Projects per year
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.
3/07/17 → 8/09/17
Project: UK charity
Nordstrom, J., 8 Dec 2020, (Acceptance date) In: Duke Mathematical Journal. 54 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile1 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. 28 p.
Research output: Contribution to journal › Article › peer-reviewOpen Access
Nordström, J., 1 Jun 2020, In: Journal of Topology. 13, 2, p. 539-575 37 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile9 Downloads (Pure)
Infinitely many new families of complete cohomogeneity one G_2-manifolds: G_2 analogues of the Taub-NUT and Eguchi-Hanson spacesFoscolo, L., Haskins, M. & Nordstrom, J., 26 Nov 2019, (Acceptance date) In: Journal of the European Mathematical Society. 53 p.
Research output: Contribution to journal › ArticleOpen Access