Dr. Keir Lockridge
Teacher-Scholar Postdoctoral Fellow
Office |
Manchester 333 | |
Phone |
(336) 758-3334 | |
Home Page |
http://www.wfu.edu/~lockrikh | |
Email |
lockrikh 'at' wfu.edu | |
Degrees |
Ph.D. in Mathematics, University of Washington, August, 2006. Bachelor of Arts in Mathematics, cum laude, Rice University, May, 1999. |
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Research Interests |
Formulations of Freyd's generating hypothesis, a fundamental conjecture in stable homotopy theory, in general stable categories. The relationship between the generating hypothesis and ring theory (e.g., notions of homological dimension). Semisimple and von Neumann regular ring spectra. The global structure of stable categories (thick subcategory classification, nilpotence theorems, model categories). Ring spectrum structures on generalized Smith-Toda complexes. |
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Papers |
The generating hypothesis in the derived category of a ring, with Mark Hovey and Gena Puninski. Mathematische Zeitschrift, 256 (2007), no. 4, 789--800, doi:10.1007/s00209-007-0103-x.
The generating hypothesis in the derived category of R-modules. Journal of Pure and Applied Algebra, 208 (2007), no. 2, 485--495, doi:10.1016/j.jpaa.2006.01.018. The generating hypothesis in general stable homotopy categories. Ph.D. Thesis, University of Washington, 2006. |
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Classes |
Calculus and Analytic Geometry 1 (Math 111) |
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Personal Interests |