(Attacks against privacy-preserving systems) Data is core to the digital economy. Scandals such as Cambridge Analytica, however, serve as a reminder that large-scale collection and use of data raise serious privacy concerns. In this talk, I will discuss past and current research in data anonymization and anonymous use of data. More specifically, I will describe how historical statistical disclosure control methods fail to protect people's privacy in a world of big data and discuss the potential and challenges of modern security-based approaches to data privacy.