Copyright 2018 - Site designed and maintained by: Ariel Díaz De Armas

Profesor Titular de Universidad
(Associate Professor)

Office: 2.2 A09 (Edificio Sabatini)
Phone: +34 916248827
E-Mail: flledo (at)

Short Curriculum Vitae:

Education:Theoretical Phyics and Mathematics studies, Univ. Autónoma de Madrid, (1985-91). Mathematics studies at TU-Berlin and Humboldt Univ. Berlin (92-94). Ph.D. in Mathematics, Univ. of Potsdam, Germany (99). Habilitation in Mathematics and Privatdozent degree, RWTH-Aachen Univ., Germany (05).

Positions: Wiss. Assitent, Dept. of Mathematics, Univ. Potsdam, Germany (95-99). Scientist in the division of Geometric Analysis, Max Planck Institute, Albert Einstein, Potsdam, Germany (00). Wiss. Assistent and Privatdozent, RWTH-Aachen Univ., Germany (01-09). Visiting Prof., Department of Mathematics, Univ. Carlos III, Madrid, (07-09). Ramón y Cajal researcher, Univ. Carlos III, Madrid (09). Associate Professor, Department of Mathematics, Univ. Carlos III, Madrid (since 12/2009). Since 2013, staff of the Instituto de Ciencias Matemáticas (ICMAT), Madrid.

Prizes/evaluations: Michelson Prize, Science Faculty, Univ. Potsdam, (99). Acreditación ANECA: associate professor (08). Research certificate I3, Ministerio de Ciencia e Innovación, Spain (09).



  • 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.



Academicyear 2017-18

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


Academic year 2016-17


· Submitted


· Books

  1. P. Ara, F. Lledó and F. Perera (eds.), Aspects of Operator Algebras and Applications , Contemporary Mathematics Vol. 534, American Mathematical Society, Providence, Rhode Island, 2011.

· Chapters in books (refereed)

  1. P. Ara, F. Lledó and D.V. Yakubovich, Foelner sequences in Operator Theory and Operator Algebras, Opererator Theory Advances and Applications, Vol. 242, Birkhäuser Verlag, Basel, 2014; pp. 1-24. arXiv: math.OA/1303.3392
  2. F. Lledó, Modular Theory by example, Contemporary Mathematics, Vol. 534, American Mathematical Society,Providence, Rhode Island, 2011; pp. 73-96.  math.OA/0901.1004
  3. P. Ara, F. Lledó and F. Perera, Basic definitions and results for operator algebras, Contemporary Mathematics, Vol. 534, American Mathematical Society, Providence, Rhode Island, 2011; pp. 157-167.
  4. F. Lledó and O. Post, Generating spectral gaps by geometry, Contemporary Mathematics, Vol. 437, American Mathematical Society, Providence, Rhode Island, 2007; pp. 159-170. math-ph/0406032
  5. H. Baumgärtel and F. Lledó, An application of the DR-duality theory for compact groups to endomorphism categories of C*-algebras with nontrivial center, Fields Institute Communications, Vol. 30,  American Mathematical Society, Providence, Rhode Island 2001; pp.1-10. math.OA/0012037
  6. H. Baumgärtel and F. Lledó, Some results on superselection structures for C*-algebras with nontrivial center, In: Group 21, Proceedings of the XXI Int. Colloquium on Group Theoretical Methods in Physics, H.D.-Doebner et al. (Eds.), World Scientific, Singapore, 1997.

· Refereed journals

  1. P. Ara, K. Li, F. Lledó and J. Wu, Amenability of coarse spaces and K-algebras , 2017,  Bulletin of Mathematical Sciences, doi: 10.1007/s13373-017-0109-6 ; arXiv: math.RA/1607.00328
  2. J. S. Fabila-Carrasco, F. Lledó and O. Post, Spectral gaps and discrete magnetic Laplacians, Linear Algebra and its Applications  547 (2018) 183-216; doi: 10.1016/j.laa.2018.02.006  ;   arXiv: math.CO/1710.01157
  3. P. Ara, K. Li, F. Lledó and J. Wu, Amenability and uniform Roe algebras, Journal Mathematical Analysis and Applications 459 (2018) 686-716; doi: 10.1016/j.jmaa.2017.10.063 ,  arXiv: math.OA/1706.04875
  4. A. Ibort, F. Lledó and J.M. Pérez-Pardo, Self-adjoint extensions of the Laplace-Beltrami operator and unitaries on the boundary, Journal of Functional Analysis, 268 (2015) 634–670, doi: 10.1016/j.jfa.2014.10.013, arXiv: math.SP: 1308.0527
  5. A. Ibort, F. Lledó and J.M. Pérez-Pardo, On self-adjoint extensions and symmetries in Quantum Mechanics, Annales Henri Poincaré, 16 (2015) 2367-2397; doi: 10.1007/s00023-014-0379-4, arXiv:math-ph/1402.5537
  6. P. Ara and F. Lledó, Amenable traces and Foelner C*-algebras, Expositiones Mathematicae, 32 (2014) 161-177, doi: 10.1016/j.exmath.2013.10.002 ;  arXiv: math.OA/1206.1488
  7. F. Lledó and D.V. Yakubovich, Foelner sequences and finite operators, Journal of Mathematical Analyisis and Applications, 403 (2013) 464-476. doi: 10.1016/j.jmaa.2013.02.037 .  arXiv: math.OA/1210.1380
  8. F. Lledó, On spectral approximation, Foelner sequences and crossed products, Journal of Approximation Theory 170 (2013) 155-171. doi: 10.1016/j.jat.2012.10.003  .  arXiv:math.FA/1008.1151 (preprint: CRM-1059).
  9. F. Lledó and Ezio Vasselli, On the nuclearity of certain Cuntz-Pimsner algebras, Mathematische Nachrichten 283 (2010) 752 – 757.
  10. F. Lledó and O. Post, Spectral approximation for discrete and metric graphs: summary of results, Actas del Colloquium 2011:  Publicaciones del Dpto. Análisis Matemático-UCM, Sección 1; Núm. 77,  pág. 69–74..
  11. F. Lledó and Ezio Vasselli, Realization of minimal C*-dynamical systems in terms of Cuntz-Pimsner algebras, International Journal of Mathematics 20 (2009) 751-790.
  12. F. Lledó and O. Post, Eigenvalue bracketing for discrete and metric graphs, Journal of Mathematical Analysis and Applications 348 (2008) 806-833.
  13. F. Lledó and O. Post, Existence of spectral gaps, covering manifolds and residually finite groups, Reviews in Mathematical Physics 20 (2008) 199-231.
  14. H. Baumgärtel and F. Lledó, Duality of compact groups and Hilbert C*-systems for C*-algebras with a nontrivial center, International Journal of Mathematics 15 (2004) 759-812.
  15. F. Lledó, Massless relativistic wave equations and quantum field theory, Annales Henri Poincaré 5 (2004) 607-670
  16. H. Baumgärtel, M. Jurke and F. Lledó, Twisted duality of the CAR-Algebra, Journal of Mathematical Physics 43 (2002) 4158-4179.
  17. H. Baumgärtel and F. Lledó, Dual group actions on C*-algebras and their description by Hilbert extensions, Mathematische Nachrichten 239-240 (2002) 11-27.
  18. F. Lledó, Conformal covariance of massless free nets, Reviews in Mathematical Physics 13 (2001) 1135-1161.
  19. H. Grundling and F. Lledó, Local quantum constraints, Reviews in Mathematical Physics 12 (2000) 1159-1218.
  20. F. Lledó, A family of examples with quantum constraints, Letters in Mathematical Physics 40 (1997), 223-234. (ps-file)
  21. H. Baumgärtel and F. Lledó, Superselection structures for C*-algebras with nontrivial center, Reviews in Mathematical Physics 9 (1997) 785-819. (ps-file)
  22. H. Baumgärtel, M. Jurke and F. Lledó, On free nets over Minkowski space, Reports on Mathematical Physics 35 (1995), 101-127.

· Preprints

  1. F. Lledó, Operator algebras: an informal overview, preprint 2009 (CRM-1060).

· Thesis

  1. F. Lledó, Operatoralgebraic methods in mathematical physics: duality of compact groups and gauge quantum field theory, Habilitationschrift, RWTH Aachen, September 2004.
  2. F. Lledó, Algebraic properties of massless free nets, Ph.D.-thesis, University of Potsdam, 1999.

· Book reviews, reviews

  1. F. Lledó, Book review: Contributions to Operator Theory in Spaces with an Indefinite Metric. The Heinz Langer Anniversary Volume. A.Dijksma, I. Gohberg, M.A. Kaashoek and R. Mennicken (Eds.), Birkhäuser, Basel, 1998.
    General Relativity and Gravitation 31 (1999), 1809-1811. (ps-file)
  2. F. Lledó, Book review: Detlef Lehmann, Mathematical methods of many-body quantum field theory, Chapman & Hall/CRC Reasearch Notes in Mathematics 436, Boca Raton, FL., 253 p. (2005).
    Zentralblatt MATH, Springer Verlag, 2005, (Zbl 02118484).
  3. Reviews for Mathematical Reviews, American Mathematical Society.
  4. Reviews for Zentralblatt MATH, Springer Verlag.

· Articles in newspapers, reports

  1. Artículo, Sección Café y Teoremas, El Pais 08/06/2017: Dándole vueltas al infinito.
  2. Presentación de la Escuela Jae de Matemáticas 2017
  3. Blog: Matemáticas y sus fronteras. Entrada: 02/09/2013
  4. P. Ara, F. Lledó and F. Perera, Escuela de Matematicas Lluis Santaló 2008. Álgebras de operadores: un campo de investigación interdisciplinar., (School of Mathematics Lluis Santaló 2008. Operator algebras: an interdisciplinary research field.) La Gaceta de la RSME , 11 (2008), p.641-646.
  5. F. Lledó, La sutil relación de las matemáticas con la física, (The subtle relation of mathematics with physics) Newspaper El Pais (Science tribune), 30/08/2006, p. 24. (On the occation of the ICM2006 in Madrid).
  6. F. Lledó, Contribution to the section: Through the eyes of a visitor, Max-Planck-Institute for Gravitational Physics, Albert Einstein Institute, Annual Report, 2000, pp. 49-50.

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