A/Prof Diarmuid CROWLEY
Associate Professor
School of Mathematics and Statistics
- Room: 201
- Building: Peter Hall Building
- Campus: Parkville
Research Interests
- Differential topology
- Algebraic topology
- Surgery classification of manifolds
Research Groups
Recent Publications
D. Crowley, Johannes Nordstrom, Johannes Nordström. The classification of 2‐connected 7‐manifolds. Proceedings of the London Mathematical Society, 119, 1-54, 2019. doi: 10.1112/plms.12222.
D. Crowley, Tibor Macko. On the cardinality of the manifold set. Geometriae Dedicata, 200, 265-285, 2019. doi: 10.1007/s10711-018-0370-1.
D. Crowley, Thomas Schick, Wolfgang Steimle. Harmonic spinors and metrics of positive curvature via the Gromoll filtration and Toda brackets. JOURNAL OF TOPOLOGY, 11, 1077-1099, 2018. doi: 10.1112/topo.12081.
D. Crowley, David J Wraith. Positive Ricci curvature on highly connected manifolds. Journal of Differential Geometry, 106, 187-243, 2017. doi: 10.4310/jdg/1497405625.
D. Crowley, Mark Grant. The Poincare-Hopf Theorem for line fields revisited. Journal of Geometry and Physics, 117, 187-196, 2017. doi: 10.1016/j.geomphys.2017.03.011.
Current Postgraduate Supervision
| Name | Thesis title |
|---|---|
| Songqi HAN | |
| Csaba NAGY |
Current MSc Students
| Name | Project title |
|---|---|
| Blake SIMS |
Responsibilities
- MSc (Mathematics & Statistics) coordinator
- Topology Seminar Coordinator
Committees
- Management Committee
- Postgraduate Programs Committee
- Research and Industry Committee