Published Work

[1] Kink dynamics in a novel discrete sine-Gordon system (with Richard Ward)
Nonlinearity 7 (1994) 475-484.
[2] Kink Casimir energy in a lattice sine-Gordon model
Phys. Rev. D49 (1994) 6914-6919.
[3] Low-energy dynamics of a CP1 lump on the sphere
J. Math. Phys. 36 (1995) 796-813.
[4] A discrete phi4 system without Peierls-Nabarro barrier
Nonlinearity 10 (1997) 1615-1625.
[5] Static intervortex forces
Phys. Rev. D55 (1997) 3830-3835.
[6] Lump dynamics in the CP1 model on the torus
Commun. Math. Phys. 194 (1998) 513-539.
[7] Geodesic incompleteness in the CP1 model on a compact Riemann surface (with Lorenzo Sadun)
Lett. Math. Phys. 43 (1998) 329-334.
[8] Breathers in the weakly coupled topological discrete sine-Gordon system (with Mark Haskins)
Nonlinearity 11 (1998) 1651-1671.
[9] Gravity thaws the frozen moduli of the CP1 lump (with Ian Strachan)
Phys. Lett. B457 (1999) 17-22.
[10] Topological discrete kinks
Nonlinearity 12 (1999) 1373-1387.
[11] A quantum Peierls-Nabarro barrier
J. Phys. A 33 (2000) 4741-4754.
[12] Instability of breathers in the topological discrete sine-Gordon system
Nonlinearity 14 (2001) 843-848.
[13] The deformed conifold as a geometry on the space of unit charge CP1 lumps
Phys. Lett. B511 (2001) 295-301.
[14] Discrete breathers in anisotropic ferromagnetic spin chains (with Paul Sutcliffe)
J. Phys. A. 34 (2001) 10839-10858.
[15] Breather initial profiles in weakly coupled chains of anharmonic oscillators (with Mark Haskins)
Phys. Lett. A. 299 (2002) 549-557.
[16] The L2 geometry of spaces of harmonic maps S2 -> S2 and RP2 -> RP2
J. Geom. Phys. 47 (2003) 343-368.
[17] The geodesic approximation for lump dynamics and coercivity of the Hessian for harmonic maps (with Mark Haskins)
J. Math. Phys. 44 (2003) 3470-3494.
[18] Asymptotic interactions of critically coupled vortices (with Nick Manton)
Commun. Math. Phys. 236 (2003) 535-555.
[19] Slow Schrödinger dynamics of gauged vortices (with Nuno Romão)
Nonlinearity 17 (2004) 1337-1355.
[20] Homotopy classification of multiply based textures
Lett. Math. Phys. 72 (2005) 79-82.
[21] Fermionic quantization and configuration spaces for the Skyrme and Faddeev-Hopf models (with Dave Auckly)
Commun. Math. Phys. 263 (2006) 173-216.
[22] Fermionic quantization of Hopf solitons (with Steffen Krusch)
Commun. Math. Phys. 264 (2006) 391-410.
[23] Abelian Higgs vortices
Invited review article in the Encyclopedia of Mathematical Physics, Elsevier (2006) pp151-160.
[24] Semi-Meissner state and neither type-I nor type-II superconductivity in multicomponent superconductors (with Egor Babaev)
Phys. Rev. B 72 (2005) 180502.
[25] Slow equivariant lump dynamics on the two-sphere (with James McGlade)
Nonlinearity 19 (2006) 441-452.
[26] Kinks in dipole chains (with Yaroslav Zolotaryuk)
Nonlinearity 19 (2006) 1365-1382.
[27] Sigma models on curved space and bubble refraction in doped antiferromagnets
Nonlinearity 19 (2006) 1565-1579.
[28] Geometry and analysis in non-linear sigma models (with Dave Auckly and Lev Kapitanski)
St. Petersburg Mathematical Journal 18 (2006) 1-31.
[29] On the strong coupling limit of the Faddeev-Hopf model (with Martin Svensson)
Commun. Math. Phys. 272 (2007) 751-773.
[30] Magnetic bubble refraction and quasibreathers in inhomogeneous antiferromagnets
Theor. Math. Phys. 152 (2007) 1043-1055
[31] A pure Skyrme instanton
Phys. Lett. B659 (2008) 429-433
[32] Some global minimizers of a symplectic Dirichlet energy (with Martin Svensson)
Quart. J. of Math, 62 (2011) 737-745
[33] Supercurrent coupling in the Faddeev-Skyrme model
J. Geom. Phys. 60 (2010) 599-610
[34] Magnetic field delocalization and flux inversion in fractional vortices in two-component superconductors (with Egor Babaev and Juha Jäykkä)
Phys. Rev. Lett. 103 (2009) 237002.
[35] Exact moduli space metrics for hyperbolic vortices (with Steffen Krusch)
J. Math. Phys. 51 (2010) 022304.
[36] Type-1.5 superconductivity from interband Josephson coupling (with Egor Babaev and Johan Carlström)
Phys. Rev. Lett. 105 (2010) 067003.
[37] The volume of the space of holomorphic maps from S2 to CPk
J. Geom. Phys. 61 (2011) 77-84.
[38] Compactons and semi-compactons in the extreme baby Skyrme model
J. Phys. A. 43 (2010) 405201.
[39] Type-1.5 superconductivity in multiband systems: the effects of interband couplings (with Egor Babaev and Johan Carlström)
Phys. Rev. B 83 (2011) 174509.
[40] Easy plane baby skyrmions (with Juha Jäykkä)
Phys. Rev. D 82 (2011) 125030.
[41] Hopf solitons and elastic rods (with Derek Harland and Paul Sutcliffe)
Phys. Rev. D 83 (2011) 065008.
[42] The ground state energy of a charged particle on a Riemann surface
e-print.
[43] Broken Baby Skyrmions (with Juha Jäykkä and Paul Sutcliffe)
Proc. R. Soc. A 468 (2012) 1085-1104.
[44] Supercurrent coupling destabilizes knot solitons (with Juha Jäykkä)
Phys. Rev. D 84 (2012) 125035.
[45] Type-1.5 superconductivity in multiband systems: magnetic response, broken symmetries and microscopic theory. A brief overview (with E. Babaev, J. Carlstrom, J. Garaud and M. Silaev)
Physica C 479 (2012) 2-14.
[46] Quantum lump dynamics on the two-sphere (with Steffen Krusch)
Commun. Math. Phys. 32 (2013) 95-126.
[47] The adiabatic limit of wave map flow on a two torus
to appear in Trans. AMS.
[48] Chiral CP^2 skyrmions in three-band superconductors (with Julien Garaud, Johan Carlstrom and Egor Babaev)
Phys. Rev. B 87 (2013) 014507.
[49] Isospinning hopfions (with Derek Harland, Juha Jäykkä and Yakov Shnir)
J. Phys. A: Math. Theor. 46 (2013) 225402
[50] Solitons on tori and soliton crystals
to appear in Commun. Math. Phys.
[51] Near BPS Skyrmions and Restricted Harmonic Maps
e-print.


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