The low dimensional quantum magnets with different lattice topology (honeycomb, square, and 1D chain) are an active field of research in current condensed matter physics and are of my research interest to explore their anisotropic physical properties. In addition to their intrinsic features, these systems exhibit diverse and unusual phenomena under high magnetic field, chemical substitution and external pressure. My main theme is also to probe the static and dynamic nature of spin glass (SG), quantum critical point (QCP) and quantum spin-liquid (QSL) behavior in one-, two- and three-dimensions via bulk- (magnetization, heat-capacity, and thermal conductivity) and local-probe experiments (Neutron diffraction, RIXS, NMR spectrum and relaxation rate, Muon spin rotation (MuSR), etc).