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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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Infinitely many new families of complete cohomogeneity one G2-manifolds: G2analogues of the Taub-NUT and Eguchi-Hanson spacesFoscolo, L., Haskins, M. & Nordström, J., 2021, In: Journal of the European Mathematical Society. 23, 7, p. 2153-2220 68 p.
Research output: Contribution to journal › Article › peer-review
Nordstrom, J., 28 Dec 2020, 54 p. (Arxiv).
Research output: Working paperOpen AccessFile6 Downloads (Pure)
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 proceeding › Chapter
Nordström, J., 8 Jun 2020, In: Mathematische Annalen. 0, 0, p. 0-0 28 p.
Research output: Contribution to journal › Article › peer-reviewOpen Access