Research Interests Our research interests include enumerative combinatorics, discrete mathematics, graph theory, linear and multilinear algebra, matrix theory, Lie theory, representation theory and their applications. We focus on the use of Riordan group theory and Riordan array techniques on problems arising in combinatorics, matrix theory and related topics. Related Topics ¢¹ Group representation theory ¢¹ Lie group & Lie algebra ¢¹ Number theory ¢¹ Chromatic polynomials of a graph ¢¹ Orthogonal polynomials ¢¹ Differential equations of Bessel type ¢¹ $q$-analysis ¢¹ Theory of wavelets ¢¹ Non-parametric statistics for lattice path counting ¢¹ Quantum group theory ¢¹ Combinatorial quantum physics ¢¹ Normal ordering of boson strings