• Current
• Past Undergrad Theaching
• Past Grad Teaching
• # Quinquenios = 6
• LMP Home

Current Teaching Activities

1. Undergraduate Courses (2018/19)

   • Introduction to Commutative Algebra.
     Degree in "Mathematics", (6 ECTS).
   • Intrducción al Lenguaje Matemático.
     Degree in "Mathematics", (3 ECTS).

2. Graduate Courses (2018/19)

   • Computational Complexity.
     Master in "Mathematics & Computation", (3 ECTS).
   • Métodos Efectivos en Geometría Algebraica (MEGA).
     Master in "Mathematics & Computation", (3 ECTS)

3. Teaching in academic institucions

   • More than 4270 hours spent in lecturing undergraduate courses in Mathematics, Computer Engineering, Physics, etc.
   • More than 875 hours spent in lecturing graduate courses (Master Degree, Doctoral Courses, etc.).

4. TFG (Bachelor Thesis as Advisor)

   • [García, 2018]. Sara García Hevia. On the Finiteness of the Nash equilibria for generic games .   Universidad de Cantabria (Date: July, 2nd, 2018). Advisor: Luis M. Pardo.
   • [Traspuesto, 2017]. Miguel Traspuesto Abascal. Foundations of Cutting Cakes: Lyapunov Theorem and extensions   Universidad de Cantabria (Date: December, 20th, 2017). Advisor: Luis M. Pardo.

Past Teaching Activities (Undergraduate)

1. Grado en "Matématicas" (Plan 2009)

   • Commutative Algebra, (An Introduction)
     Years: 2012/13 (6 ECTS), 2013/14 (6 ECTS), 2014/15 (6 ECTS), 2015/16 (6 ECTS), 2016/17 (6 ECTS), 2017/18 (6 ECTS), 2018/19 (6 ECTS).
     Total= 420 hours.
   • Intrducción al Lenguaje Matemático,
     Years: 2018/19 (3 ECTS).
     Total= 30 hours.

2. Licenciatura en "Matemáticas" (Plan 2000, now extinct)

   • Álgebra Avanzada, (An Introduction to Commutative Algebra).
     Years : 2007/08 (6 ECTS), 2008/09 (6 ECTS), 2009/10 (6 ECTS), 2010/11 (6 ECTS), 2011/12 (6 ECTS).
     Total= 300 hours.
   • Álgebra Computacional I, (An Introduction to Computer Algebra).
     Years : 2004/05 (7.5 ECTS), 2005/06 (3.5 ECTS), 2006/07 (3.5 ECTS).
     Total= 145 hours.
   • Álgebra Lineal II, (An Introduction to Multi-linear Algebra).
     Years : 2004/05 (3 ECTS), 2005/06 (4.5 ECTS), 2006/07 (4.5 ECTS).
     Total= 120 hours.
   • Seminario de Álgebra, (An Introduction to Number Theory).
     Years : 2012/13 (3 ECTS).
     Total= 30 hours.

3. "Ingeniería Informática" (Plan 2005, now extinct)

   • Teoría de Autómatas y Lenguajes Formales, (An Introduction to Automata Theory and Formal Languages).
     Years : 2007/08 (6 ECTS), 2008/09 (6 ECTS), 2009/10 (6 ECTS), 2010/11 (6 ECTS), 2011/12 (4.5 ECTS).
     Total= 285 hours.
   • Introducción a la Lógica, (An Introduction to Logic for Computer Scientists).
     Years : 2006/07 (3 ECTS), 2006/07 (3 ECTS), 2007/08 (1.5 ECTS).
     Total= 75 hours.

4. Licenciatura en "FÍsicas" (Plan 2000, now extinct)

   • Labratorio de Matemáticas, (High School Mathematics for physicists).
     Years : 2004/05 (3 ECTS).
     Total= 30 hours.

5. Licenciatura en "Matemáticas" ( Plan 1979 , now extinct)

   • Álgebra Computacional, (An Introduction to Computer Algebra & Elimination Theory).
     Years : 1996/97 (15 ECTS), 1997/98 (15 ECTS), 1998/99 (7.5 ECTS), 1999/2000 (15 ECTS), 2000/01 (15 ECTS), 2001/02 (15 ECTS), 2002/03 (12 ECTS), 2003/04 (15 ECTS).
     Total= 1095 hours.
   • Álgebra IV (Conmutativa), (Deepening knowledge in Commutative Algebra).
     Years : 1989/90 (12 ECTS), 1990/91 (9 ECTS), 1991/92 (6 ECTS), 1992/93 (7.5 ECTS), 1993/94 (5.3 ECTS), 1995/96 (7.5 ECTS).
     Total= 473 hours.
   • Geometría II, (An Introduction to Affine, Projective and Spheric Geometry).
     Years : 1988/89 (7.5 ECTS), 1989/90 (9 ECTS), 1990/91 (3 ECTS).
     Total= 195 hours.
   • Álgebra III, (An Introduction to Commutative Algebra).
     Years : 1990/91 (2.3 ECTS), 1991/92 (7.5 ECTS), 1993/94 (4.5 ECTS), 1998/99 (4.5 ECTS).
     Total= 188 hours.
   • Álgebra II, (Galois Theory).
     Years : 1984/95 (9 ECTS), 1993/94 (7.5 ECTS).
     Total= 165 hours.
   • Geometría I, (An Introduction to Linear Algebra).
     Years : 1985/86 (3 ECTS), (1992/93 (9 ECTS).
     Total= 120 hours.
   • Topología I, (An Introduction to General Topology & Metric Spaces).
     Years : 1986/87 (6 ECTS).
     Total= 60 hours.
   • Topología II, (An Introduction to Algebraic Topology & Surface Classification).
     Years : 1986/87 (6 ECTS).
     Total= 60 hours.
   • Álgebra I, (An Introduction to Divisibility & Elementary Ring Theory).
     Years : 1985/86 (3 ECTS).
     Total= 30 hours.

6. Licenciatura en "Físicas" (Plan 1975, now extinct)

   • Álgebra Lineal y Geometría, (An Introduction to Linear Algebra for physicists).
     Years : 1987/88 (15 ECTS), 1988/89 (7.5 ECTS), 1995/96 (7.5 ECTS), 1998/99 (3 ECTS).
     Total= 330 hours.

7. Diplomatura en "Marina Civil" (Naval Studies, now extinct)

   • Álgebra Lineal, (An Introduction to Linear Algebra and Spheric Trigonometry).
     Years : 1994/95 (12 ECTS).
     Total= 120 hours.

Past Teaching Activities (Graduate & Doctoral)

1. Master in "Matemáticas y Computación" (Plan 2012)

   • Computational Complexity.
     Years : 2013/14 (3 ECTS), 2014/15 (3 ECTS), 2015/16 (3 ECTS), 2016/17 (3 ECTS), 2017/18 (3 ECTS), 2018/19 (3 ECTS) .
     Total= 180 hours.
   • Métodos Efectivos en Geometría Algebraica (MEGA).
     Years : 2013/14 (1.5 ECTS), 2014/15 (1.5 ECTS), 2015/16 (1.5 ECTS), 2016/17 (3 ECTS), 2018/19 (3 ECTS) .
     Total= 105 hours.

2. Master en "Matemáticas y Computación" (Plan 20007, extinct)

   • Métodos Efectivos en Geometría Algebraica (MEGA).
     Years : 2010/11 (2.3 ECTS), 2011/12 (2.3 ECTS).
     Total= 46 hours.
   • Complejidad Computacional.
     Years : 2008/09 (2.9 ECTS.
     Total= 29 hours.

3. Doctorado en "Matemáticas y sus Aplicaciones" (extinct)

   • Algoritmos Eficaces en Álgebra Computacional.
     Years : 2004/05 (3 ECTS), 2005/06 (3 ECTS), 2007/08 (3 ECTS).
     Total= 90 hours.
   • Álgebra y Algoritmos.
     Years : 2003/04 (0.85 ECTS), 2004/05 (0.85 ECTS).
     Total= 17 hours.

4. Doctorado en "Ciencias Matemáticas" (extinct)

   • Álgebra y Algoritmos.
     Years : 2003/04 (1 ECTS).
     Total= 10 hours.
   • Aspectos Complementarios en Álgebra.
     Years : 2000/01 (0.75 ECTS), 2001/02 (0.75 ECTS), 2002/03 (0.75 ECTS).
     Total= 22.5 hours.
   • Unas "tapas" de Álgebra.
     Years : 1999/2000 (0.6 ECTS).
     Total= 6 hours.
   • Panorámica de Matemáticas 98.
     Years : 1998/99 (3 ECTS).
     Total= 30 hours.
   • Panorámica de Matemáticas 97.
     Years : 1997/98 (3 ECTS).
     Total= 30 hours.
   • Sobre la Complejidad de la Aproximación Diofántica y los Fundamentos del Análisis Numérico.
     Years : 1996/97 (1 ECTS).
     Total= 10 hours.
   • Geometría Diofántica= Geometría Efectiva?.
     Years : 1996/97 (3 ECTS).
     Total= 30 hours.
   • El Continuo y lo Discreto.
     Years : 1995/96 (3 ECTS).
     Total= 30 hours.
   • Teoría de Números y Complejidad.
     Years : 1993/94 (4 ECTS).
     Total= 40 hours.
   • Autómatas, Lenguajes y Complejidad.
     Years : 1991/92 (4 ECTS), 1992/93 (4 ECTS).
     Total= 80 hours.
   • Modelos de Complejidad en Álgebra y Geometría Computacionales.
     Years : 1989/90 (3 ECTS), 1990/91 (3 ECTS).
     Total= 60 hours.
   • Introducción a la Geometría Algebraica Real.
     Years : 1987/88 (3 ECTS), 1988/89 (3 ECTS).
     Total= 60 hours.

# Quinquenios = 6

I have already completed 30 years of positive evaluation in teaching ( 6 periods of 5 yers each, called "quinquenios" in the Spanish academic system) in December 31st, 2014. This is the maximum number of evaluable periods of teaching, although it does not mean that you don't teach anymore at Spanish universities.

Period	Evaluation
1985-1989	Positive
1990-1994	Positive
1995-1999	Positive
2000-2004	Positive
2005-2009	Positive
2010-2014	Positive (and the last one)