Landa joined the faculty of Moscow State University in 1956, and remained there as a researcher and professor until she retired in 2020. She taught, did research on oscillations, with applications in plasma, lasers, and acoustics, and supervised twelve doctoral students through to the completion of their degrees. She was a visiting researcher at Lancaster University in 1999 and 2003. She was a member of the Russian National Committee on Theoretical and Applied Mechanics.