Her current research group focuses on understanding structure-property relations in model cell membranes, with specific emphasis on membrane mechanics, membrane-protein interactions, and membrane responses to interfacial and environmental cues. Her research projects heavily utilize neutron and X-ray scattering methods, among other approaches, to explore membrane structures and dynamics over the mesoscopic scales of vital biological functions.

Besides scholarly achievements, Dr. Ashkar is committed to diversity and inclusion in STEM and has been an active member on several committees promoting a better environment for underrepresented and marginalized groups in science. She was the founder and first chairperson of the "Women in Neutron Sciences” program at Oak Ridge National Lab. She recently served as the Chair of the APS Climate Site Visits Program, the flagship program of the APS Committee on the Status of Women in Physics. Currently, she serves on the executive committee of the APS Division of Biological Physics (DBIO) and one of her priorities is to establish programs to empower marginalized groups and ensure equitable recognition of their contributions.