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Personal profile

Research interests

My main research interest is Riemannian manifolds with special holonomy. A manifold of dimension n is a space that can be described locally using n coordinates, but which need not be flat. For instance, the usual notion of a surface corresponds to a 2-dimensional manifold. For a manifold to have special holonomy means that it carries some special "parallel" structure.

I am particularly interested in the two exceptional cases in the classification of Riemannian holonomy: 7-manifolds with holonomy G_2 and 8-manifolds with holonomy Spin(7). I study these objects using a combination of tools from differential and algebraic geometry, geometric measure theory and differential topology.

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Research Output

Distinguishing G2-Manifolds

Crowley, D., Goette, S. & Nordström, J., 27 May 2020, Fields Institute Communications. Springer US, p. 143-172 30 p. (Fields Institute Communications; vol. 84).

Research output: Chapter in Book/Report/Conference proceedingChapter

Exotic G2-manifolds

Crowley, D. & Nordström, J., 8 Jun 2020, In : Mathematische Annalen. 28 p.

Research output: Contribution to journalArticle

Open Access
  • The rational homotopy type of (n-1)-connected manifolds of dimension up to 5n-3

    Crowley, D. & Nordström, J., 1 Jun 2020, In : Journal of Topology. 13, 2, p. 539-575 37 p.

    Research output: Contribution to journalArticle

    Open Access
  • 2 Downloads (Pure)

    Complete non-compact G2-manifolds from asymptotically conical Calabi-Yau 3-folds

    Foscolo, L., Haskins, M. & Nordstrom, J., 9 Aug 2019, (Submitted) In : Duke Mathematical Journal. 54 p.

    Research output: Contribution to journalArticle

  • The classification of 2-connected 7-manifolds

    Crowley, D. & Nordström, J., 26 Dec 2018, In : Proceedings of the London Mathematical Society. 119, 1, p. 1-54 54 p.

    Research output: Contribution to journalArticle

  • 3 Citations (Scopus)