Algebraic Statistical Models in Phylogenetics

Speaker: Seth Sullivant (North Carolina State University)

These lectures are for my short course at the CIMPA Research School on Commutative Algebra with Applications to Statistics and Coding Theory,  June 25 - July 6, 2018, in Zacatecas, Mexico.

Abstract: Phylogenetics is the branch of mathematical biology concerned with constructing evolutionary relationships between collections of species.  These lectures will introduce these models, in particular emphasizing the ways that algebraic statistics can be used to analyze properties of the models.  Viewed from the perspective of algebraic statistics, the corresponding algebraic varieties that arise are often familiar varieties from combinatorial algebraic geometry, including toric varieties and secant varieties.



Lecture 1:  Introduction to phylogenetics  (July 2, 2018)

Lecture 2: Phylogenetic models (July 3, 2018)

Lecture 3:  Phylogenetic invariants (July 4, 2018)

Lecture 4:  Group-based phylogenetic models (July 5, 2018)

Lecture 5:  Identifiability problems in phylogenetics (July 6, 2018)