Publications

• "On the generalized Hamming weights of certain Reed-Muller-type codes" (with Rafael H. Villarreal and M. González-Sarabia), Analele Univ. Ovidius din Constanta, Math. Series 28(1) (2020), 205-217.

• "Evaluation code and their basic parameters" (with Maria Vaz Pinto and Rafael H. Villarreal), Designs, codes and cryptography. arXiv:1907.13217

• "The v-number of edge ideals" (with Rafael H. Villarreal), Journal of Combinatorial Theory, Series A. arXiv:2001.06861 

• "F-thresholds and test ideals of  Thom-Sebastiani-type polynomials" (with Manuel González Villa and Luis Núñez-Betancourt). Proc. Amer. Math. Soc. arXiv:2005.09172

• "Coding theory package for Macaulay2" (with Taylor Ball, Eduardo Camps, Henry Chimal-Dzul, Hiram H. Lopez, Nathan Nichols, Matthew Perkins, Ivan Soprunov, German Vera-Martinez, and Gwyn Whieldon). Journal of Software for Algebra and Geometry. arXiv:2007.06795  

• "Relative generalized Hamming weights of evaluation codes" (with Yuriko Pitones, and Hiram H. López). Sāo Paulo Journal of Mathematical Sciences.  arXiv:2112.07085 

• "Connected domination in graphs and v-numbers of binomial edge ideals" (with Lisa Seccia). Collectanea Mathematica, Springer, DOI: 10.1007/s13348-023-00412- w.  arXiv:2304.04898 

• "The edge codes of hypergraphs".  submitted. https://arxiv.org/pdf/2404.02301.pdf .  2024.

PhD Thesis. 

Here is short video about some of my research interests