Research

Research Interests

Representation theory of Lie algebras and Lie groups, Nonassociative algebra, Symbolic computation, Mathematical Physics.

Publications

[1] Some nonunitary, indecomposable representations of the Euclidean algebra e(3), preprint, 2009 (with H. de Guise)

[2] Nonassociative algebra structures on sl(2)-modules, in progress 22 pages (with M. Bremner)

[3] The decomposition of nonunitary e(3)-modules into e(2)-modules, in progress 8 pages.

[4] Some residually solvable one relator groups, preprint, 2009 (with D. Kahrobaei and k. Benecsath)

[5] Generalized Lie-Yamaguti structures on the sl(3)-modules V(n,n), preprint, 2009 (with M. Bremner)

[6] A class of nonunitary, finite dimensional representations of the Euclidean algebra
e(2), Communications in Algebra, 35 (2007). (with A. Premat)

[7] On the finite dimensional, indecomposable representations of the Euclidean Algebra e(2) having two generators, Journal of Mathematical Physics 47 (2006), no 5.

[8] A classification of the finite dimensional, indecomposable representations of the Euclidean algebra having two generators, PhD thesis, University of Toronto, 2006.

[9] The relationship among math anxiety, math self concept and performance in math, MEd thesis, Lakehead University, 2001.

Recent and Upcoming Talks

• July 8, 2009, Conference on Lie and Jordan Algebras and their Representations, University of São Paulo, Brasil.
  
  
• June 2009, Second Mile High Conference on Nonassociative Mathematics, University of Denver, Colorado. (to be confirmed)
  
  
• April 30, 2009, Third Annual Meeting of the Prairie Network for Research in Mathematical Sciences, Saskatoon, Canada.
  
  
• March 31, 2009, Bronx Community College Mathematics Seminar, Bronx, New York.
  
  
• February 13, 2009, Université du Québec à Montréal Mathematics Seminar, Montréal, Canada.
  
  
• December 5, 2008, New York Algebra Colloquium, CUNY Graduate Center, New York, New York.
  
  
• August 6, 2008, University of Saskatchewan Mathematics Colloquium, Saskatoon, Canada.
  
  
• February 2008, NYCCT Mathematics Seminar, Brooklyn, New York.
  
  
• January 6, 2008, American Mathematical Associate National Conference, San Diego, California.