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The Mathematics of Population Genetics

Bill Briggs
Mathematics Department
University of Colorado at Denver

Population genetics is the first area of biology in which rigorous mathematical models were developed. This work was done in the 1920s by Fisher, Sewell, and Wright. In this sense, population genetics is to biology what Newtonian mechanics is to physics. Compared to mathematics models in mechanics, population genetics is sadly neglected in much of our teaching. In this talk, we will survey some of the early population genetics models, which involve difference and differential equations. We will see how they have been extended to present day models that are still relevant and not fully understood.