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, A Skopenkov. Embeddings of non-simply-connected 4-manifolds in 7-space. II. On the smooth classification. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1-19, 2021. doi: 10.1017/prm.2020.103.

  • Jonathan Bowden, D. Crowley, Jim Davis, Stefan Friedl, Carmen Rovi, Stephan Tillmann. Open Problems in the Topology of Manifolds. 4, 647-659, Springer International Publishing, 2021. doi: 10.1007/978-3-030-62497-2_39.

  • Imre Bokor, D. Crowley, Stefan Friedl, Fabian Hebestreit, Daniel Kasproswki, Markus Land, Johnny Nicholson. Connected Sum Decompositions of High-Dimensional Manifolds. 4, 5-30, Springer International Publishing, 2021. doi: 10.1007/978-3-030-62497-2_1.

  • D. Crowley, A Skopenkov. Embeddings of non-simply-connected 4-manifolds in 7-space. I. classification modulo knots. Moscow Mathematical Journal, 21, 43-98, 2021. doi: 10.17323/1609-4514-2021-21-1-43-98.

  • D. Crowley, Johannes Nordström. The rational homotopy type of (n−1)‐connected manifolds of dimension up to 5n−3. Journal of Topology, 13, 539-575, 2020. doi: 10.1112/topo.12133.

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Current Postgraduate Supervision

Name Thesis title
Songqi HAN
Csaba NAGY

Current MSc Students

Name Project title
Blake SIMS
Jayden HAMMET "to be confirmed"

Responsibilities

  • MSc (Mathematics & Statistics) coordinator
  • Topology Seminar Coordinator

Committees

  • Management Committee
  • Postgraduate Programs Committee
  • Research and Industry Committee