Departement de Mathematique d'Orsay
Département de Mathématiques d'Orsay
Amaury Freslon
Université Paris-Sud XI
Laboratoire de Mathématiques - Bâtiment 425
91405 Orsay Cedex
France


Courrier électronique :
Bureau : 19 Bât. 430
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I am currently Maître de Conférence at Université Paris-Sud in the Topology and dynamics team. My research field is operator algebras. I am particulary interested in the study of discrete quantum groups, their structure and properties.

Here is my CV in english and in french.

Si vous cherchez ma page d'enseignement, elle se trouve ici.


Preprints

  • Cut-off phenomenon for random walks on free orthogonal quantum groups ArXiv preprint pdf.
  • Abstract
  • Torsion and K-theory for some free wreath products (with R. Martos) ArXiv preprint pdf.
  • Abstract
  • On two-coloured noncrossing quantum groups, ArXiv preprint pdf.
  • Abstract
  • Modelling questions for quantum permutations (with T. Banica), ArXiv preprint pdf.
  • Abstract

Publications

  1. The radial MASA in free orthogonal quantum groups (with R. Vergnioux), J. Funct. Anal. 271 (2016), no 10, 2776-2807: link and pdf (old version).
  2. Abstract
  3. Wreath products of finite groups by quantum groups (with A. Skalski), to appear in J. Noncommut. Geom. : link and pdf (old version).
  4. Abstract
  5. On the partition approach to Schur-Weyl duality and free quantum groups (with an appendix by A. Chirvasitu), Transform. Groups 22 (2017), no 3, 707-751 : link and pdf (old version).
  6. Abstract
  7. On bi-free De Finetti theorems (with M. Weber), Ann. Math. Blaise Pascal 23 (2016), no 1, 21-51 : link and pdf (old version).
  8. Abstract
  9. Permanence of approximation properties for discrete quantum groups, Ann. Inst. Fourier 65 (2015), no 4, 1437-1467 : link and pdf (old version).
  10. Abstract
  11. Fusion (semi)rings arising from quantum groups, J. Algebra 417 (2014), 161-197 : link and pdf (revised version).
  12. Abstract
  13. On the representation theory of partition (easy) quantum groups (with M. Weber), J. Reine Angew. Math. 720 (2016), 155-197 : link and pdf (old version).
  14. Abstract
  15. Graphs of quantum groups and K-amenability (with P. Fima), Adv. Math. 260 (2014), 233-280 : link and pdf (old version).
  16. Abstract
  17. CCAP for universal discrete quantum groups (with K. De Commer and M. Yamashita, with an appendix by S. Vaes), Comm. Math. Phys. 331 (2014), no 2, 677-701 : link and pdf (old version).
  18. Abstract
  19. Examples of weakly amenable discrete quantum groups, J. Funct. Anal. 265 (2013), no 9, 2164-2187 : link and pdf (old version).
  20. Abstract
  21. A note on weak amenability for free products of discrete quantum groups, C. R. Acad. Sci. Paris 350 (2012), no 7-8, 403-406 : link and pdf (old version).
  22. Abstract
  23. Approximation properties for discrete quantum groups (PhD thesis) : pdf.
  24. Abstract

Books

  1. Mathématiques, exercices incontournables - MPSI (avec J. Freslon, M. Hézard and J. Poineau), lien.
  2. Mathématiques, exercices incontournables - PCSI/PTSI (avec J. Freslon, M. Hézard and J. Poineau), lien.

Other documents

  • Notes (in french) from a talk on Partition algebras and free quantum groups.
  • Notes (in french) from a talk on Approximation properties for quantum groups.
  • An introduction (in french) to C*-simplicity.
  • An exposition (in french) of A. Connes' result on the fundamental group of a property (T) factor.



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Département de Mathématiques
, Université Paris-Sud, Bât. 425, F-91405 Orsay Cedex ,France