I am interested to work in Algebraic Graph Theory, combinatorial matrix theory and Algebraic Number Theory. Few key areas of my research are polynomials divisble by cyclotomic polynomials, Ramanujan sums, circulant matrices, circulant graphs, applications of Ramanujan sums and circulant matrices in signal processing and image processing, exponents of nonnegative matrices, arithmetic functions and total postivity of matrices which arise from combinatorics.