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.

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 degree for Maciej Kowalski!
I am very happy to share the news that Maciej Kowalski has successfully defended his PhD thesis, The combinatorial structure of cumulants of symmetric functions, at the Institute of Mathematics of the Polish Academy of Sciences.
PhD degree for Maciej Kowalski!
PhD scholarships!
Check out the details ⬆(click)
PhD scholarships!
GRADuate International School in COmbinatorics
Here you can find the references, exercises, and my notes for the lectures on asymptotic combinatorics given at the GRADuate International School in COmbinatorics.
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Journal Papers

$b$-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
Positive formula for Jack polynomials, Jack characters and proof of Lassalle's conjecture
Houcine Ben Dali, Maciej Dołęga
arXiv:2305.07966.
Cite arXiv
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
arXiv:2304.04089.
Cite arXiv
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.
Cite DOI arXiv
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.
Cite DOI arXiv
LLT Cumulants and Graph Coloring
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Conference Papers

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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Maciej Dołęga (2017). A combinatorial formula for Macdonald cumulants. Sém. Lothar. Combin., 80B.41, 12 pp., 2018.

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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