Carro was born in 1961,[3] and motivated to work in mathematics by her father, who was prevented from studying science by the Spanish Civil War.
Next, she went to the University of Barcelona for doctoral study in mathematics, completing her Ph.D. in 1988 under the supervision of Joan Cerdà,[3] with the dissertation Interpolación compleja de operadores lineales.
There, she held a professorial chair from 1993 to 2019, when she moved to the Complutense University of Madrid.
[3] Carro received the medal of the Royal Spanish Mathematical Society in 2020.
[1] She was elected as a corresponding member of the Spanish Royal Academy of Sciences in 2021.