Copyright 2017 - Site designed and maintained by: Ariel Díaz De Armas
  • Functional analysis and operator theory: spectral approximation, operators on graphs, extension of symmetric operators etc.
  • Operator algebras: C*- and von Neumann algebras, crossed products, amenability notions etc.
  • Applications of operator algebras to abstract harmonic analysis, quantum theory etc.
  • Mathematical Physics: mathematical aspects of quantum theory, algebraic quantum field theory etc.

 

Teaching

Academicyear 2017-18

  • Topics in Mathematics, Telecomunication System Engineering (et al.)
  • Master Course: Discrete Mathematics

 

Academic year 2016-17

Academic year 2015-16

  • Calculus I, Telecomunication Systems engineering (et al.)
  • Master Course: Real and Complex Analysis.
  • Organization of the JAE-school of Mathematics 2016, ICMAT

Academic year 2014-15

  • Master Course: Real and Complex Analysis.
  • Master Course: Control Theory and Applications.
  • JAE-intro school 2015: Amenability notions

Academic year 2013-14

  • Calculus II for Industrial Technologies Enginering and Electrical Engineering (opción bilingüe), G30,39 and 59.
  • Master Course: Control Theory and Applications.
  • Organization of the School: Topics in Operator Algebras and Applications, ICMAT, September 2-6, 2013.

Academic year 2012-13

  • Master course: Control Theory and Applications.
  • Calculus II for Industrial Technologies Engineering (opción bilingüe)

Academic year 2011-12

  • Calculus II for Industrial Technologies Engineering, (opción bilingüe).
  • Master course: Control Theory and Applications.

Academic year  2010-11

    • Calculus II for Electrical Engineering, Electrical Power Engineering et al. (opción bilingüe) G.19,29,39 y 59.
    • Advanced course at ICMAT: An introduction to the theory of von Neumann algebras. (for details see here or here)

Año académico 2009-10

  • Calculus II for Bachelor on Mechanical Engineering et al. (opción bilingüe) G. 19,29 y 59
  • Calculus II for Bachelor on Comunication System Engineering et al. (opción bilingüe) G. 65,69 y 79
  • Mini-course on the spectral theorem

Año académico 2008-09

  • Calculus II, I.T.I. Mecánica et al. (opción bilingüe), G. 19,29 y 59
  • Calculus II, I.T.T. Sistemas de Comunicación et al. (opción bilingüe), G. 65,69 y 79
  • Cálculo II, I.T.T. Mecánica, G.13 (problemas)

Año académico 2007-08

  • Cálculo I, I.T.I.: Mecánica, G.42
  • Cálculo II, I.T.T.: Sistemas de Telecomunicación
  • Ampliación de Matemáticas, I.T.T., Telemática

Año académico 2006-07 (segundo cuatrimestre)

  • Cálculo II, I.T.T.: Sistemas de Telecomunicación
  • Ampliación de Matemática, I.T.T., Telemática

 

 


 



 

 

RWTH-Aachen University (Germany)

  • During the period 2001-2007 I was coorganizer of the Mathematical Physics research seminar of the Insitute of Pure and Applied Mathematics.

Academic year 2006-07 (first term)

  • Functional analysis I (exercise lectures)

Academic year 2005-06

  • General topology (lecture and exercises)
  • Seminar for advanced students: spectral and scattering theory for Schroedinger operators
  • Mathematics III for civil engineers et al. (exercise lectures)

Academic year 2004-05

  • Functional analysis I (exercise lectures)
  • Functiona analysis II: unbounded operators (exercise lectures)
  • Mathematics III for civil engineers et al. (exercise lectures)
  • Seminar for advanced students: semi-groups

Academic year 2003-04

  • Mathematics II for civil engineers et al. (exercise lectures)
  • Mathematics III for civil engineers et al. (exercise lectures)

Academic year 2002-03

  • Mathematics I for civil engineers et al. (exercise lectures)
  • Mathematics II for civil engineers et al. (exercise lectures)

Academic year 2001-02

  • Mathematics I for civil engineers et al. (exercise lectures)

Academic year 2000-01

  • Functional analysis I (exercise lectures)
  • Functional analysis II: nonlinear theory (exercise lectures)
  • Seminar for advanced students: Sobolev spaces

 

 


 



 

 

University of Potsdam (Germany)

  • During the period 1995-99 I was co-organizer of the Mathematical Physics research seminar of the Department of Mathematics.

Academic year 1998-99

  • C*-algebras and applications to quantum theory (lecture)
  • Compact Lie groups (execise lectures)

Academic year 1997-98

  • Mathematical methods of quantum theory I (exercise sessions)
  • Functional analysis: spectral theory (exercise sessions)

Academic year 1996-97

  • Commutative and non-commutative harmonic analysis (exercise sessions)
  • Mathematical methods of quantum theory II (exercise sessions)

 


 



 

 

 

 

 



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