Dr. Kumari conducts research in the field of seismic wave propagation, integrating principles from mathematics, physics, and geology to investigate wave behaviour in complex geomedia. Her work contributes to advancing seismological understanding by analyzing wave motion in elastic media with varied material properties, anisotropy, and irregular geometries. She has addressed a broad range of problems, including SH-wave propagation in irregular monoclinic and viscoelastic layers, wave transmission through infinite media, and the dynamics of G-type waves in homogeneous isotropic and viscoelastic layers over non-homogeneous half-spaces. Her studies have also examined stress generation in irregular isotropic half-spaces due to moving loads on rough free surfaces, and the three-dimensional reflection and refraction of quasi-waves in triclinic media with corrugated interfaces. To solve these complex problems, Dr. Kumari employs advanced mathematical techniques such as separation of variables, perturbation methods, Green’s functions, transformation methods, generalized Snell’s law, Fourier and Laplace transforms, and the Wiener–Hopf technique, enabling exact or closed-form solutions. Her investigations extend to layered fluid–solid systems, isotropic media, and self-reinforcing materials, often incorporating intermediate layers with varying anisotropy. Her recent work focuses on wave reflection and transmission in irregular anisotropic media, estimation of ground shock parameters during underground blast, the propagation of SH and torsional waves under varied geophysical conditions, dynamic responses to moving loads in irregular non-homogeneous self-reinforced materials, and crack propagation in magnetoelastic orthotropic strips. Through these studies, Dr. Kumari continues to contribute significantly to the theoretical and applied understanding of seismic wave phenomena in realistic geological settings.