Bienvenue sur la page web professionnelle de Thomas Gobet

Professeur à l'Université Clermont Auvergne

thomas.gobet [ à table ] uca.fr


Quelques responsabilités

Organisation de conférences ou colloques

Etudiants en thèse

Publications

Published versions may differ from arxiv versions. If you need a copy of one of the following papers please send me an email.

  1. Categorification of the Temperley-Lieb algebra by bimodules, Journal of Algebra 419 (2014), 277-317. arxiv. talk.
  2. Noncrossing partitions and Bruhat order (with Nathan Williams), European Journal of Combinatorics 53 (2016), 8-34. arxiv. talk.
  3. Noncrossing partitions, fully commutative elements and bases of the Temperley-Lieb algebra, Journal of Knot Theory and its Ramifications 25 (2016), no. 6, 27 pp. arxiv. talk.
  4. Dual braid monoids, Mikado braids and positivity in Hecke algebras (with François Digne), Math. Z. 285 (2017), no. 1-2, 215-238. arxiv. talk.
  5. On the Hurwitz action in finite Coxeter groups (with Barbara Baumeister, Kieran Roberts, Patrick Wegener), Journal of Group Theory 20 (2017), no.1, 103-131. Link to the computer programs we used in this paper. arxiv. talk.
  6. Twisted filtrations of Soergel bimodules and linear Rouquier complexes Journal of Algebra 484 (2017), 275-309. arxiv. talk.
  7. On cycle decompositions in Coxeter groups, Séminaire Lotharingien de Combinatoire 78B (2017), Article #45, 12 pp. arxiv. talk.
  8. Simple dual braids, noncrossing partitions and Mikado braids of type D_n (with Barbara Baumeister), Bull. of the London Math. Soc. 49 (2017), no. 6, 1048-1065. arxiv. talk.
  9. On generalized categories of Soergel bimodules in type A_2 (with Anne-Laure Thiel), C. R. Acad. Sci. 356 (2018), no. 3, 258-263. arxiv.
  10. Dual Garside structures and Coxeter sortable elements, J. Comb. Algebra 4 (2020), 167-213. arxiv. talk.
  11. A Soergel-like category for complex reflection groups of rank one (with Anne-Laure Thiel), Math. Z. 295, 643–665 (2020). arxiv. talk.
  12. Coxeter-Catalan combinatorics and Temperley-Lieb algebras, Algebr. Represent. Theory 24 (2021), 169-201. arxiv.
  13. Braid groups of normalizers of reflection subgroups (with Anthony Henderson and Ivan Marin), Ann. Inst. Fourier 71 (2021), no. 6, 2273-2304. arxiv.
  14. Parametrization, structure and Bruhat order of certain spherical quotients (with Pierre-Emmanuel Chaput and Lucas Fresse), Represent. Theory 25 (2021), 935-974. arxiv. colloquium style talk.
  15. On some torus knot groups and submonoids of the braid groups, Journal of Algebra 607 (2022), Part B, 260-289. arxiv. talk. Addendum.
  16. Hecke algebras of normalizers of parabolic subgroups (with Ivan Marin), Algebr. Represent. Theory 26 (2023), no. 5, 1609-1639. arxiv.
  17. A new Garside structure on torus knot groups and some complex braid groups, J. Knot Theory Ramifications 32 (2023), no. 13, Paper No. 2350094, 39 pp.
  18. Toric reflection groups, J. Aust. Math. Soc. 116 (2024), no. 2, 171-199.
  19. Non symmetric Cauchy kernel, crystals and last passage percolation (with Olga Azenhas and Cédric Lecouvey), Tunis. J. Math. 6 (2024), no. 2, 249-297.
  20. Odd and even Fibonacci lattices arising from a Garside monoid (with Baptiste Rognerud), Algebra Universalis 85 (2024), no. 4, Paper No. 39. 
  21. On maximal dihedral reflection subgroups and generalized noncrossing partitions, Proc. Amer. Math. Soc. 152 (2024), no. 10, 4095-4101. arxiv.
  22. Elements of minimal length and Bruhat order and fixed point cosets of Coxeter groups with Nathan Chapelier), to appear in Algebraic Combinatorics.    

Bref CV