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.

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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