Vigleik Angeltveit's homepage


Vigleik Angeltveit
Department of Mathematics
University of Chicago
5734 S University Avenue
Chicago, Illinois 60637

Office: 333 Eckhart
Phone: 773-702-9845
Email: vigleik@math.uchicago.edu

I am currently an MSRI postdoc, working at the University of Chicago with Peter May. I got my PhD at MIT with Haynes Miller. Here is a copy of my PhD thesis.

Published papers:
  • (With John Rognes) Hopf algebra structure on topological Hochschild homology Algebraic and Geometric Topology 5 (2005) 1223-1290.
  • Enriched Reedy categories. Proceedings of the AMS 136 (2008), no. 7, 2323-2332.
  • Topological Hochschild homology and cohomology of A-infinity ring spectra. Geometry and Topology 12 (2008), no. 2, 987-1032.
  • The cyclic bar construction on A-infinity H-spaces. Advances in Mathematics 115 (2009), no. 5, 1589-1610.
  • (With Mike Hill and Tyler Lawson) Topological Hochschild homology of \ell and ko. To appear in the American Journal of Mathematics.
  • (with Mike Hill and Tyler Lawson) The spectra ko and ku are not Thom spectra: an approach using THH. The proceedings of the Banff workshop "New Topological Contexts for Galois Theory and Algebraic Geometry", in Geometry and Topology Monographs, Volume 16 (2009), 1-8.
  • (With Teena Gerhardt and Lars Hesselholt) On the K-theory of truncated polynomial algebras over the integers. Journal of Topology 2 (2009) no. 2, 277-294.

    Preprints:
  • (With Teena Gerhardt) RO(S^1)-graded TR groups of F_p, Z and \ell. The math arXiv.
  • (With Teena Gerhardt} On the algebraic K-theory of the coordinate axes over the integers. The math arXiv.
  • Uniqueness of Morava K-theory. The math arXiv.

    In progress:
  • (With Peter May) From multicategories of permutative categories to multicategories of S-modules.
  • A topological Hochschild homology spectral sequence.
  • On the algebraic K-theory of Z/p^n.

    Slides from talks:
  • Notre Dame topology seminar talk.

    Here is a link to the University of Chicago topology seminar, which I am coorganizing, and here is a link to the proseminar.

    This fall I am not teaching.