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===== Houcine Ben Dali ======


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From September 1st 2021, I am a PhD student in IECL (Université de Lorraine) and IRIF (Université de Paris) working with Valentin Féray and Guillaume Chapuy. I am interested in algebraic combinatorics.

==== Publications ====
== Preprints ==
  *//Differential equations for the series of hypermaps with control on their full degree profile, //{{https://arxiv.org/abs/2402.14668|arXiv}}.
  *//A note on the map expansion of Jack polynomials//, {{https://arxiv.org/abs/2310.17756|arXiv}}.
  *//Positive formula for Jack polynomials, Jack characters and proof of Lassalle's conjecture//, with Maciej Dołęga {{https://arxiv.org/abs/2305.07966|arXiv}}.
==Journal papers==
  * //Integrality in the Matching-Jack conjecture and the Farahat-Higman algebra//, Transactions of the American Mathematical Society, 376(05), pp. 3641-3662, 2023. {{ 
 https://arxiv.org/abs/2203.14879 |arXiv}}.
  * //Generating Series of non-oriented constellations and marginal sums in the Matching-Jack conjecture//, Algebraic Combinatorics, 5 (6), pp. 1299-1336, 2022. {{ :users:bendali:generating_series.pdf| pdf}}.
== Conference papers ==
  * //Jack characters as generating series of bipartite maps and proof of Lassalle’s conjecture//, with Maciej Dołęga, FPSAC 2023 {{ :users:bendali:fpsac_2023.pdf |pdf}}
  * //Integrality in the Matching-Jack conjecture and the Farahat-Higman algebra//, FPSAC Proceedings, Article 24, 2022 ("best student paper" award) {{ :users:bendali:integrality_in_matching_jack_fpsac_4_.pdf |pdf}}.
==Talks==
  *{{:users:bendali:slc_september_2023_2.pdf |Jack polynomials as generating series of non-oriented
bipartite maps}}, 90th Séminaire Lotharingien de Combinatoire, Bad Boll, Germany, September 2023.
  * {{FPSAC_2023_presentation.pdf|Jack characters as generating series of bipartite maps and proof of Lassalle’s conjecture}}, FPSAC 2023, UC Davis, California, July 2023
  * {{ :users:bendali:journee_cartes_23_2_.pdf | Jack polynomials and non orientable layered maps (in french)}}, Journée Cartes, Paris, June 2023
  * {{ :users:bendali:oberwolfach_2022.pdf | Jack polynomials as generating series of non-oriented
bipartite maps }}, workshop Enumerative Combinatorics, Oberwolfach, Germany, December 2022
  * {{ :users:bendali:fpsac_2022_presentation.pdf |Integrality in the Matching-Jack conjecture and the Farahat-Higman algebra}}, FPSAC 2022, Indian institute of Science, Bangalore, India, July 2022.
  * {{ :users:bendali:slc_bad_boll_2021.pdf|Goulden and Jackson’s
b-conjecture and Matching-Jack conjecture}}, 86th Séminaire Lotharingien de Combinatoire, Bad Boll, Germany, September 2021.