Irfan Glogić

I am a Junior Professor at the Faculty of Mathematics of Bielefeld University.

Formerly, I was a postdoctoral researcher at the University of Vienna, supervised by Professor Roland Donninger.

Prior to moving to Vienna, I obtained my doctorate in Mathematics from The Ohio State University. My advisor was Professor Ovidiu Costin.

Before that, I completed my undergraduate studies at the University of Sarajevo, Bosnia and Herzegovina.

Research Interests

I am interested in nonlinear partial differential equations, primarily those of dispersive and parabolic type. At the moment, I am focused on the existence and stability of blowup in supercritical models. This necessitates tools from different areas of mathematics, and as a consequence I also work in differential geometry, spectral theory, and harmonic analysis.

Contact Information

Faculty of Mathematics
Bielefeld University
Universitätsstr. 25, Room V4-217
33615 Bielefeld, Germany

E-mail: irfan.glogic@uni-bielefeld.de

  • Curriculum vitae

    • Research Papers

    The following are available on my arXiv.org page.
    1. Non-uniqueness of mild solutions to supercritical heat equations
      with M. Hofmanová, T. Lange and E. Luongo. submitted for publication, 2025.

    2. Globally stable blowup profile for supercritical wave maps in all dimensions
      Calc. Var. Partial Differential Equations. 64(2): Paper No. 46, 34 pp, 2025.

    3. Global-in-space stability of singularity formation for Yang-Mills fields in higher dimensions
      J. Differential Equations. 408: 140-165, 2024.

    4. Existence and stability of shrinkers for the harmonic map heat flow in higher dimensions
      with S. Kistner and B. Schörkhuber. Calc. Var. Partial Differential Equations. 63(4): Paper No. 96, 33 pp, 2024.

    5. On blowup for the supercritical quadratic wave equation
      with E. Csobo and B. Schörkhuber. Anal. PDE. 17(2): 617-680, 2024.

    6. Co-dimension one stable blowup for the quadratic wave equation beyond the light cone
      with P. Chen, R. Donninger, M. McNulty and B. Schörkhuber. Comm. Math. Phys. 405(2): Paper No. 34, 46 pp, 2024.

    7. Stable singularity formation for the Keller-Segel system in three dimensions
      with B. Schörkhuber. Arch. Ration. Mech. Anal. 248(4): Paper No. 4, 40 pp, 2024.

    8. Stable blowup for the supercritical hyperbolic Yang-Mills equations
      Adv. Math. 408: Paper No. 108633, 52 pp, 2022.

    9. Co-dimension one stable blowup for the supercritical cubic wave equation
      with B. Schörkhuber. Adv. Math. 390: Paper No. 107930, 79 pp, 2021.

    10. Nonlinear stability of homothetically shrinking Yang-Mills solitons in the equivariant case
      with B. Schörkhuber. Comm. Partial Differential Equations. 45(8): 887-912, 2020.

    11. Strichartz estimates for the one-dimensional wave equation
      with R. Donninger. Trans. Amer. Math. Soc. 373(6): 4051-4083, 2020.

    12. Threshold for blowup for the supercritical cubic wave equation
      with M. Maliborski and B. Schörkhuber. Nonlinearity. 33(5): 2143-2158, 2020.

    13. On the existence and stability of blowup for wave maps into a negatively curved target
      with R. Donninger. Anal. PDE. 12(2): 389-416, 2019.

    14. On blowup of co-rotational wave maps in odd space dimensions
      with A. Chatzikaleas and R. Donninger. J. Differential Equations. 263(8): 5090-5119, 2017.

    15. Mode stability of self-similar wave maps in higher dimensions
      with O. Costin and R. Donninger. Comm. Math. Phys. 351(3): 959-972, 2017.

    16. On the stability of self-similar solutions to nonlinear wave equations
      with O. Costin, R. Donninger and M. Huang. Comm. Math. Phys. 343(1): 299-310, 2016.
    Here is also a link to my MathSciNet profile.

    Thesis

    The thesis I wrote under the guidance of Professor Ovidiu Costin is freely available through OhioLINK and can be accessed here.

    Seminar

    Together with Sebastian Herr and Matthias Erbar, I am organizing the Bielefeld Analysis Seminar.

    Upcoming and Recent Travels

    05.01 - 09.01.2026   Punta Arenas, Chile: Conference - Recent Progress in Asymptotic Stability of Solitons and Related Problems
    22.09 - 03.10.2025   Paris: Visiting Professor, Paris Dauphine
    02.06 - 05.06.2025   Krakow: Seminar talk, Jagiellonian University
    19.05 - 23.05.2025   Paris: Conference CY Days in Nonlinear Analysis
    16.12 - 20.12.2024   Abu Dhabi: The 14th AIMS Conference on Dynamical Systems and Differential Equations
    07.10 - 11.10.2024   Lausanne: Workshop Young researchers in deterministic and probabilistic dispersive equations