Every undergraduate mathematics student becomes acquainted with a wide array of mathematical applications in sciences such as physics, chemistry, and economics. Indeed, rigorous mathematical training is a requirement for most science majors. Traditionally, however, there has been a disconnect between the academic worlds of mathematics and biomedicine. This is beginning to change. Largely driven by the recent completion of the federally-funded Human Genome Project, the last decade has seen an explosion of genomic data, and a corresponding need for quantitative methods to analyze and interpret the data. In this talk, I provide a brief overview of the burgeoning field of computational genomics. I also give several vignettes demonstrating the contributions that mathematicians, statisticians, and computer scientists can make (and have made) to advances in human health and disease treatment. I conclude with some examples where mathematical and statistical techniques have been useful in my own research.