The current technology allows us to investigate molecular biology at an unprecedented scale. We now know the complete DNA sequences of several organisms, and we can also study protein-DNA interactions at very high resolution. As the daunting amount of data accumulates, there is an increasing need for statist ical and probabilistic tools to process the noisy data and infer biological functions from them. Molecular biology thus provides a fertile ground for research for mathematically trained scientists. These lectures are designed for mathematicians who are interested in learning about current topics in molecular biology. No background in biology will be assumed. Topics to be covered include:

• Basic molecular biology. Sequence analysis: DNA, RNA, and Proteins.
• High-throughput Technology: microarrays, sequencing, data analysis and persistent homology.
• Protein-DNA interactions: gene regulation.
• Epigenetics: Nucleosomes, histone modifications, and DNA methylation.
• Diseases: cancer and developmental diseases.