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Prépublications   Publications   Surveys   Annonces   Thèses  

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Prépublications
Polystability of Stokes representations and differential Galois groups (avec D. Yamakawa)
Twisted local wild mapping class groups: configuration spaces, fission trees and complex braids (avec J. Douçot et G. Rembado)
Twisted wild character varieties (avec D. Yamakawa)

Publications
Topology of the Stokes phenomenon Proc. Symp. Pure Math. 103 (2021) 55–100 (pdf)
Diagrams for nonabelian Hodge spaces on the affine line (avec D. Yamakawa) Comptes Rendus Mathématique 358 (2020) no. 1, 59–65 (pdf)
Wild Character Varieties, points on the Riemann sphere and Calabi's examples Representation Theory, Special Functions and Painlevé Equations — RIMS 2015 Advanced Studies in Pure Mathematics 76 (2018) 67–94 (pdf)
Symmetric cubic surfaces and G2 character varieties (avec R. Paluba) J. Algebraic Geom. 25 (2016), 607–631 (pdf)
Global Weyl groups and a new theory of multiplicative quiver varieties Geometry & Topology 19 (2015) 3467–3536 (pdf)
Geometry and braiding of Stokes data; Fission and wild character varieties Annals of Math. 179 (2014) 301–365 (arXiv, pdf)
Simply-laced isomonodromy systems Publ. Math. IHES 116 (2012) no. 1, 1–68 (arXiv, pdf)
Riemann-Hilbert for tame complex parahoric connections Transformation groups 16 (2011) no. 1, 27–50
Through the analytic halo: Fission via irregular singularities Ann. Inst. Fourier 59, 7 (2009) 2669–2684
Quivers and difference Painlevé equations Groups and Symmetries: From the Neolithic Scots to John McKay, CRM Proceedings and Lecture Notes (Montréal) 47 (2009) 25–51
Regge and Okamoto symmetries Comm. Math. Phys. 276 (2007) 117–130
Higher genus icosahedral Painlevé curves Funk. Ekvac. (Kobe) 50 (2007) 19–32
Some explicit solutions to the Riemann–Hilbert problem Differential equations and quantum groups. Bolibrukh memorial volume. IRMA Lectures in Mathematics and Theoretical Physics, vol. 9 (2007) 85–112
The fifty-two icosahedral solutions to Painlevé VI J. Reine Angew. Math. 596 (2006) 183–214
From Klein to Painlevé via Fourier, Laplace and Jimbo Proc. London Math. Soc. (3) 90 (2005) 167–208
Painlevé equations and complex reflections Ann. Inst. Fourier 53 (2003) no. 4, 1009–1022.
Wild non-abelian Hodge theory on curves (avec O. Biquard) Compos. Math. 140 (2004) no. 1, 179–204
Quasi-Hamiltonian geometry of meromorphic connections Duke Math. J. 139 (2007) no. 2, 369–405 (voir aussi arXiv 2002)
G-bundles, Isomonodromy and Quantum Weyl Groups Int. Math. Res. Not. 22 (2002) 1129–1166
Stokes Matrices, Poisson Lie Groups and Frobenius Manifolds Invent. Math. 146 (2001) 479–506
Symplectic Manifolds and Isomonodromic Deformations Adv. in Math. 163 (2001) 137–205

Surveys
Wild character varieties, meromorphic Hitchin systems and Dynkin diagrams Geometry and Physics: A Festschrift in honour of Nigel Hitchin Oxford University Press (2018) 433–454
Beyond the stars Oberwolfach report no. 12/2017 pp.615–620 Handwritten abstract (in their book)
Wild Character Varieties (one page summary) Oberwolfach report no. 22/2015 pp.9–10
Poisson varieties from Riemann surfaces Indag. Math. 25 (2014) no. 5, 872–900 (pdf)
Geometry of moduli spaces of meromorphic connections on curves, Stokes data, wild nonabelian Hodge theory, hyperkähler manifolds, isomonodromic deformations, Painlevé equations, and relations to Lie theory HDR thesis, Université Paris-Sud 12/12/12, 40 pages, 8 figures (arXiv, slides, poster)
Hyperkahler manifolds and nonabelian Hodge theory on (irregular) curves Texte d'un expose à l'IHP Jan 17, 2012, (HAL 21/2/12, arXiv:1203.6607)
Towards a nonlinear Schwarz's list The many facets of geometry: a tribute to Nigel Hitchin Oxford Univertiy Press (2010) 210–236
Brief introduction to Painlevé VI SMF, Séminaires et congrès, vol 13 (2006) 69–78
Six results on Painlevé VI SMF, Séminaires et congrès, vol 14 (2006) 1–20

Annonces
Irregular connections and Kac-Moody root systems June 2008 (arXiv:0806.1050) 31 pages, 7 figures (jamais soumis, voir "Simply-laced isomonodromy systems")

Thèses
Habilitation Université Paris-Sud 12/12/12, 40 pages, 8 figures (arXiv, slides, poster)
Symplectic geometry and isomonodromic deformations Oxford D.Phil., 1999, 178 pages, 3 figures (TEL)