My research is concentrated on the computational modeling of interfaces in materials and structures. The mechanics of interfaces plays a large role in the behavior of materials, such as the bonding surfaces between constituents of composite materials, the roughness of contacting surfaces in bolted joints, and the fracture process zone in brittle or ductile materials. Therefore, I focus on developing inherently stable and robust numerical methods for tracking these evolving interfacial mechanisms, such as sliding, debonding, and crack propagation.