Commutative Algebra with Applications to Statistics and Coding Theory

Commutative algebra and its multiple applications have grown considerably in recent years. The main purpose of the school is to present both, basic aspects of commutative algebra as well as more advanced tools focused on applications to combinatorics, coding theory and statistics. Participants will be provided with the basics on the combinatorics of binomial ideals and its relations with coding theory and algebraic statistics problems through courses and talks on the following topics:

1. Binomial and toric ideals and its combinatorics.
2. Syzygies and monomial ideals.
3. Algebraic-geometric and toric codes.
4. Algebraic Statistics for random graphs and networks.
5. Algebraic Statistics and Applications to Biology.

The school will foster interactions, scientific discussions, and networking, in which we expect all the participants, both researchers and students take part.