|
Professor 3E
SNI III
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:
- Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals, (with G. Grisalde and A. Seceleanu), Res. Math. Sci. 9, 13 (2022).
- Normality criteria for monomial ideals, (with L. A. Dupont, H. Muñoz-George), Results Math. 78 (2023), no. 1, paper no. 34, 31 pp.
- A duality theorem for the ic-resurgence of edge ideals, European J. Combin. 109 (2023), paper no. 103656, 18 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.
|
|