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Dr Derek G Harland

Associate Professor in Geometry
Pure Mathematics

Contact details

Room: 8.06
Tel: +44 (0)113 3435152
Email: D.G.Harland @


Topological solitons
Gauge theory

Research interests

In theoretical physics and in differential geometry one often encounters the problem finding minima of an "energy functional" defined over an infinite-dimensional configuration space. Typically the configuration space might be a space of maps between manifolds, or a space of connections on and sections of a vector bundle. The study of such critical points may provide non-trivial information about the underlying manifolds and the physics involved. Two systems I am currently interested in are the Yang-Mills-Higgs, Yang-Mills and Skyrme energy functionals, whose critical points are called "monopoles", "instantons" and "skyrmions" respectively. Some of my recent work has looked at such systems on manifolds of relatively high dimension.

Useful links

Personal website

Current postgraduate students

Joshua Cork (2014)
Ben Daniel-Thorpe (2016)
Joe Driscoll (2016)


Gillard M, Harland D, Kirk E, Maybee B, Speight M A point particle model of lightly bound skyrmions Nuclear Physics B, 917, 286-316, 2017
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Charbonneau B, Harland D Deformations of Nearly Kähler Instantons Communications in Mathematical Physics, 348, 959-990, 2016
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Harland D, Nogradi D On the charge density and asymptotic tail of a monopole JOURNAL OF MATHEMATICAL PHYSICS, 57, 2016

Bolognesi S, Harland D, Sutcliffe P Magnetic bags in hyperbolic space Physical Review D - Particles, Fields, Gravitation and Cosmology, 92, 2015
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Gillard M, Harland D, Speight M Skyrmions with low binding energies Nuclear Physics B, 895, 272-287, 2015
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Harland D Topological energy bounds for the Skyrme and Faddeev models with massive pions Physics Letters B, 728, 518-523, 2014
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Harland D, Jäykkä J, Shnir Y, Speight M Isospinning hopfions Journal of Physics A: Mathematical and Theoretical, 46, 2013
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Dooley S, McCrossan F, Harland D, Everitt MJ, Spiller TP Collapse and revival and cat states with an N-spin system Physical Review A - Atomic, Molecular, and Optical Physics, 87, 2013
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Harland D, Everitt MJ, Nemoto K, Tilma T, Spiller TP Towards a complete and continuous Wigner function for an ensemble of spins or qubits Physical Review A - Atomic, Molecular, and Optical Physics, 86, 2012
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Harland D, Palmer S, Sämann C Magnetic domains Journal of High Energy Physics, 2012
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Foster D, Harland D Helical buckling of Skyrme-Faddeev solitons Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 468, 3172-3190, 2012
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Harland D, Nölle C Instantons and Killing spinors Journal of High Energy Physics, 2012
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Harland D, Popov AD Yang-Mills fields in flux compactifications on homogeneous manifolds with SU(4)-structure Journal of High Energy Physics, 2012
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Harland DG The large N limit of the Nahm transform Communications in Mathematical Physics, 311, 689-712, 2011

Harland D, Speight M, Sutcliffe P Hopf solitons and elastic rods PHYSICAL REVIEW D, 83, 2011

Harland D, Speight M, Sutcliffe P Hopf solitons and elastic rods Physical Review D - Particles, Fields, Gravitation and Cosmology, 83, 2011
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Harland DG, Ivanova TA, Lechtenfeld O, Popov AD Yang-Mills flows on nearly Kaehler manifolds and G_2-instantons Communications in Mathematical Physics, 300, 185-204, 2010

Harland D Kinks, chains, and loop groups in theℂℙn sigma models Journal of Mathematical Physics, 50, 2009
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Harland D, Kürkçüoǧlu S Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices Nuclear Physics B, 821, 380-398, 2009
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Harland D, Ward RS Dynamics of periodic monopoles Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 675, 262-266, 2009
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Harland D, Ward RS Chains of skyrmions JOURNAL OF HIGH ENERGY PHYSICS, 2008

Harland D Hyperbolic calorons, monopoles, and instantons Communications in Mathematical Physics, 280, 727-735, 2008
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Harland D, Ward RS Walls and chains of planar Skyrmions Physical Review D - Particles, Fields, Gravitation and Cosmology, 77, 2008
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Harland D Large scale and large period limits of symmetric calorons Journal of Mathematical Physics, 48, 2007
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