Anthony Gómez-Fonseca

I received my PhD in Mathematics from the University of Notre Dame in May 2025. My PhD advisor was Dr. Roxana Smarandache.

My research interests lie in coding theory and graph theory. I have been interested in the construction of low-density parity-check (LDPC) codes, particularly protograph-based and quasi-cyclic (QC) LDPC codes, and in the optimization of their parameters. To solve problems in these areas, I use methodologies from algebra and applied algebra, combinatorics, discrete mathematics, and optimization. I am also interested in investigating broader families of error-correcting codes, such as generalized LDPC codes and codes from expander graphs, and quantum error correction.

This website is still under construction. :)