Phylogenetic Reconstruction Based on Algebra

Phylogenetics is the discipline that studies the evolutionary history of species. During the last years there has been an approach to phylogenetics from the point of view of algebraic geometry. This perspective has been used to study the evolutionary models most used in phylogenetics but also to develop new phylogenetic reconstruction tools. Here we review the interplay between algebra and phylogenetics and we explain the most recent results that use these methods for the purpose of phylogenetic reconstruction.