Lie algebras

A graduate introductory course.
Course notes


A course on Groups and Galois Theory for upper undergraduate students.
Course notes

Introduction to Algebra

An introductory course for undergraduate students.
Course notes


A Calculus and (a bit of) Linear Algebra service course (in Spanish).
Course notes

El salto a la universidad. Una visión muy personal

A talk, in Spanish, given at the IV JEMA (IV Jornada de Educación Matemática en Aragón), reflecting on the transition from high school to college.

Old stuff:

Introducción al Álgebra.

Algebra V:    Associative rings and group representations.

  • Exercises for the fall semester (Spanish, pdf)
  • Exercises for the spring semester (Spanish, pdf)