Professor Héctor Diaz Leal Guzmán has a Ph.D. in Mathematics, CINVESTAV, Instituto Politécnico Nacional (IPN) 1997. His thesis was entitled: Geometric and combinatorial aspects of the irreducible components of the variety of (l:k)-Grassmannians, he was awarded the Lázaro Cárdenas Prize. IPN in 1980. Candidate to national researcher (SNI) 1997-2001 and the Beca a la Permanencia, Universidad Autónoma Metropolitana (UAM) 2014-2024.

His published or accepted books are: Second course of differential equations with introduction to partial differential equations in partial derivatives (2014). Textbook. Linear algebra (2014). Textbook. Sheaf theory. Introduction to the theory of schemes (2017). Science textbook. Discrete mathematics. Textbook. Languages and automata. Group theory. Ring theory. Gröbner bases. Scientific textbook. Second course of differential equations with introduction to partial differential equations. Second edition. Textbook.