Projects per year

## 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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## Projects 2015 2017

- 2 Finished

### Student Bursary for Joseph Martin - The Matching Problem for Twisted Connected Sum G2-Manifolds

3/07/17 → 8/09/17

Project: UK charity

## Research Output 2008 2018

- 9 Article

### The classification of 2-connected 7-manifolds

Crowley, D. & Nordström, J., 26 Dec 2018, In : Proceedings of the London Mathematical Society. 56 p.Research output: Contribution to journal › Article

### Asymptotically cylindrical Calabi-Yau manifolds

Mark, H., Hein, H. J. & Johannes, N., 1 Jan 2015, In : Journal of Differential Geometry. 101, 2, p. 213-265 53 p.Research output: Contribution to journal › Article

### G_{2}-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 journal › Article

### New invariants of G_{2}-structures

Crowley, D. & Nordström, J., 20 Oct 2015, In : Geometry & Topology. 19, 5, p. 2949-2992Research output: Contribution to journal › Article

### Asymptotically cylindrical Calabi–Yau 3–folds from weak Fano 3–folds

Corti, A., Haskins, M., Nordström, J. & Pacini, T., 15 Jul 2013, In : Geometry & Topology. 17, 4, p. 1955-2059 105 p.Research output: Contribution to journal › Article