Dr Michael Albanese

Dr Michael Albanese

Lecturer

School of Computer and Mathematical Sciences

Faculty of Sciences, Engineering and Technology

My research interests are in complex and Riemannian geometry, as well as some areas of algebraic topology. I spend most of my time thinking about manifolds, their properties, and special structures they can be endowed with. Such structures include (almost) complex structures, generalisations of spin structures, and Riemannian metrics with special properties.

If you have a question which begins with "Is there a manifold", there's a good chance I will be interested.

I would be happy to supervise students in any capacity, so if you're at all curious about what I do, please reach out.

  • Appointments
    Date Position Institution name
    2024 - ongoing Lecturer University of Adelaide
    2022 - 2024 Postdoctoral Fellow University of Waterloo
    2019 - 2022 CIRGET Postdoctoral Fellow University of Quebec at Montreal

  • Education
    Date Institution name Country Title
    2013 - 2019 Stony Brook University United States PhD

  • Journals
    Year Citation
    2024 Albanese, M., & Di Cerbo, L. F. (2024). Aspherical 4-Manifolds, Complex Structures, and Einstein Metrics. Journal of Geometric Analysis, 34(7), 8 pages.
    DOI
    2023 Albanese, M., & Milivojević, A. (2023). Corrigendum to “Spin<sup>h</sup> and further generalisations of spin” [J. Geom. Phys. 164 (2021) 104174](S0393044021000449)(10.1016/j.geomphys.2021.104174). Journal of Geometry and Physics, 184, 104709.
    DOI Scopus1
    2023 Albanese, M., & LeBrun, C. (2023). Kodaira dimension &amp; the Yamabe problem, II. Communications in Analysis and Geometry, 31(10), 2387-2411.
    DOI
    2021 Albanese, M. (2021). The Yamabe invariants of Inoue surfaces, Kodaira surfaces, and their blowups. Annals of Global Analysis and Geometry, 59(2), 179-195.
    DOI Scopus1
    2021 Albanese, M., & Milivojević, A. (2021). Spin<sup>h</sup> and further generalisations of spin. Journal of Geometry and Physics, 164, 13 pages.
    DOI Scopus5
    2019 Albanese, M., & Milivojević, A. (2019). On the minimal sum of Betti numbers of an almost complex manifold. Differential Geometry and its Application, 62, 101-108.
    DOI Scopus5
    2019 Albanese, M., & Milivojević, A. (2019). Connected sums of almost complex manifolds, products of rational homology spheres, and the twisted spin<sup>c</sup> Dirac operator. Topology and its Applications, 267, 10 pages.
    DOI

  • Preprint
    Year Citation
    2024 Albanese, M., & Milivojevic, A. (2024). Obstructions to almost complex structures following Massey.
    2024 Albanese, M., Barbaro, G., & Lejmi, M. (2024). Generalized almost-Kähler-Ricci solitons.
    2023 Albanese, M., & Cerbo, L. F. D. (2023). Aspherical 4-Manifolds, Complex Structures, and Einstein Metrics.
    2023 Albanese, M., Cerbo, L. F. D., & Lombardi, L. (2023). Aspherical Complex Surfaces, the Singer Conjecture, and Gromov-Lück
    Inequality $χ\geq |σ|$.
    2021 Albanese, M., & LeBrun, C. (2021). Kodaira Dimension and the Yamabe Problem, II.
    2020 Albanese, M. (2020). The Yamabe invariants of Inoue surfaces, Kodaira surfaces, and their
    blowups.
    2020 Albanese, M., & Milivojevic, A. (2020). Spin^h and further generalisations of spin.
    2019 Albanese, M., & Milivojevic, A. (2019). Connected sums of almost complex manifolds, products of rational
    homology spheres, and the twisted spin^c Dirac operator.
    2018 Albanese, M., & Milivojevic, A. (2018). On the minimal sum of Betti numbers of an almost complex manifold.

In Semester 2 of 2024, I am teaching PURE MTH 3019 Complex Analysis III and PURE MTH 4013 Pure Mathematics Topic D - Lie Groups and Lie Algebras.

  • Position: Lecturer
  • Phone: 83134423
  • Email: michael.albanese@adelaide.edu.au
  • Campus: North Terrace
  • Building: Ingkarni Wardli, floor Level Six
  • Room: 6.58
  • Org Unit: School of Computer and Mathematical Sciences
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