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.
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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
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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.
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.
Scopus12023 Albanese, M., & LeBrun, C. (2023). Kodaira dimension & the Yamabe problem, II. Communications in Analysis and Geometry, 31(10), 2387-2411.
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.
Scopus12021 Albanese, M., & Milivojević, A. (2021). Spin<sup>h</sup> and further generalisations of spin. Journal of Geometry and Physics, 164, 13 pages.
Scopus52019 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.
Scopus52019 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.
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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.
Connect With Me
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