Spectral geometry of nuts and bolts (with Lyonell Boulton and Kim Smedley-Williams) Journal of Physics A: Math. Theor. (2022) 55 235202 online and arXiv:2221.11411

Geometry and Symmetry in Skyrmion Dynamics (with Vlad Kuchkin, Ksenia Chichai, Bruno Barton-Singer, Filipp Rybakov, Stefan Blugel, Nikolai Kiselev) Physical Review B 104 (2021) 16, 165116 online and arXiv:2104.02342

Magnetic skyrmions, chiral kinks and holomorphic functions (with Vlad Kuchkin, Bruno Barton-Singer, Filipp Rybakov, Stefan Blugel, Nikolai Kiselev) Physical Review B 102 (2020), 144422 online and arXiv:2007.06260

Dk Gravitational instantons as superpositions of Atiyah-Hitchin and Taub-NUT geometries (with Michael Singer) Quart. J. Math. 00 (2021), 1-61 online and arXiv:2004.02759

Solvable models of magnetic skyrmions, In `Quantum Theory and Symmetries', Proceedings of the 11th International Symposium, Montreal, Canada (Eds. M. Paranjape, R. MacKenzie, Z. Thomova, P. Winternitz, P., W. Witczak-Krempa), Springer Verlag, 2021, and arXiv:1910.13907

Michael Atiyah and physics: the later years, Notices of the American Mathematical Society 66 (2019) 1849-1851 online and arXiv:1910.10630

Gauged sigma models and magnetic skyrmions, SciPost 7, 030 (2019) online and arXiv:1905.06285

Magnetic skyrmions at critical coupling, (with Bruno Barton-Singer and Calum Ross) Commun. Math. Phys. 375 (2020) 2259-2280 open access ; arXiv:1812.07268

Linked and knotted synthetic magnetic fields, (with C Duncan, C Ross, N Westerberg, M Valiente, P Ohberg) Physical Review A 99 (2019) online and arXiv:1808.03655

Non-commutative waves for gravitational anyons, (with Sergio Inglima) Letters in Mathematical Physics 109 (2019) 1433-1471, see open access and arXiv:1804.05782

Hyperbolic vortices and Dirac fields in 2+1 dimensions (with Calum Ross) J. Phys. A51 (2018) no.29, 295202 arXiv:1803.11120

Quantum Bound States in Yang-Mills-Higgs Theory (with Lyonell Boulton and Kim Smedley-Williams) Commun. Math. Phys. 363 (2018) 261-287, see open access and arXiv:1708.08363

Classical r-matrices for the generalised Chern-Simons formulation of 3d gravity (with Prince Osei) Classical and Quantum Gravity 35 (2018) 075006 arXiv:1708.07650

Magnetic Zero-Modes, Vortices and Cartan Geometry (with Calum Ross) Letters in Mathematical Physics 2017, see Authorlink and arXiv:1705.09632

Spectral Properties of Schwarzschild Instantons (with Rogelio Jante) Classical and Quantum Gravity 33 (2016) 205008. arXiv:1604.06080

Adiabatic dynamics of instantons on S4 (with Guido Franchetti) Commun. Math. Phys. 353 (2017) 185-228 arXiv:1508.06566

Taub-NUT Dynamics with a Magnetic Field (with Rogelio Jante) J. Geom. Phys. 104 (2016) 305-328, arXiv:1507.08165

Time evolution in a geometric model of a particle (with Michael Atiyah and Guido Franchetti) JHEP 02 (2015) 062 arXiv:1412.5915

Towards non-commutative deformations of relativistic wave equations in 2+1 dimensions (with Matthias Wilhelm) SIGMA 10 (2014), 053, 23 pages, arXiv:1402.7039

Dirac operators on the Taub-NUT space, monopoles and SU(2) representations (with Rogelio Jante) JHEP 01 (2014) 114, arXiv:1312.4879

Classical r-matrices via semidualisation (with Prince K. Osei) J. Math. Phys. 54 (2013) 101702. arXiv:1307.6485

On the semiduals of local isometry groups in 3d gravity (with Prince K. Osei) J. Math. Phys. 53 (2012) 073510 arXiv:1109.4086

Geometric models of matter (with Michael Atiyah and Nick Manton) Proc. Roy. Soc. Lond. A468 (2012) 1252--1279 online version, arXiv:1108.5151

Quantum gravity and non-commutative spacetimes in three dimensions: a unified approach, talk given at `Geometry and Physics in Cracow', Cracow 2010, Acta Phys. Pol. B Proceedings Supplement vol. 4 (2011) page 379, arXiv:1105.3945

On resonances and bound states of the 't Hooft-Polyakov monopole (with K. M. Russell) Phys. Rev. D 83 (2011) 065004, arXiv:1012.3438

Galilean quantum gravity with cosmological constant and the extended q-Heisenberg algebra (with G. Papageourgiou) JHEP11(2010)020, arXiv:1008.0279

Supercharges, Quantum States and Angular Momentum for N=4 Supersymmetric Monopoles (with E. de Vries) Nucl. Phys. B 839 (2010) 157-186, arXiv:1004.0528

Towards a non-abelian electric-magnetic symmetry: the skeleton group (with F.A. Bais, L.Kampmeijer and J.K. Slingerland) JHEP01(2010)095, arXiv:0812.1230

A Chern-Simons approach to Galilean Quantum Gravity in 2+1 dimensions (with G. Papageourgiou) JHEP11(2009)009, arXiv:0907.2880

Supersymmetric quantum mechanics of magnetic monopoles: a case study (with E. de Vries) Nucl. Phys. B 815 (2009) 368-403, arXiv:0811.2155

q-deformation and semi-dualisation in 3d quantum gravity (with S. Majid) J. Phys. A 42 (2009) 425402, arXiv:0806.2587

Generalised Chern-Simons actions for 3d gravity and kappa-Poincare symmetry. (with C. Meusburger) Nucl. Phys. B 806 (2009) 462-488, arXiv:0805.3318

Magnetic Charge Lattices, Moduli Spaces and Fusion Rules. (with L. Kampmeier, J. Slingerland and F.A. Bais) Nucl. Phys. B 806 (2009) 386-435, arXiv:0803.3376

Lessons from (2+1)-dimensional quantum gravity, talk given at the conference ``From Quantum to Emergent Gravity: Theory and Phenomenology'' June 11-15 2007, Trieste, Italy. PoS (2007) QG-PH:035. arXiv:0710.5844

Quaternionic and Poisson-Lie structures in 3d gravity: The Cosmological constant as deformation parameter (with C. Meusburger) J. Math. Phys. 49 (2008) 083510, arXiv:0708.1507

Phase space structure of Chern-Simons theory with a non-standard puncture (with C. Meusburger) Nucl. Phys. B 738 (2006) 425-456, hep-th/0505143

Boundary conditions and symplectic structure in the Chern-Simons formulation of 2+1 dimensional gravity (with C. Meusburger) Class. Quantum Grav 22 (2005) 3689-3724, gr-qc/0505071

Mapping class group actions in Chern-Simons theory with gauge group $G\ltimes g^*$ (with C. Meusburger) Nuclear Physics B706 (2005) 569--597, hep-th/0312049

The quantisation of Poisson structures arising in Chern-Simons theory with gauge group $G\ltimes g^*$ (with C. Meusburger) Advances in Theoretical and Mathematical Physics 7 (2004) 1003--1043, hep-th/0301108

Hopf symmetry breaking and confinement in (2+1)-dimensional gauge theory (with F.A. Bais and J.K. Slingerland) JHEP05(2003)068 , hep-th/0205114

Poisson structure and symmetry in the Chern-Simons formulation of (2+1)-dimensional gravity (with C. Meusburger) Class. Quant. Grav. 20 (2003) 2193--2234, gr-qc/0301108

On the existence of minima in the Skyrme model, talk given at workshop `Integrable Theories, Solitons and Duality', Sao Paulo 2002, JHEP proceedings PRHEP-unesp2002/034., hep-th/0212076

The interaction energy of well-separated Skyrme solitons (with N. Manton and M. Singer) Commun. Math. Phys. 245 (2004) 123-147, hep-th/0212075

Broken quantum symmetry and confinement phases in planar physics (with F.A. Bais and J.K. Slingerland) Phys. Rev. Lett. 89 (2002) 181601--181604, hep-th/0205117

Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity (with F.A. Bais and N.M. Muller) Nucl. Phys. B640 (2002) 3--45, hep-th/0205021

Unstable manifolds and Schroedinger dynamics of Ginzburg-Landau vortices(with O. Lange) Nonlinearity 15 (2002) 1471--1488, nlin.PS/0201047

Combinatorial quantisation of Euclidean gravity in three dimensions, Progress in Mathematics 198 (2001), 307--327, math.qa/0006228

Fourier transfrom and the Verlinde formula for the quantum double of a finite group (with T. Koornwinder, J. Slingerland and F.A. Bais) J. Phys. A: Math. Gen. 32 (1999) 8539--8549, math.qa/9904029

S-duality in SU(3) Yang-Mills theory with non-abelian unbroken gauge group (with F.A. Bais) Nuclear Physics B 535 (1998) 197--218, hep-th/9805163

N=4 supersymmetric Yang-Mills theory on a Kaehler surface (with R. Dijkgraaf and J.-S. Park) preprint ITFA-97-09, hep-th/9801066

Non-abelian dyons, talk given at workshop on solitons in Kingston, Ontario, Canada, 1997, Solitons: Properties, Dynamics, Interactions and Applications, Springer Verlag 1999, 225--233, hep-th/9710182

Quantisation of monopoles with non-abelian magnetic charge (with F.A. Bais) Nuclear Physics B 512 (1998) 250--294, hep-th/9708004

The spectrum of Bogomol'nyi solitons in gauged linear sigma models, Nuclear Physics B 475 (1996) 440--468, hep-th/9603101

Skyrme-Maxwell solitons in 2+1 dimensions (with J. Gladikowski and B.M.A.G Piette) Physical Review D 53 (1996) 844--851, hep-th/9506099

Bogomol'nyi solitons in a gauged O(3) sigma model, Physics Letters B 356 (1995) 291--296, hep-th/9506004

Attractive channel Skyrmions and the deuteron (with R.A. Leese and N.S. Manton) Nuclear Physics B 442 (1995) 228--267, hep-ph/9502405

Dynamics of baby Skyrmions (with B.M.A.G. Piette and W.J. Zakrzewski) Nuclear Physics B 439 (1995) 205--235, hep-ph/9410256

Multisolitons in a 2-dimensional Skyrme Model (with B.M.A.G. Piette and W.J. Zakrzewski) Zeitschrift fuer Physik C 65 (1995) 165, hep-th/9406160

Dynamics of moving and spinning Skyrmions, Zeitschrift f"ur Physik C 61 (1994) 479--494, hep-ph/9308236

Bundles over moduli spaces and the quantisation of BPS monopoles (with N.S. Manton) Annals of Physics 225 (1993) 290--338.

Quantum scattering of BPS monopoles at low energy, Nuclear Physics B 367 (1991) 177--214 .

I try to keep the list of my papers and conference proceedings up-to-date, but if in doubt check the complete list, including citations, from Google Scholar or the (less complete) Inspire

I have written one textbook on differential equations, which appeared in October 2011. See also Amazon
Research Group
Mathematical Physics