Education and career
Petrova earned bachelor's and master's degrees from Sofia University in 1991 and 1993. She moved to the US for her doctoral studies, completing a Ph.D. in 1999 at the University of South Carolina. Her dissertation, Transport Equations and Velocity Averages, was supervised by Ronald DeVore.
She joined the University of Michigan mathematics department as a visiting assistant professor in 1999 and then, in 2001, moved to Texas A&M. At Texas A&M, she is also affiliated with the Institute for Applied Mathematics and Computational Science.