John E. Harper

NEW Email: john.edward.harper@gmail.com


I completed my Ph.D. degree in the Department of Mathematics at the University of Notre Dame in April 2008, studying algebraic topology under the guidance of my advisor, Bill Dwyer.

I will be starting a postdoc position at EPFL in fall 2008, working in the research group of Kathryn Hess.

Research interests:

My main research interest is in algebraic topology and homotopy theory. I am currently working on the homotopy theory and Quillen homology of modules and algebras over operads in symmetric spectra and unbounded chain complexes. The goal is to determine the extra structure that appears on the derived homology and the extent to which the original object can be recovered from its homology when this extra structure is taken into account.

Publications and preprints:

  1. Homotopy theory of modules over operads and non-Sigma operads in monoidal model categories. arXiv:0801.0191 [math.AT]. Submitted. 2008.
  2. Homotopy theory of modules over operads in symmetric spectra. arXiv:0801.0193 [math.AT]. Submitted. 2008.
  3. Bar constructions and Quillen homology of modules over operads. arXiv:0802.2311 [math.AT]. Submitted. 2008.

Fall 2007 courses:

Fall 2006 courses:

Fall 2005 courses: