I am very interested in immersing myself into the DNA sequencing data compression field.

Unfortunately, I am more experienced in using such data rather than compressing them.

Hence, I would be delighted if you could provide me with some overview of the current algorithms in that field, how they do compress data and how efficient they do their job. Also it would be helpful to me to know what are important open questions for compressing DNA sequencing data (and perhaps even RNA-Seq or ChIP-Seq data).

Many thanks for your help in advance!