Publications

Crystallization of discrete $N$-particle systems at high temperature
Cesar Cuenca, Maciej Dołęga
arXiv:2510.23496.
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Crystallization of discrete $N$-particle systems at high temperature
Path operators and $(q,t)$-tau functions
Houcine Ben Dali, Valentin Bonzom, Maciej Dołęga
arXiv:2506.06036.
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Path operators and $(q,t)$-tau functions
Discrete $N$-particle systems at high temperature through Jack generating functions
Cesar Cuenca, Maciej Dołęga
arXiv:2502.13098 to appear in Proc. Lond. Math. Soc.
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Discrete $N$-particle systems at high temperature through Jack generating functions
$\mathfrak{b}$-Hurwitz numbers from refined topological recursion
Nitin K. Chidambaram, Maciej Dołęga, Kento Osuga
Math. Ann. 394, 103, 2026.
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$\mathfrak{b}$-Hurwitz numbers from refined topological recursion
$b$-Hurwitz numbers from Whittaker vectors for $\mathcal{W}$-algebras
Nitin K. Chidambaram, Maciej Dołęga, Kento Osuga
arXiv:2401.12814.
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$b$-Hurwitz numbers from Whittaker vectors for $\mathcal{W}$-algebras
Positive formula for Jack polynomials, Jack characters and proof of Lassalle's conjecture
Houcine Ben Dali, Maciej Dołęga
arXiv:2305.07966.
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Positive formula for Jack polynomials, Jack characters and proof of Lassalle's conjecture
Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures
Cesar Cuenca, Maciej Dołęga, Alexander Moll
Ann. Probab. 54 (1), 421–488, 2026.
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Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures
Procesi's Conjecture on the Formanek-Weingarten Function is False
Maciej Dołęga, Jonathan Novak
C. R. Math. Acad. Sci. Paris, 360, 1169-1172, 2022.
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Procesi's Conjecture on the Formanek-Weingarten Function is False
LLT Cumulants and Graph Coloring
Maciej Dołęga, Maciej Kowalski
Electron. J. Combin., 29(4), Paper 4.5, 2022.
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LLT Cumulants and Graph Coloring
Enumeration of non-oriented maps via integrability
Valentin Bonzom, Guillaume Chapuy, Maciej Dołęga
Algebr. Comb., 5, no. 6, pp. 1363-1390, 2022.
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Enumeration of non-oriented maps via integrability
$b$-monotone Hurwitz numbers: Virasoro constraints, BKP hierarchy, and $O(N)$-BGW integral
Valentin Bonzom, Guillaume Chapuy, Maciej Dołęga
Int. Math. Res. Not. IMRN, 14, 12172-12230, 2023.
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$b$-monotone Hurwitz numbers: Virasoro constraints, BKP hierarchy, and $O(N)$-BGW integral
Blobbed topological recursion of the quartic Kontsevich model II: Genus=0
Alexander Hock, Raimar Wulkenhaar, Maciej Dołęga
Ann. Inst. Henri Poincaré D, 12, no. 3, 545–619, 2025.
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Blobbed topological recursion of the quartic Kontsevich model II: Genus=0
Reflection length with two parameters in the asymptotic representation theory of type B/C and applications
J. Funct. Anal., 284 (5), 109797, 2023.
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Reflection length with two parameters in the asymptotic representation theory of type B/C and applications
Non-orientable branched coverings, $b$-Hurwitz numbers, and positivity for multiparametric Jack expansions
Guillaume Chapuy, Maciej Dołęga
Adv. Math., 409, 108645, 2022.
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Non-orientable branched coverings, $b$-Hurwitz numbers, and positivity for multiparametric Jack expansions
Blossoming bijection for bipartite pointed maps and parametric rationality of general maps of any surface
Maciej Dołęga, Mathias Lepoutre
Adv. in Appl. Math., 141, Paper No. 102408, 2022.
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Blossoming bijection for bipartite pointed maps and parametric rationality of general maps of any surface
A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I: Rows
Maciej Dołęga, Thomas Gerber, Jacinta Torres
J. Algebra, 560, 1253-1296, 2020.
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A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I: Rows
Macdonald cumulants, $G$-inversion polynomials and $G$-parking functions
Maciej Dołęga
European J. Combin., 75, 172-194, 2019.
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Macdonald cumulants, $G$-inversion polynomials and $G$-parking functions
Gaussian fluctuations of Jack-deformed random Young diagrams
Maciej Dołęga, Piotr Śniady
Probab. Theory Related Fields, 174 (1–2), 133–176, 2019.
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Gaussian fluctuations of Jack-deformed random Young diagrams
Strong factorization property of Macdonald polynomials and higher-order Macdonald's positivity conjecture
Maciej Dołęga
J. Algebraic Combin., 46 (1), 135-163, 2017.
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Strong factorization property of Macdonald polynomials and higher-order Macdonald's positivity conjecture
Top degree part in $b$-conjecture for unicellular bipartite maps
Maciej Dołęga
Electron. J. Combin., 24 (3), Paper 3.24, 2017.
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Top degree part in $b$-conjecture for unicellular bipartite maps
Cumulants of Jack symmetric functions and the $b$-conjecture
Maciej Dołęga, Valentin Féray
Trans. Amer. Math. Soc., 369 (12), 9015–9039, 2017.
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Cumulants of Jack symmetric functions and the $b$-conjecture
A bijection for rooted maps on general surfaces
Guillaume Chapuy, Maciej Dołęga
J. Combin. Theory Ser. A, 145, 252–307, 2017.
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A bijection for rooted maps on general surfaces
Gaussian fluctuations of Young diagrams and structure constants of Jack characters
Maciej Dołęga, Valentin Féray
Duke Math. J., 165 (7), 1193-1282, 2016.
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Gaussian fluctuations of Young diagrams and structure constants of Jack characters
Jack polynomials and orientability generating series of maps
Maciej Dołęga, Valentin Féray, Piotr Śniady
Sém. Lothar. Combin., B70j, 50 pp. (electronic), 2014.
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Jack polynomials and orientability generating series of maps
Asymptotics of characters of symmetric groups: structure of Kerov character polynomials
Maciej Dołęga, Piotr Śniady
J. Combin. Theory Ser. A, 119 (6), 1174-1193, 2012.
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Asymptotics of characters of symmetric groups: structure of Kerov character polynomials
Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations
Maciej Dołęga, Valentin Féray, Piotr Śniady
Adv. Math., 225 (1), 81-120, 2010.
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Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations