Students

1. Cristo Daniel Alvarado, Undergraduate Degree in Physics and Mathematics at IPN. Thesis title: Ejemplos consistentes en el problema de Malykhin, defended on September 24, 2025.
2. José Alberto Guzmán Vega, Masters' Degree (in Physical and Mathematical Sciences) at IPN. Thesis title: Resultados de tipo Ramsey bajo el axioma de determinación­, defended on July 22, 2025.
3. José Alberto Guzmán Vega, Undergraduate Degree in Physics and Mathematics at IPN. Thesis title: Axioma de Determinación, defended on December 9, 2024.
4. Jesús Alberto Soria Rojas, Masters' Degree (in Physical and Mathematical Sciences) at IPN. Thesis title: Existencia de ultrafiltros idempotentes a partir de construcciones límite y formas débiles de elección, defended on July 18, 2024.
5. Ángel Jareb Navarro Castillo, Masters' Degree (in Mathematical Sciences) at UNAM-UMSNH. Thesis title: Finiteness Classes from Partitions, defended on December 13, 2024.

(Students that already have some significant progress in their thesis work are listed.)

• Ph. D.:
  1. Germán Vera Martínez, Ph. D. degree in Physical and Mathematical Sciences at IPN (co-supervised along with Eliseo Sarmiento Rosales). Tentative thesis title: Aplicaciones del álgebra conmutativa.
  2. José Alberto Guzmán Vega, Ph. D. degree in Physical and Mathematical Sciences at IPN (co-supervised along with Eliseo Sarmiento Rosales). Tentative thesis title: Computación cuántica.
  3. José Ángel Andrade Armendáriz, Ph. D. degree in Physical and Mathematical Sciences at IPN. Tentative thesis title: Teoremas de tipo Ramsey y Métodos no estándar.
• Masters' Degree:
  1. Edgar Osvaldo Rodríguez Pérez, Masters' Degree in Physical and Mathematical Sciences at IPN. Tentative thesis title: Lógicas modales y cardinales 2-estacionarios.
  2. Miguel Ángel Vizcaya Rodríguez, Masters' Degree in Artificial Intelligence and Data Science at IPN.
• Undergraduate Degree:
  1. Jesús Alberto Flores Hinostrosa, Undergraduate Degree in Physics and Mathematics at IPN. Thesis title: La compactación de Čech-Stone como herramienta para probar resultados de combinatoria y análisis.
  2. Julio Solis Noguez, Undergraduate Degree in Physics and Mathematics at IPN. Thesis title: Teoría de la computabilidad con C++ aplicada a un sistema de lógica proposicional.
  3. Julio César Vargas Domínguez, Undergraduate Degree in Physics and Mathematics at IPN. Tentative thesis title: Esquemas de construcción y familias MAD.
  4. Jorge Emilio Mora Sandoval, Undergraduate Degree in Physics and Mathematics at IPN. Tentative thesis title: Características Cardinales del Continuo en el Diagrama de Cichoń.
  5. Boris Medina Camarena, Undergraduate Degree in Algorithmic Mathematics at IPN. Tentative thesis title: Teoría Homotópica de Tipos y sus Interpretaciones.
  6. Luis Eduardo Martínez Castellanos, Undergraduate Degree in Physics and Mathematics at IPN. Tentative thesis title: Teoremas de tipo Ramsey.
  7. Gabriel Martínez González, Undergraduate Degree in Physics and Mathematics at IPN. Tentative thesis title: El teorema de Goodstein.
  8. Omar Porfirio García, Undergraduate Degree in Algorithmic Mathematics at IPN. Tentative thesis title: Las Matemáticas en Reversa del Lema Débil de König.
  9. Misael Elí Velasco Vásquez, Undergraduate Degree in Physics and Mathematics at IPN. Tentative thesis title: El teorema de Hahn-Banach como un principio débil de elección.

If you are interested in writing some sort of thesis under my supervision, it's hard to imagine how you could do it in any language other than Spanish. Therefore, please click on the Spanish version of this website.