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Luis Núñez-Betancourt
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Investigador Titular C (Full Professor)
Centro de Investigación en Matemáticas
SNI 3

Office: K-305
Jalisco S/N, Valenciana
Guanajuato, GTO
CP: 36023
luisnub@cimat.mx

(Español)



Research:

My research interests are in commutative algebra and its connections to algebraic geometry, and combinatorics. Specifically, I work on local cohomology, Lyubeznik numbers, D-modules, F-modules, F-thresholds, tight closure, Castelnuovo-Mumford regularity, binomial edge ideals, and symbolic powers.

I belong to CIMAT's Commutative Algebra and Algebraic Geometry Group.

Publication list

About me:

I am from Durango, Mexico. It is a small but beautiful city in the north of Mexico. I was an undergraduate at the joint program of the University of Guanajuato and CIMAT. I did my senior thesis under the direction of Xavier Gómez-Mont. It was very nice to come back to work to my alma mater. In addition, Guanajuato is my favorite city in the world. I obtained my doctoral degree from the University of Michigan under the supervision of Mel Hochster. I met Alexis, my wife, in Ann Arbor. I was a Whyburn Instructor of Mathematics at the University of Virginia, where I worked with Craig Huneke. Besides math, I enjoy cooking, dancing, traveling, and playing basketball.

CV

Current PhD students:

Carlos Espinosa Valdéz
Pedro Ramírez Moreno
Ghazaleh Fakhrivaighan


I endorse Federico Ardila's axioms:

Axiom 1. Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
Axiom 2. Everyone can have joyful, meaningful, and empowering mathematical experiences.
Axiom 3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
Axiom 4. Every student deserves to be treated with dignity and respect.