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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
- Symbolic powers: Simis and weighted monomial ideals (with F. O. Méndez and M. Vaz Pinto), J. Algebra Appl. (2026), 2541001, 28 pp.
- M. Vaz Pinto and R. H. Villarreal, Graph rings and ideals: Wolmer Vasconcelos' contributions, in Proceedings in Mathematics, Commutative Algebra: The Mathematical Legacy of Wolmer V. Vasconcelos (J. Brennan and A. Simis, Eds.) De Gruyter, 2025, pp. 133-201.
- The signature of a monomial ideal (with J. Ibarguen, D. S. Moran and C. E. Valencia) AIMS Math. 9 (2024), no. 10, 27955-27978.
- 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. 9 (2024), no. 11, 3317-3353.
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 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.
I am preparing the 3rd Edition of my book on Monomial Algebras to be published by the book series Monographs and Research Notes in Mathematics, Chapman and Hall/CRC, 2016.
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