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

 

Some Publications,
  • With T. Van der Linden: The Yoneda isomorphism commutes with homology. JPAA 220 (2016) 495–517  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 209: 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