. 12 (2016) |
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Strictly commutative realizations of diagrams over the Steenrod
algebra and topological modular forms at the prime 2 »
Joint with Niko Naumann International Mathematics Research Notices, no. 10 (2014) |
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Commutativity conditions for truncated Brown-Peterson spectra of
height 2 »
Joint with Niko Naumann Journal of Topology, Vol. 5, no. 1 (2012) |
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Structured ring spectra and displays »
Geometry and Topology, Vol. 14, no. 2 (2010) |
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Commutative Gamma-rings do not model all commutative ring spectra
»
Homology, Homotopy and Applications, Vol. 11, no. 2 (2009) |
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Automorphic forms and cohomology theories on Shimura curves of small
discriminant »
Joint with Michael Hill Advances in Mathematics, Vol. 225, no. 2 (2010) |
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Topological automorphic forms on U(1,1) »
Joint with Mark Behrens Mathematische Zeitschrift, Vol. 267, no. 3-4 (2011) |
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The spectra ko and ku are not Thom spectra: an approach using THH
»
Joint with Vigleik Angeltveit, Michael Hill Geometry and Topology Monographs, Vol. 16 (2009) |
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An overview of abelian varieties in homotopy theory »
Geometry and Topology Monographs, Vol. 16 (2009) |
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The plus construction, Bousfield localization, and derived completion
»
Journal of Pure and Applied Algebra, Vol. 214, no. 5 (2010) |
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Topological automorphic forms »
Joint with Mark Behrens Memoirs of the AMS Vol. 958 |
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The topological Hochschild homology of ell and ko »
Joint with Vigleik Angeltveit, Michael Hill American Journal of Mathematics, Vol. 132, no. 2 (2010) |
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The Bott cofiber sequence in deformation K-theory and simultaneous
similarity in U(n) »
Math. Proc. Camb. Phil. Soc., Vol. 146, no. 2 (2009) |
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Realizability of the Adams-Novikov spectral sequence for formal
A-modules »
Proceedings of the AMS, Vol. 135, no. 3 (2007) |
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The product formula in unitary deformation K-theory »
K-theory, Vol. 37, no. 4 (2006) |
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Isogenies of elliptic curves and the Morava stabilizer group
»
Joint with Mark Behrens Journal of Pure and Applied Algebra, Vol. 207, no. 1 (2006) |
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Completed representation ring spectra of nilpotent groups »
Algebraic and Geometric Topology, Vol. 6 (2006) |
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The integral homology of orientable Seifert manifolds »
Joint with John Bryden, Brian Pigott, Peter Zvengrowski Topology and its Applications, Vol. 127 (2003) |
Link |
Other material |
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| Slides from the AMS joint meetings, Boston, 2012 | |
| A note on sign conventions in homological algebra | |
| Topological Hochschild homology of the Adams summand at the prime 2 through roughly dimension 256, and at the prime 3 through dimension 486 | Topological Hochschild homology of connective real K-theory with coefficients in connective complex K-theory through roughly dimension 256 |
| Notes from Mike Hopkins' course on motivic homotopy theory, Harvard, 2004 | Link |
| Papers on the arXiv | Link |
| A mirror of the TMF literature list from Talbot 2007 | Link |
| A mirror of Mark Hovey's problem list | Link |