Hiram Lopez Valdez

Professor López researches connections of commutative algebra, like vanishing ideals and Gröbner basis, with the fundamentals of coding theory and its applications, including quantum error correction, coding for post-quantum cryptography, and distributed storage systems.

More specifically. A linear code, or just a code, is the main object studied in coding theory. For any given code, it is possible to attach an algebraic object, so the properties of the code are studied using tools from commutative algebra, algebraic geometry, or combinatorics. This bridge allows us to construct families of codes with specific properties to satisfy the most demanding and particular technological needs.