Brian W. Curtin

Brian W. Curtin is Associate Professor in the Department of Mathematics & Statistics at the University of South Florida. His research centers on algebraic combinatorics, exploring mathematical structures like distance-regular graphs, spin models, and Bose-Mesner algebras. With a PhD from University of Wisconsin, Madison, his work connects abstract algebra with combinatorial design theory.

Key research areas:

• Combinatorial representations of algebraic structures
• Inequality proofs in number theory
• Geometric interpretations of sequence properties

Publications demonstrate consistent focus on combinatorial representations of algebraic structures, particularly through analysis of Euler totient functions and Fibonacci vector spaces. Recent proofs establish connections between Lie algebra representations and combinatorial objects.