My research interests lie in the field of algebraic graph theory and algebraic combinatorics. Most of the work during my Ph.D. has been on problems in algebraic graph theory and combinatorial matrix theory. Recently I am also becoming interested in algebraic combinatorics and structural graph theories. Below I note down some projects I am planning for my future research
On some properties of the Toeplitz graph
Domination number of graphs arise from groups
Lattice path counting and Unimodular matrices
Title: Applications of Commuting Graphs to Study the Centralizers of Non-Abelian Groups
Sponsor: NBHM, Sanctioned Year: 2025-2027, Role: Principal Investigator