The National Science Foundation (NSF) Engineering program awarded a $562,234 Faculty Early Career Development (CAREER) grant to the University of California, Berkeley to conduct research on new models and algorithms for dynamic allocation of resources in applications such as shared mobility, battery swapping for electric vehicles, and online advertising. The 5-year project aims to develop practical algorithmic solutions that can accommodate complex features, objectives, and constraints in these emerging application areas. The research will (i) generate systematic algorithmic insights for more robust online platforms, (ii) identify connections to related domains like queueing theory, and (iii) discover new methods for analyzing adaptive online algorithms. The grant also includes an educational component to broaden STEM interest and provide opportunities for underrepresented communities by training community college instructors and developing interactive learning modules.