Photo of Johannes Nordstrom
  • 4 WEST 1.10

20082018
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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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Holonomy Mathematics
Submanifolds Mathematics
Connected Sum Mathematics
Moduli Space Mathematics
Metric Mathematics
Calabi-Yau Mathematics
Fold Mathematics
Torsion-free Mathematics

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Projects 2015 2017

Global Mobility Scheme - Special Holonomy

Nordstrom, J.

1/04/1530/06/15

Project: Research-related fundingInternational Relations Office Funding

Research Output 2008 2018

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 journalArticle

Torsion
Topological manifold
Closed
Characteristic Classes
Inertia

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 journalArticle

Open Access
File
Calabi-Yau Manifolds
Flat Manifold
Normal Bundle
Calabi-Yau
Structure Theorem
28 Citations (Scopus)

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
File
Submanifolds
Fold
Connected Sum
Metric
Enumerative Geometry
8 Citations (Scopus)

New invariants of G2-structures

Crowley, D. & Nordström, J., 20 Oct 2015, In : Geometry & Topology. 19, 5, p. 2949-2992

Research output: Contribution to journalArticle

Open Access
File
Substructure
Invariant
Homotopy
Connected Sum
Holonomy
20 Citations (Scopus)

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 journalArticle

Open Access
File
Calabi-Yau
Fold
Holomorphic Curve
Connected Sum
Normal Bundle