Department of Mathematics
Texas A&M University
College Station, TX 77843-3368
Phone: 979-845-1956
Fax: 979-845-6028
I am from Mexico. Currently
I am a second year Ph.D. student under the
advisory of Frank Sottile. My
research interests are Combinatorial Commutative Algebra and
Computational
Algebraic Geometry.
If I were a Springer-Verlag Graduate Text in
Mathematics, I would be Saunders Mac Lane's Categories for the
Working Mathematician.
I provide an array of general ideas
useful in a wide variety of fields. Starting from foundations, I
illuminate the concepts of category, functor, natural transformation, and
duality. I then turn to adjoint functors, which provide a description of
universal constructions, an analysis of the representation of functors by
sets of morphisms, and a means of manipulating direct and inverse limits.