Office: Katharine Reed Cudahy Hall
Room 355
Phone: 414-288-6343
Email: karlb{at}mscs.mu.edu
Home Page: http://www.mscs.mu.edu/~karlb/

• Finite Mathematics
• Calculus
• Linear Algebra
• Abstract Algebra
• Foundations of Geometry

• Regular and inverse semigroups; embedding theorems for semigroups.

• College Mathematics for Business, Economics, Life Sciences, and Social Sciences, Eleventh Edition , (with Raymond A. Barnett and Michael R. Ziegler) Prentice-Hall, 2008.
• Embedding any countable semigroup in a 2-generated congruence-free semigroup, Semigroup Forum 41 (1990) 145-153.
• Embedding any countable semigroup without idempotents in a 2-generated simple semigroup without idempotents, Glasgow Math. J. 30 (1988), 121-128.