The last decade has witnessed breathtaking developments in the performance of DNA sequencing. We produce genetic information for research and clinical care at exponential rates, with some new projects aiming to sequence hundreds of thousands of individuals. Sharing these genetic datasets is crucial to understand the genetic basis of diseases, accelerate biomedical discoveries, and produce better interpretation and diagnosis. The problem is that public sharing of genetic information risks the genetic privacy of participants and their families. Multiple lines of research have shown that genetic privacy cannot be guaranteed even if the data is disseminated without identifiers. But do we really need to choose between privacy and better clinical care? This symposium will illuminate the opportunities and complexities in sharing genetic data and discuss potential cryptographic and policy mitigation schemes for this problem.