Houcine Ben Dali Nom Ben-Dali Prénom Houcine Téléphone Bureau 4057 Mail Houcine.Ben-Dali@irif.fr Page web https://www.irif.fr/~bendali/ 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 Macdonald characters from a new formula for Macdonald polynomials, with Michele D'Adderio, arXiv. Differential equations for the series of hypermaps with control on their full degree profile, arXiv. A note on the map expansion of Jack polynomials, arXiv. Positive formula for Jack polynomials, Jack characters and proof of Lassalle's conjecture, with Maciej Dołęga, 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. arXiv. Generating Series of non-oriented constellations and marginal sums in the Matching-Jack conjecture, Algebraic Combinatorics, 5 (6), pp. 1299-1336, 2022. pdf. Conference papers Macdonald characters from a new formula for Macdonald polynomials, with Michele D'Adderio. FPSAC 2024, to appear, poster. Jack characters as generating series of bipartite maps and proof of Lassalle’s conjecture, with Maciej Dołęga. FPSAC Proceedings, Article 34, 2023 pdf. Integrality in the Matching-Jack conjecture and the Farahat-Higman algebra. FPSAC Proceedings, Article 24, 2022 (“best student paper” award), pdf. Talks Jack polynomials as generating series of non-oriented bipartite maps, 90th Séminaire Lotharingien de Combinatoire, Bad Boll, Germany, September 2023. Jack characters as generating series of bipartite maps and proof of Lassalle’s conjecture, FPSAC 2023, UC Davis, California, July 2023 Jack polynomials and non orientable layered maps (in french), Journée Cartes, Paris, June 2023 Jack polynomials as generating series of non-oriented bipartite maps , workshop Enumerative Combinatorics, Oberwolfach, Germany, December 2022 Integrality in the Matching-Jack conjecture and the Farahat-Higman algebra, FPSAC 2022, Indian institute of Science, Bangalore, India, July 2022. Goulden and Jackson’s b-conjecture and Matching-Jack conjecture, 86th Séminaire Lotharingien de Combinatoire, Bad Boll, Germany, September 2021.