Publications
Preprints
- A probabilistic interpretation for interpolation Macdonald polynomials, with Lauren Williams,
arXiv.
- A combinatorial formula for Interpolation Macdonald polynomials, with Lauren Williams,
arXiv.
- A formula for the Jack super nabla operator,
arXiv.
- Path operators and (q,t)-tau functions , with Valentin Bonzom and Maciej Dołęga,
arXiv.
- Macdonald characters from a new formula for Macdonald polynomials, with Michele D'Adderio,
arXiv.
-
Positive formula for Jack polynomials, Jack characters and proof of
Lassalle's conjecture, with Maciej Dołęga,
arXiv.
Journal papers
-
A note on the map expansion of Jack polynomials, Electronic Journal of Combinatorics 32(3), pp. 3–40, (2025),
arXiv.
- Differential equations for the series of hypermaps with control on their full degree profile,
Combinatorial Theory, 5(1), pp. 18–46,
2025,
arXiv.
-
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, arXiv.
Conference papers
These are short versions of some of the journal papers above.
- Path operators and (q,t)-tau functions , with Valentin Bonzom and Maciej Dołęga,
FPSAC 2025, pdf.
- Macdonald characters from a new formula for Macdonald polynomials, with Michele D'Adderio, FPSAC 2024,
pdf.
-
Jack characters as generating series of bipartite maps and proof of Lassalle’s conjecture,
with Maciej Dołęga, FPSAC 2023,
pdf.
-
Integrality in the Matching-Jack conjecture and the Farahat-Higman algebra,
FPSAC Proceedings, Article 24, 2022 (“best student paper” award),
pdf.