The application of information retrieval, natural language processing, and machine learning to finding documents relevant to lawsuits ("e-discovery") has become a multi-billion dollar industry. Legal changes in the US in 2006 sparked this explosion, and lawyers and judges, traditionally late adopters of technology, have been struggling to adapt. Confusion, charlatanism, and misunderstandings are rampant, including in court filings and judicial decisions.

Educational outreach by computer scientists and statisticians can help. However, there are things that the legal world would like to know that are simply unknown. In this talk I attempt to crystallize several of these issues as open problems that can be investigated without access to proprietary legal data. I will briefly discuss work with Doug Oard, William Webber, and Mossaab Bagdouri on two of these problems. The others are yummy low hanging fruit.