Torres Sweeney received her BSc degree at University College Cork in 1991 and her Ph.D. degree at University College Dublin in 1994. She was a post-doctoral research fellow with the European Science Foundation at the MRC, Centre for Reproductive Biology, Edinburgh from 1995–1996, and a post-doctoral research fellow with the Irish Health Research Board from 1996–1998. She was a College Lecturer in Cell and Molecular Biology at the Faculty of Veterinary Medicine, UCD from 1998–2002, a Senior Lecturer in Cell and Molecular Biology at the School of Agriculture, Food Science and Veterinary Medicine and Conway Institute, UCD from 2002–2007, an Associate Professor of Animal Genomics at School of Agriculture, Food Science and Veterinary Medicine and Conway Institute, UCD from 2007–2011, and a Professor of Animal Genomics at School of Veterinary Medicine, UCD from 2011–2018. She has been a Full Professor of Animal Genomics at the School of Veterinary Medicine, University College Dublin since 2019.