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

XXIV International Workshop for Young Mathematicians

Here You can find references and my notes for the lectures about asymptotic representation theory (and its combinatorial aspects) given at the XXIV International Workshop for Young Mathematicians “Representation Theory”.

Summer School in Algebraic, Asymptotic and Enumerative Combinatorics

I am co-organizing the Summer School in Algebraic, Asymptotic and Enumerative Combinatorics in 2023 in Będlewo (you can also check the website of the previous edition).

Kraków Combinatorics Seminar

I am co-organizing the Kraków Combinatorics Seminar. You can check our schedule on our website. If you would like to receive a remainder on our meetings, please let me know and I will add you to our subscription list.

Journal Papers

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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Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures

Cesar Cuenca, Maciej Dołęga, Alexander Moll

arXiv:2304.04089.

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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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LLT Cumulants and Graph Coloring

Maciej Dołęga, Maciej Kowalski

Electron. J. Combin., 29(4), Paper 4.5, 2022.

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Enumeration of non-oriented maps via integrability

Valentin Bonzom, Guillaume Chapuy, Maciej Dołęga

Algebr. Comb., 5, no. 6, pp. 1363-1390, 2022.

Cite DOI arXiv Maple worksheet HTML worksheet

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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