Daniel G. Davis
Assistant Professor

Contact:
Office: 402 Maxim Doucet
Phone: 337-482-5943
E-mail: dgdavis@louisiana.edu
Home page: http://www.ucs.louisiana.edu/~dxd0799/

Degrees:
Ph.D. 2003 Northwestern University
M.S. 1997 University of Illinois, Urbana-Champaign
B.A. 1994 Vanderbilt University

Statement:
Research Interests: Algebraic Topology: (a) stable homotopy theory, especially from the chromatic perspective; (b) spectra with continuous actions by profinite groups, and their homotopy fixed points; (c) the Multiplicative Ring Spectra project of Paul Goerss and Mike Hopkins; and (d) Morava E-theory.

Selected research publications:

• Function spectra and continuous G-spectra, submitted (2011).
• Every K(n)-local spectrum is the homotopy fixed points of its Morava module (with Takeshi Torii), submitted (2010).
• Delta-discrete G-spectra and iterated homotopy fixed points, Algebraic & Geometric Topology, to appear (2010).
• Obtaining intermediate rings of a local profinite Galois extension without localization, Journal of Homotopy and Related Structures, 5 (2010), 253-268.
• The homotopy fixed point spectra of profinite Galois extensions (with Mark Behrens), Transactions of the American Mathematical Society, 362 (2010), 4983-5042.
• Epimorphic covers make R^+_G a site, for profinite G, Theory and Applications of Categories, 22 (2009), 388-400.
• Iterated homotopy fixed points for the Lubin-Tate spectrum, with an appendix An example of a discrete G-spectrum that is not hyperfibrant (appendix joint with Ben Wieland), Topology and its Applications, 156 (2009), 2881-2898.
• Explicit fibrant replacement for discrete G-spectra, Homology, Homotopy and Applications, 10 (2008), 137-150.
• The homotopy orbit spectrum for profinite groups, submitted (2006).
• The E_2-term of the descent spectral sequence for continuous G-spectra, New York J. of Math., 12 (2006), 183-191.
• Homotopy fixed points for L_{K(n)}(E_n \wedge X) using the continuous action, Journal of Pure and Applied Algebra, 206 (2006), 322-354.