Maciej Dołęga

Maciej Dołęga

Associate Professor of Mathematics

Welcome

I am an Associate Professor in the Institute of Mathematics of the Polish Academy of Sciences.

Jointly with Divya Setia and Jacinta Torres we organize the Combinatorics and Interactions seminar. We usually meet on (every other) Tuesday at 14:00 at the Kraków branch of IM PAN. Come and join us!

I obtained my PhD in 2013 at the Uniwersytet Wrocławski under Professor Piotr Śniady. Afterwards, I was a Cartaplus postdoc fellow at the LIAFA (now IRIF), Université Paris 7 during the academic years 2013-2015 and an Assistant Professor as a FUGA IV fellow at the Uniwesytet im. Adama Mickiewicza, Department of Mathematics and Computer Science during the academic years 2015-2018. In 2018-2022 I was working as an Assistant Professor in the Institute of Mathematics of the Polish Academy of Sciences.

My wife Jacinta is also a mathematician.

Interests
  • Combinatorics
  • Enumerative Geometry
  • Representation Theory
  • Probability Theory
  • Mathematical Physics
Education

  • Habilitation in Mathematics, 2022

    Institute of Mathematics of the Polish Academy of Sciences

  • PhD in Mathematics, 2013

    Wrocław University

  • MSc in Mathematics, 2010

    Wrocław University

News

Simons Semester 2027 - Registration OPEN!
Simons Semester Combinatorial Structures, Integrable Probability, and Topological Recursion at IMPAN, Warsaw in May 17 - June 18, 2027. Registration is open - we kindly invite all the interested participants!
Simons Semester 2027 - Registration OPEN!
PhD scholarships!
Check out the details ⬆(click)
PhD scholarships!
Post-doc at IM PAN

My institute has announced its annual open call for temporary research positions for young mathematicians in all fields of mathematics. Feel free to contact me if you’re interested in joining my group in Kraków!

Post-doc at IM PAN
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Preprints and Journal Papers

Crystallization of discrete $N$-particle systems at high temperature
Cesar Cuenca, Maciej Dołęga
arXiv:2510.23496.
Cite arXiv
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.
Cite arXiv
Path operators and $(q,t)$-tau functions
Discrete $N$-particle systems at high temperature through Jack generating functions
Cesar Cuenca, Maciej Dołęga
Proc. Lond. Math. Soc. (3) 133 (4), e70223, 2026.
Cite DOI arXiv
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.
Cite DOI arXiv
$\mathfrak{b}$-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.
Cite arXiv
$b$-Hurwitz numbers from Whittaker vectors for $\mathcal{W}$-algebras
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Conference Papers

Maciej Dołęga (2026). Discrete $N$-particle systems at high temperature and weighted Łukasiewicz paths. Oberwolfach Rep., 23 (2026), no. 1, Report 2/2026 (Enumerative Combinatorics).

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Houcine Ben Dali, Valentin Bonzom, Maciej Dołęga (2025). $(q,t)$-Tau Functions and Path Operators. Sém. Lothar. Combin., 93B.67, 12 pp., 2025.

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Maciej Dołęga (2022). $b$-Hurwitz numbers and enumeration of maps. Oberwolfach Rep., 19 (2022), no. 4, Report 57/2022 (Enumerative Combinatorics).

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Houcine Ben Dali, Maciej Dołęga (2022). Jack characters as generating series of bipartite maps and proof of Lassalle's conjecture. Sém. Lothar. Combin., 89B.34, 12 pp., 2023.

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Guillaume Chapuy, Maciej Dołęga (2020). Non-orientable branched coverings, $b$-Hurwitz numbers, and positivity for multiparametric Jack expansions (extended abstract). Sém. Lothar. Combin., 85B.32, 13 pp., 2021.

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Contact

  • mdolega@impan.pl
  • św. Tomasza 30/7, Kraków, 31-027
  • Enter Building 30 and take the stairs/elevator to the apartment 7 on Floor 2
  • Tuesday 10:00 to 12:00
    Thursday 10:00 to 12:00