Research

Links here are to preprints, but most published papers are close to their final form.

Paper	Coauthors	Publication status
"The Shimura curve of discriminant 15 and topological automorphic forms"		Preprint
"A descent spectral sequence for arbitrary K(n)-local spectra with explicit E2-term"	Daniel G. Davis	Glasgow Mathematical Journal To appear
"Commutative ring objects in pro-categories and generalized Moore spectra"	Daniel G. Davis	Preprint
"Interpreting the Bokstedt smash product as the norm"	Vigleik Angeltveit Andrew Blumberg Teena Gerhardt Michael Hill	Preprint
"Strictly commutative realizations of diagrams over the Steenrod algebra and topological modular forms at the prime 2"	Niko Naumann	International Mathematics Research Notices To appear
"Commutativity conditions for truncated Brown-Peterson spectra of height 2"	Niko Naumann	Journal of Topology Vol. 5, no. 1 (2012)
"Structured ring spectra and displays"		Geometry and Topology Vol. 14, no. 2 (2010)
"Commutative Gamma-rings do not model all commutative ring spectra"		Homology, Homotopy and Applications Vol. 11, no. 2 (2009)
"Automorphic forms and cohomology theories on Shimura curves of small discriminant"	Mike Hill	Advances in Mathematics Vol. 225, no. 2 (2010)
"Topological automorphic forms on U(1,1)"	Mark Behrens	Mathematische Zeitschrift Vol. 267, no. 3-4 (2011)
"The spectra ko and ku are not Thom spectra: an approach using THH"	Vigleik Angeltveit Mike Hill	Geometry and Topology Monographs Vol. 16 (2009)
"An overview of abelian varieties in homotopy theory"		Geometry and Topology Monographs Vol. 16 (2009)
"The plus construction, Bousfield localization, and derived completion"		Journal of Pure and Applied Algebra Vol. 214, no. 5 (2010)
"Topological automorphic forms"	Mark Behrens	Memoirs of the AMS Vol. 958
"The topological Hochschild homology of ell and ko"	Vigleik Angeltveit Mike Hill	American Journal of Mathematics Vol. 132, no. 2 (2010)
"The Bott cofiber sequence in deformation K-theory and simultaneous similarity in U(n)"		Math. Proc. Camb. Phil. Soc. Vol. 146, no. 2 (2009)
"Realizability of the Adams-Novikov spectral sequence for formal A-modules"		Proceedings of the AMS Vol. 135, no. 3 (2007)
"The product formula in unitary deformation K-theory"		K-theory Vol. 37, no. 4 (2006)
"Isogenies of elliptic curves and the Morava stabilizer group"	Mark Behrens	Journal of Pure and Applied Algebra Vol. 207, no. 1 (2006)
"Completed representation ring spectra of nilpotent groups"		Algebraic and Geometric Topology Vol. 6 (2006)
"The integral homology of orientable Seifert manifolds"	J. Bryden B. Pigott P. Zvengrowski	Topology and its Applications Vol. 127 (2003)

Other
Some notes on motivic homotopy theory from a seminar given in Fall 2004 by Mike Hopkins at Harvard.
Slides from a talk at the joint meetings in Boston, 2012.
Incomplete work and work in progress.
An experiment.

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