Symplectic Manifolds and Isomonodromic Deformations Adv. in Math. 163, (2001) 137-205
Stokes Matrices, Poisson Lie Groups and Frobenius Manifolds Invent. Math. 146, (2001) 479-506
G-bundles, Isomonodromy and Quantum Weyl Groups Int. Math. Res. Not. 22, (2002) 1129-1166
Painlevé equations and complex reflections Ann. Inst. Fourier, 53, 4 (2003) 1009-1022. Volume in honour of Frédéric Pham
Wild non-abelian Hodge theory on curves (with O. Biquard) Compos. Math. 140 (2004), no. 1, 179-204
From Klein to Painlevé via Fourier, Laplace and Jimbo Proc. London Math. Soc. (3) 90 (2005) 167-208
Brief introduction to Painlevé VI (Expository) SMF, Séminaires et congrès, vol 13 (2006) 69-78
The fifty-two icosahedral solutions to Painlevé VI J. Reine Angew. Math. 596 (2006) 183-214
Some explicit solutions to the Riemann-Hilbert problem IRMA Lectures in Mathematics and Theoretical Physics, vol. 9 (2006) 85-112
Six results on Painlevé VI (Partly expository) SMF, Séminaires et congrès, vol 14, (2006) 1-20
Higher genus icosahedral Painlevé curves Funk. Ekvac. (Kobe), 50 (2007) 19-32
Quasi-Hamiltonian geometry of meromorphic connections Duke Math. J. 139, No. 2 (2007), 369-405
Regge and Okamoto symmetries Comm. Math. Phys., 276, (2007) 117-130
Quivers and difference Painlevé equations Groups and Symmetries: From the Neolithic Scots to John McKay, CRM Proceedings and Lecture Notes, Volume 47 (2009) Montreal
Through the analytic halo: Fission via irregular singularities Ann. Inst. Fourier 59, 7 (2009) 2669-2684
Towards a nonlinear Schwarz's list (Expository) In: The many facets of geometry: a tribute to Nigel Hitchin J-P. Bourguignon, O. Garcia-Prada & S. Salamon (eds), OUP (2010) 210-236
Riemann-Hilbert for tame complex parahoric connections Transformation groups 16, No. 1, (2011) 27-50

Preprints
Geometry and braiding of Stokes data; Fission and wild character varieties
Simply-laced isomonodromy systems
Irregular connections and Kac-Moody root systems

Other
Symplectic geometry and isomonodromic deformations Oxford D.Phil. Thesis 1999: 178 pages, 3 figures
The moment map in symplectic geometry Cambridge part III essay, 1995, 28 pages

Note:

• not everything is on the arxiv, those that are can be seen by clicking here
  
• the versions here may be more up to date than the arxiv versions,
  
• the published version may be more up to date than those here (email me your address and I will happily mail you an offprint, if I have one left)