Preprints

  1. A probabilistic interpretation for interpolation Macdonald polynomials, with Lauren Williams, arXiv.
  2. A combinatorial formula for Interpolation Macdonald polynomials, with Lauren Williams, arXiv.
  3. Path operators and (q,t)-tau functions , with Valentin Bonzom and Maciej Dołęga, arXiv.
  4. Positive formula for Jack polynomials, Jack characters and proof of Lassalle's conjecture, with Maciej Dołęga, arXiv.

Journal papers

  1. Macdonald characters from a new formula for Macdonald polynomials, with Michele D'Adderio, Selecta Mathematica 32, article 95, 2026, arXiv.
  2. A formula for the Jack super nabla operator, Journal of Algebra 701, pp. 586–615, 2026, arXiv.
  3. A note on the map expansion of Jack polynomials, Electronic Journal of Combinatorics 32(3), article P3.40, 2025, arXiv.
  4. Differential equations for the series of hypermaps with control on their full degree profile, Combinatorial Theory 5(1), article 18, 2025, arXiv.
  5. Integrality in the Matching-Jack conjecture and the Farahat-Higman algebra, Transactions of the American Mathematical Society 376(5), pp. 3641–3662, 2023, arXiv.
  6. Generating series of non-oriented constellations and marginal sums in the Matching-Jack conjecture, Algebraic Combinatorics 5(6), pp. 1299–1336, 2022, arXiv.

Conference papers

These are short versions of some of the journal papers above.

  1. Path operators and (q,t)-tau functions , with Valentin Bonzom and Maciej Dołęga, FPSAC 2025, pdf.
  2. Macdonald characters from a new formula for Macdonald polynomials, with Michele D'Adderio, FPSAC 2024, pdf.
  3. Jack characters as generating series of bipartite maps and proof of Lassalle’s conjecture, with Maciej Dołęga, FPSAC 2023, pdf.
  4. Integrality in the Matching-Jack conjecture and the Farahat-Higman algebra, FPSAC Proceedings, Article 24, 2022 (“best student paper” award), pdf.