# Home

** Cinvestav Researcher 3E
SNI III
Department of Mathematics
Cinvestav - CDMX Zacatenco
**

## Areas of interest

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

## Recent Papers

- Indicator functions, v-numbers and Gorenstein rings in the theory of projective Reed--Muller-type codes, (with M. González-Sarabia, H. Muñoz-George, J. A. Ordaz and E. Sáenz-de-Cabezón), Des. Codes Cryptogr., to appear.
- Normally torsion-free edge ideals of weighted oriented graphs, with G. Grisalde and J. Martínez-Bernal), Comm. Algebra
**52**(2024), no. 4, 1672-1685. - A duality theorem for the ic-resurgence of edge ideals, European J. Combin.
**109**(2023), paper no. 103656, 18 pp. - Normality criteria for monomial ideals, (with L. A. Dupont, H. Muñoz-George), Results Math.
**78**(2023), no. 1, paper no. 34, 31 pp.

## 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 Journal of Algebraic Combinatorics and Bulletin Mathematique, and was a member of the boards of Communications in Algebra, Boletin de la Sociedad Matematica Mexicana and Aportaciones Matematicas.

## Favorites

Here are some of my favorite destinations on the Web. Check them out and if you know some other great places please let me know!

## Contact

Department of Mathematics

Av. IPN 2508, Col. San Pedro Zacatenco,

Ciudad de México. C.P. 07360.

Office 044

☏ Office Phone: (+52) 55 5747 3870

✉ E-mail: vila [at] math.cinvestav.mx