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

 

Areas of Mathematical Activities
   Homotopy (co-)localization; particularly the homotopy theory of plus constructions
   Theory of exact couples and their associated spectral sequences
   Homotopy theory in semiabelian categories
   WMath Open Access Learning system development and content generation. Here is what is currently available:

 

Some Publications,
  • With T. Van der Linden: The Yoneda isomorphism commutes with homology. To appear in JPAA   PDF;
  • 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.

 

Courses Taught
  • Math 102: Linear Algebra for Engineers
  • Math 229: Advanced Calculus for Engineers
  • Math 114: Introduction to Calculus I
  • Math 115: Introduction to Calculus II
  • Math 214: Introduction to Calculus III
  • Math 215: Introduction to Calculus IV
  • Math 125: Introduction to Linear Algebra I
  • Math 225: Introduction to Linear Algebra II
  • Math 347: Axiomatic Set Theory
  • Math 363: History of Mathematics
  • Math 411: Complex Analysis I
  • Math 412: Complex Analysis II
  • Math 447: General Topology
  • Math 448: Differential Geometry I
  • Math 449: Differential Geometry II
  • Math 506: Complex Analysis in Several Variables, Complex Manifolds
  • Math 521: Differential Manifolds
  • Math 530: Algebraic Topology I
  • Math 630: Algebraic Topology II
  • Math 681: Transformation Groups
  • Math 681: Homological Algebra