Mathematics of Genetic Diversity

The Problem: Why Mathematics?; Genes and Their Inheritance, Selection, Mutation; Survival of the Fittest: Balanced Polymorphisms, Multi-Locus Selection, Balance Between Selection and Mutation, The House of Cards, The Diploid House of Cards, The Resistance of Polymorphisms to Mutation; The Neutral Alternative: Evolution in the Absence of Selection, A General Model for Mutation in Finite Populations, The Random Walk Case, The Frequency Spectrum, The Ewens Sampling Formula, The Poisson-Dirichlet Distribution, Partition Structures, Testing Neutrality; Selection in Finite Populations: Deleterious Mutants, The Wright-Fisher Model, Wright's Formula, The Infinite Alleles Limit.