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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

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

Crowley, D. & Nordström, J., 18 Mar 2020, In : Journal of Topology. 13, 2, p. 539-575 30 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

  • Asymptotically cylindrical Calabi-Yau manifolds

    Mark, H., Hein, H. J. & Johannes, N., 31 Oct 2015, In : Journal of Differential Geometry. 101, 2, p. 213-265 53 p.

    Research output: Contribution to journalArticle

    Open Access
  • 12 Citations (Scopus)
    81 Downloads (Pure)

    G2-Manifolds and associative submanifolds via semi-fano 3-folds

    Corti, A., Haskins, M., Nordström, J. & Pacini, T., 15 Jul 2015, In : Duke Mathematical Journal. 164, 10, p. 1971-2092 122 p.

    Research output: Contribution to journalArticle

    Open Access
  • 42 Citations (Scopus)
    36 Downloads (Pure)

    New invariants of G2-structures

    Crowley, D. & Nordström, J., 31 Dec 2015, In : Geometry & Topology. 19, 5, p. 2949-2992 44 p.

    Research output: Contribution to journalArticle

    Open Access
  • 13 Citations (Scopus)
    66 Downloads (Pure)