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Imagine a species whose habitat breaks into islands. Some populations become isolated, others stay connected, and over time the pattern keeps changing. These movements and separations leave traces in the species’ DNA, like a genetic memory of its past. In this talk, we present mathematical tools to decode this memory and understand how changes in connectivity shape genetic diversity. By modeling how populations split, merge, or reconnect, we study how these changes affect the genetic health of species, and how this knowledge can help guide conservation decisions. Together, these results help bridge theoretical population genetics with practical questions about how to preserve biodiversity in a changing world.