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

1. Weighted Ehrhart functions (with E. Reyes and C. E. Valencia), Bol. Soc. Mat. Mexicana (3) 32 (2026), no. 1, Paper No. 13, 17 pp.
2. Ehrhart functions of weighted lattice points (with J. A. De Loera, C. E. Valencia and C. Wang), Ann. Comb. (2026).

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 an Advisory Editor of Combinatorial Commutative Algebra.

I was 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.

The 3rd Edition of my book on Monomial Algebras has been published in the book series Monographs and Research Notes in Mathematics, Chapman and Hall/CRC, April 7, 2026.

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!

• http://www.math.rutgers.edu
• http://www.commalg.org
• http://www.ms.uky.edu/~corso
• https://github.com/Normaliz
• https://macaulay2.com

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