Departement de Mathematique d'Orsay
Département de Mathématiques d'Orsay
Amaury Freslon
Université Paris-Sud XI
Institut de Mathématique d'Orsay - Bâtiment 307
91405 Orsay Cedex
France


Courrier électronique :
Bureau : 2L22 Bât. 307
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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

  • Positive definite functions and cut-off for discrete groups, ArXiv preprint pdf.
  • Abstract
  • Topological generation and matrix models for quantum reflection groups (with M. Brannan and A. Chirvasitu), ArXiv preprint pdf.
  • Abstract

Publications

  1. On two-coloured noncrossing quantum groups, Trans. Amer. Math. Soc. 372 (2019), no 6, 4471-4508 : link and pdf (old version).
  2. Abstract
  3. On the representation theory of some noncrossing partition quantum groups, to appear in Algebr. Represent. Theory. : link and pdf (old version).
  4. Abstract
  5. Quantum reflections, random walks and cut-off, Internat. J. Math. 29 (2018), no 14, 1850101 : link and pdf (old version).
  6. Abstract
  7. Cut-off phenomenon for random walks on free orthogonal quantum groups, Probab. Theory Related Fields 174 (2019), no3-4, 731-760 : link and pdf (old version).
  8. Abstract
  9. Torsion and K-theory for some free wreath products (with R. Martos), Int. Math. Res. Not. (2018), rny071 : link and pdf (old version).
  10. Abstract
  11. Modelling questions for quantum permutations (with T. Banica), Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21 (2018), no 2, 1-26 : link and pdf (old version).
  12. Abstract
  13. 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).
  14. Abstract
  15. Wreath products of finite groups by quantum groups (with A. Skalski), J. Noncommut. Geom. 12 (2018), no 1, 29-68 : link and pdf (old version).
  16. Abstract
  17. 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).
  18. Abstract
  19. On bi-free De Finetti theorems (with M. Weber), Ann. Math. Blaise Pascal 23 (2016), no 1, 21-51 : link and pdf (old version).
  20. Abstract
  21. Permanence of approximation properties for discrete quantum groups, Ann. Inst. Fourier 65 (2015), no 4, 1437-1467 : link and pdf (old version).
  22. Abstract
  23. Fusion (semi)rings arising from quantum groups, J. Algebra 417 (2014), 161-197 : link and pdf (revised version).
  24. Abstract
  25. 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).
  26. Abstract
  27. Graphs of quantum groups and K-amenability (with P. Fima), Adv. Math. 260 (2014), 233-280 : link and pdf (old version).
  28. Abstract
  29. 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).
  30. Abstract
  31. Examples of weakly amenable discrete quantum groups, J. Funct. Anal. 265 (2013), no 9, 2164-2187 : link and pdf (old version).
  32. Abstract
  33. 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).
  34. Abstract

Dissertation

  • Approximation properties for discrete quantum groups (PhD thesis) : pdf.
  • 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 english) from a lecture series on Applications of noncrossing partitions to quantum groups given during the Masterclass Quantum groups and subfactors in Copenhagen..
  • Notes (in english) from a talk on the Cut-off for quantum random walks.
  • 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 the Elliott program.
  • 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