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.

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.

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!

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

PhD scholarships!
Sep 11, 2026 2 min read
PhD scholarships!
Post-doc at IM PAN
Mar 16, 2026 1 min read
Post-doc at IM PAN
Refinements in Enumerative Geometry and Physics 2026 - Registration OPEN!
Jan 22, 2026 1 min read
Refinements in Enumerative Geometry and Physics 2026 - Registration OPEN!
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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
arXiv:2502.13098.
Cite 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

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 Reports, Report 57/2022.

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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, 12 pp., 2021.

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Maciej Dołęga, Thomas Gerber, Jacinta Torres (2019). A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I: Rows. Sém. Lothar. Combin., 84B.60, 12 pp., 2020.

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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