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.

Administrative and scientific coordinators

Hernán De Alba Casillas (Universidad Autónoma de Zacatecas,
, )
Marcel Morales (Université Joseph Fourier,
, )

Scientific committee

Alicia Dickenstein (University of Buenos Aires, Argentina)
Rafael Villarreal (CINVESTAV, Mexico)
Diane Maclagan (University of Warwick, UK)
Trygve Johnsen (The Artic University of Norway, Norway)
Daniel Erman (University of Wisconsin, USA)

Scientific program

Course 1: "Syzygies and monomial ideals", Daniel Erman (University of Wisconsin, USA)

Course 2: "Algebraic-geometric codes", Trygve Johnsen (The Artic University of Norway, Norway)

Course 3: "Algebraic Statistics for random graphs and networks", Sonja Petrovic (Illinois Institute of Technology, USA)

Course 4: "Algebraic Statistics and Applications to Biology", Seth Sullivant (North Carolina State University, USA)

Course 5: "Combinatorics of binomial and toric ideals", Fatemeh Mohammadi (University of Bristol, UK)

Course 6: "Toric Codes", Johan Hansen (Aarhus University, Denmark)

Website of the school

How to participate

For registration and application to a CIMPA financial support, follow the instructions given here

Deadline for registration and application:  February 18, 2018.