She has an M.A. in instructional design from the University of North Carolina, Chapel Hill, and an M.A./Ph.D. in applied mathematics from North Carolina State University. In addition to mathematics, she regularly teaches first-year writing. She serves on the Society for Industrial and Applied Mathematics' (SIAM) Education Committee, as editor-in-chief of SIURO, SIAM Undergraduate Research Online, and as an associate editor of Math Horizons. Levy facilitates project-based learning for students at all levels, from end-of-class projects in first-year differential equations to yearlong industrial projects for teams of seniors. She encourages her research students to share mathematical fluid mechanics with a variety of audiences through conferences, outreach programs, and formal research papers. Her online project, Grandma got STEM, shares the power and talent of geeky grannies with its international readership.