Publications

Linear precision for parametric patches
with Frank Sottile (submitted)
- arXiv
- pdf
- slides
Computing the additive structure of indecomposable modules over Dedekind-like rings using Gröbner bases
with Maria Alicia Avino-Diaz, in Journal of Algebra and Its Applications, Vol. 6, No. 2 (2007) 291-304.
- JAA
- mathscinet
- Zentralblatt
- arXiv
- pdf
Sequential dynamical systems over words
with Abdul Jarrah and Reinhard Laubenbacher, in Applied Mathematics and Computation 174/1 (2005), pp. 500-510.
- AMC
- mathscinet
- Zentralblatt
- pdf
- slides
Catalog of small phylogenetic trees
with Marta Casanellas and Seth Sullivant. In "Algebraic Statistics for Computational Biology" (editors L. Pachter and B. Sturmfels), Cambridge University Press, 2005, pp. 291-304.
- mathscinet
- book
- book @ mathscinet
- website
- slides
Algebraic geometry for Bayesian networks
with Mike Stillman and Bernd Sturmfels, in Journal of Symbolic Computation 39/3-4 (2005), pp. 331-355.
- JSC
- mathscinet
- Zentralblatt
- arXiv
- pdf
- code
- slides
Algebraic statistics in model selection
In Proceedings of the 20th Conference on Uncertainty in Artificial Intelligence (editors M. Chickering and J. Halpern), 2004, pp. 177-184.
- ACM
- UAI
- pdf
- slides
Algebraic geometry of Bayesian networks
Ph.D. dissertation, Department of Mathematics, Virginia Polytechnic Institute and State University, 2004.
- VT
- pdf
Bases de Gröbner asociadas a modulos finitos (Spanish)
In Miscelanea Matematica (MMS) 30 (2000), 65-70.

Presentations

What is Computational Algebraic Geometry?
- slides
Minimal Cohen-Macaulay deformations of matroid ideals
with Mike Falk
- slides
The State Polytope
This talk gives an overview of the first two chapters of the book "Gröbner Bases and Convex Polytopes" by Bernd Sturmfels.
- slides

Manuscripts

A comparison of a Gaussian and a binary ancestral graph model
with Mathias Drton.
- pdf
Polynomial constraints of Bayesian networks with hidden variables
- pdf
- slides
Latino Genius in Mathematics Receives Award (English translation)
News article about Rodrigo Banuelos receiving the Blackwell-Tapia prize written by Jorge Morales Almada (La Opinion).
- article

Expository

An introduction to Singular
Notes introducing the computer algebra system Singular based on a lecture given at the Applications of Algebraic Geometry workshop at Texas A&M University.
- website
- pdf