Epigenetics is the study of nonsequence-based changes, such as DNA methylation, heritable during cell division. I will start the talk with a short tutorial on epigenetics and DNA methylation. I will describe new challenges for statisticians related to scan statistics. I will describe the important role modern statistical techniques play in finding regions of the genome that are consistently different between disease and normal groups and new challenges specifically related to next-generation sequencing data. I will also describe batch effects and how we deal with it. Finally, I will present some interesting Biological results related to development and cancer.