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“I entreat you, leave the doctrine of parallel lines alone; you should fear it like a sensual passion; it will deprive you of health, leisure and peace – it will destroy all joy in your life.”

– Farkas Bolyai (1775 - 1856) in a letter to his son János Bolyai (1802 - 1860).


    PhD supervision

  • Amalie Thorup Eich-Høy (2024-2026) [joint with Martin Hauberg-Lund Laugesen] SDU

  • Max Holst Mikkelsen (2021-2024) [co-supervisor, main supervisor: Jens Kaad] SDU
    Dissertation title: Quantum metric structures on quantum projective spaces
    Currently: Teacher at Tornbjerg Gymnasium

  • Thomas Gotfredsen (2017-2021) [main supervisor] SDU
    Dissertation title: Quasi-isometry and cohomology & Quantisation of intervals
    Currently: Teacher at Roskilde Handelssgymnasium

  • Sophie Emma Zegers (2017-2021) [co-supervisor, main supervisor: W. Szymański] SDU
    Dissertation title: Structure and symmetries in C*-algebras
    Currently: Postdoc at Delft University of Technology

    Postdoc mentoring

  • Are Austad (2022-2024) [joint with J. Gabe, J. Kaad and W. Szymański] SDU
    Associated with the project Operator algebras, groups and quantum spaces funded by the Independent Research Fund Denmark (DFF).

  • Konrad Aguilar (2020-2021) [joint with J. Kaad] SDU
    Associated with the project Classical and Quantum Distances funded by the Independent Research Fund Denmark (DFF).
    Currently: Assistant Professor at Pomona College

  • Juhani Koivisto (2016-2018) SDU
    Associated with the project Local and Global Structures of Groups and their Algebras funded by the Villum Foundation.
    Currently: Senior Strategic Risk Manager at Nordea

  • Selçuk Barlak (2015-2017) [joint with W. Szymański] SDU
    Associated with the project Local and Global Structures of Groups and their Algebras funded by the Villum Foundation.
    Currently: Lecturer at Europa-Universität Flensburg

  • Maria Ramirez-Solano (2015-2017) [joint with W. Szymański] SDU
    Associated with the project Local and Global Structures of Groups and their Algebras funded by the Villum Foundation.
    Currenly working at Miljøstyrelsen

    Master's theses

  • Mikkel Melbye Andreassen (2023) SDU
    Group C*-algebras and quantum metric spaces

  • Max Holst Mikkelsen (2021) SDU
    Quantum metrics on q-deformed spaces

  • Daniel Rasmussen (2021) SDU
    ℓ²-Betti numbers and free subgroups

  • Thomas Gotfredsen (2019) SDU
    Cohomology of nilpotent Lie groups

  • Kirsten Markvard Krupa (2015) [joint with W. Szymański] SDU
    Dimension theory for C*-algebras

    Bachelor projects

  • Hamza Nadeem (2024) SDU
    The Riesz representation theorem and the Haar measure on compact groups

  • Signe Ager Hammerich (2024) SDU
    Galois Theory

  • Sille Cederstrøm Baatz (2023) SDU
    Galois Theory

  • Erantis Fodgaard Præstgaard Sørensen (2023) SDU
    The Banach Tarski paradox

  • Andreas Duerlund Rasmussen (2023) SDU
    Hopf algebras

  • Sana Yasser Gheith (2023) SDU
    Galois Theory

  • Albert Agerholm Christensen (2023) SDU
    Topological K-theory

  • Laura Nogel Jæger (2022) SDU
    Galois Theory

  • Hjalte Vejbæk (2022) SDU
    Regularity properties of functions and measures.

  • Jonas Kremmer Elnegaard (2021) SDU
    Topological vector spaces and the Haar measure on compact groups

  • Mikkel Melbye Andreassen (2021) SDU
    De Rahm-cohomologi

  • Nikolaj Jansdal Dreijer (2020) SDU
    Galois Theory

  • Simon Brunshøj Fredensborg (2020) SDU
    The Banach Tarski paradox

  • Magnus Berg Pedersen (2020) SDU
    Galois theory

  • Max Holst Mikkelsen (2019) SDU
    The Haar measure

  • Daniel Rasmussen (2019) SDU
    Galois theory

  • Emil Elmelund Hjadstrup Hansen (2018) SDU
    The Banach Tarski paradox

  • Benjamin Sølberg Nielsen (2018) SDU
    Galois Theory

  • Floor Dijkstra Zegers (2017) SDU
    The Banach Tarski paradox

  • Maria Elisbeth Frey (2016) SDU
    Galois Theory

  • Sophie Mikkelsen (2016) SDU
    Galois Theory

  • Morten Agger (2015) SDU
    C*-algebras

  • Thomas Gotfredsen (2015) SDU
    Hilbert and Banach spaces

  • Susanne Houborg Nielsen (2014) SDU
    The fundamental group

  • Thiebout Delabie & Ruben Henrard (2012) KU Leuven
    Embedding metric spaces into Banach spaces

  • Dieter Vanstreels & Jan Met den Ancxt (2012) KU Leuven
    Embedding metric spaces into Banach spaces

    Individual study activities and reading courses

  • Andreas Duerlund Rasmussen (2024) SDU
    Compact quantum groups and quantum metric spaces

  • Mikkel Melbye Andreassen (2022) SDU
    Spectral triples and group C*-algebras

  • Daniel Rasmussen (2020) SDU
    Dimension theory for modules over von Neumann algebras

  • Max Holst Mikkelsen (2020) SDU
    Quantum metric spaces

  • Sebastian Skafte Jørgensen, Laura Lindskrog Kromann, and Daniel Rasmussen (2020) SDU
    von Neumann algebras

  • Daniel Rasmussen (2019) SDU
    Homological Algebra

  • Daniel Rasmussen (2018) SDU
    Sylow's theorems and solvable groups

  • Sophie Mikkelsen & Thomas Gotfredsen (2017) SDU
    Amenability and operator algebras

  • Floor Dijkstra Zegers (2017) SDU
    Topological vector spaces

  • Thomas Gotfredsen (2017) SDU
    Group cohomology and L2-Betti numbers

  • Sophie Mikkelsen (2017) SDU
    Topological groups and Kazhdan's property (T)

  • Thomas Gotfredsen (2016) SDU
    Galois Theory

  • Lotte Svendsen (2015) SDU
    Knot theory

  • Kirsten Markvard Krupa (2014) SDU
    Amenability

    Pedagogical supervision

  • Fabian Haiden (2023) SDU
    SDU lecturer training programme [internal supervisor]

  • Jens Kaad (2016) SDU
    SDU lecturer training programme [internal supervisor]

  • Morten Rask Petersen (2016) SDU
    SDU lecturer training programme [internal supervisor]