George Peschke Department of Mathematical and Statistical Sciences University of Alberta Edmonton Canada, T6G 2G1 Phone Fax E-Mail (780)-492-0565 (780)-492-6826 Teaching   Academic Year 2014/15 Fall Term Linear Algebra: Math 125, Calculus: Math 214 Areas of Mathematical Activities Homotopy (co-)localization    Homotopy theory of plus constructions    Theory of spectral sequences for transfinitely filtered objects    WMath Open Access Learning system development and content generation. Here is what is currently available: Linear Algebra in $\mathbb{R}^n$ an e-book for an introductory course in linear algebra favoring a geometric and visual approach Sets in the spirit of the inventor: Georg Cantor very elementary introduction to the concepts of set and function Differential Calculus in Several Variables (midlevel introduction, suitable for subsequent studies of differential geometry, differential topology, etc.) Differential Geometry of curves (basic introduction) Some Publications, Universal Extensions. C.R. Acad. Sci. Paris, Ser. I 349 (2011) 501 – 504   PDF; Published version With D. Blanc.   The fiber of functors between categories of algebras. Journal of Pure and Applied Algebra 207 (2006) 687 – 715   PDF With W. Shen.   Localization of epimorphisms and monomorphisms in homotopy theory. Topology and its Applications, 145 (2004) 1 – 10   PDF With D. Blanc.   The plus construction, Postnikov towers and universal central module extensions. Israel J. Math. 132 (2002) 109 – 123   PDF With G. Mislin.   Central extensions and generalized plus constructions. Trans. AMS 353 No. 2 (2001) 585 – 608   PDF Local global principles in group theory and homotopy theory. Birckhäuser Verlag, Progress in Math. 136 (1996) 381 – 391 Localization and Genus in Group Theory, Trans. AMS 347 (1995) 155 – 174 With P. Symonds.   Various local global principles for abelian groups. Publicacions Mathematiques 38 (1994) 353 – 370. Degree of certain equivariant maps into a representation sphere, Topology & App. 59 (1994) 137 – 156 With P. Seymonds. Pro-torsion completions of abelian groups. JPAA 88 (1993) 187 – 197. With C. Casacuberta. Localizing with respect to self-maps of the circle. Trans AMS 339 (1993) 117 – 140. With C. Casacuberta and M. Pfenniger. On orthogonal pairs in categories and localisation. Adams Memorial Symposium on Algebraic Topology, 1 (Manchester, 1990), CUP London Math. Soc. LNS 175 (1992) 211 – 223   PDF With C. Casacuberta and M. Pfenniger. Sur la localisation dans les catégories avec une application a la theorie de l'homotopie. Comptes Rendus Acad. Sci. Paris I 310 (1990) 208 – 210. The theory of ends. Nieuw Archiev voor Wiskunde 8 (1990) 1 – 12   PDF Localizing groups with action. Publ. Math. 33 (1989), 227 – 234   PDF H-semidirect Products. Canadian Math. Bull. 30 (1987) 402 – 511.