Dr. Rafael Heraclio Villarreal Rodríguez

Departamento de Matemáticas
Centro de Investigación y de Estudios Avanzados del I.P.N.
Av. Instituto Politécnico Nacional 2508
Col. San Pedro Zacatenco, México DF., C.P. 07360
e-mail: vila [@] math.cinvestav.mx.

Areas of interest:

  • Commutative Algebra (Research Area)
  • Algebraic Geometry
  • Combinatorics and computational Algebra

Recent Papers:

  • The second generalized Hamming weight of some evaluation codes arising from a projective torus (with M. González-Sarabia, E. Camps and E. Sarmiento), Finite Fields Appl. 52 (2018), 370-394.

    NOTA: Este artículo se encuentra disponible hasta el 9 de julio de 2018.

  • Footprint and minimum distance functions (with L.
    Nuñez-Betancourt and Y. Pitones), Commun. Korean Math. Soc. 33 (2018), no. 1, 85-101.
  • Complete intersection vanishing ideals on sets of clutter type over finite fields (with A. Tochimani), Bull. Malays. Math. Sci. Soc. 41 (2018), no. 1, 81-89.

Monomial Algebras

Click here for the web page for the Second Edition of my book Monomial Algebras. This book brings together several areas of pure and applied mathematics, and shows how monomial algebras are related to polyhedral geometry, combinatorial optimization, and combinatorics of hypergraphs.

Interests and Current Activities

I am currently an Associate Editor of the Bulletin Mathematique, and was a member of the boards of Communications in Algebra, Boletin de la Sociedad Matematica Mexicana and Aportaciones Matematicas.