Daniel G. Davis

After postdocs at Purdue and Wesleyan Universities, Dr. Daniel Davis came to UL Lafayette in Fall 2007. His research interests are in algebraic topology, with a focus on stable homotopy theory, especially from the chromatic perspective. His work often relates to developing the theory of spectra with a continuous action by a profinite group.

Ph.D. in Mathematics, 2003 
Northwestern University

M.S. in Mathematics, 1997 
University of Illinois, Urbana-Champaign

B.A. in Mathematics, 1994 
Vanderbilt University

• Algebraic topology with a focus on stable homotopy theory, specially from the chromatic perspective
• Theory of spectra with a continuous action by a profinite group

• Davis, Daniel G. and Quick, Gereon, Profinite and discrete $G$-spectra and iterated homotopy fixed points, Algebr. Geom. Topol., 16 (2016) no. 4,2257--2303.
• Davis, Daniel G. and Lawson, Tyler, A descent spectral sequence for arbitrary $K(n)$-local spectra with explicit $E_2$-term, Glasg. Math. J., 56 (2014) no. 2,369--380.
• Davis, Daniel G. and Lawson, Tyler, Commutative ring objects in pro-categories and generalized Moore spectra, Geom. Topol., 18 (2014) no. 1,103--140.
• Davis, Daniel G., Homotopy fixed points for profinite groups emulate homotopy fixed points for discrete groups, New York J. Math., 19 (2013),909--924
• Davis, Daniel G. and Torii, Takeshi, Every $K(n)$-local spectrum is the homotopy fixed points of its Morava module, Proc. Amer. Math. Soc., 140 (2012) no. 3,1097--1103.

• Finalist for Math Department’s T.A. Teaching Award, University of Illinois, Urbana–Champaign, May, 1999.
• 1st place (tied), Real Analysis Comprehensive Exam, University of Illinois, Urbana–Champaign, August, 1998. 
• Who’s Who Among America’s Teachers, 1998. 
• 1st place, Algebra Comprehensive Exam, University of Illinois, Urbana–Champaign, August, 1997.
• Included on An Incomplete List of Teachers Ranked as Excellent By Their Students, denoted Outstanding, University of Illinois, Urbana–Champaign, Spring 1996, Spring 1997, Fall 1997. 
• College Cabinet Honor Scholarship, Vanderbilt University, full-tuition, 1990–1994. 
• Scholarship for International Studies in London program of Vanderbilt University, at Birkbeck College, London, studied economics and politics, July–August, 1993.