Public access to genomics databases I'm a statistician, and am interested in applying the theory of algebraic Markov models to genomics. Here's one paper I'm interested in: Large-scale genome-wide association analysis of bipolar disorder identifies a new susceptibility locus near ODZ4. I'm also interested in other diseases (i.e. not just bipolar). 

Are there any genomics databases that I can access publicly? 

There are some links in Human Connectome Project, but I'm not sure if these are genomics databases (or which papers have used their research).
Most genomics data that is published should be available in GEO (or SRA). Usually in the paper they mention the accession number. However, not every study ends up in there, and sometime studies that are in GEO are not reproducible (poor description of the samples, or design). But if you look at the original papers, most of the times you'll find an accession number.