Dr Michael Albanese
Lecturer
School of Mathematical Sciences
College of Science
Eligible to supervise Masters and PhD (as Co-Supervisor) - email supervisor to discuss availability.
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, such that", 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.
| 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 |
| Date | Institution name | Country | Title |
|---|---|---|---|
| 2013 - 2019 | Stony Brook University | United States | PhD |
| Year | Citation |
|---|---|
| 2025 | Albanese, M., Di Cerbo, L. F., & Lombardi, L. (2025). Aspherical complex surfaces, the Singer conjecture, and Gromov-Lück inequality χ ≥. Mathematical Proceedings of the Cambridge Philosophical Society, 179(3), 541-555. |
| 2025 | Albanese, M., Devito, J., & González-álvaro, D. (2025). Examples of biquotients whose tangent bundle is not a biquotient vector bundle. Communications in Analysis and Geometry, 33(5), 1135-1171. |
| 2024 | Albanese, M., & Di Cerbo, L. F. (2024). Aspherical 4-Manifolds, Complex Structures, and Einstein Metrics. The Journal of Geometric Analysis, 34(7), 8 pages. Scopus1 WoS1 |
| 2024 | Albanese, M., Barbaro, G., & Lejmi, M. (2024). Generalized almost-Kähler–Ricci solitons. Differential Geometry and its Application, 97, 27 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. Scopus2 |
| 2023 | Albanese, M., & LeBrun, C. (2023). Kodaira dimension & the Yamabe problem, II. Communications in Analysis and Geometry, 31(10), 2387-2411. |
| 2021 | Albanese, M., & Milivojević, A. (2021). Spin<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e138" altimg="si10.svg"><mml:msup><mml:mrow/><mml:mrow><mml:mi>h</mml:mi></mml:mrow></mml:msup></mml:math> and further generalisations of spin. Journal of Geometry and Physics, 164, 104174. Scopus10 WoS9 |
| 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. Scopus3 WoS3 |
| 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. Scopus6 WoS6 |
| 2019 | Albanese, M., & Milivojević, A. (2019). Connected sums of almost complex manifolds, products of rational homology spheres, and the twisted spin Dirac operator. Topology and its Applications, 267, 106890. |
| 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., DeVito, J., & González-Álvaro, D. (2021). Examples of biquotients whose tangent bundle is not a biquotient vector bundle. |
| 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 1 of 2025, I am teaching PURE MTH 4012 Pure Mathematics Topic B - Algebraic Topology.
In Semester 2 of 2025, I am teaching MATHS 2100 Real Analysis II and PURE MTH 4013 Pure Mathematics Topic D - Lie Groups and Lie Algebras.
| Date | Role | Research Topic | Program | Degree Type | Student Load | Student Name |
|---|---|---|---|---|---|---|
| 2025 | Co-Supervisor | Approximation and interpolation for holomorphic immersions of open Riemann surfaces in the affine plane | Master of Philosophy | Master | Full Time | Mr Chun Hei Lee |
| 2024 | Co-Supervisor | Real Seiberg-Witten invariants of complex 4-manifolds | Doctor of Philosophy | Doctorate | Full Time | Mr Junjie Chong |
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