English version

Articles et livres publiés

  1. Linearising two-dimensional integrable systems and the construction of action-angle variables, Math. Z. 211 (1992) 265-313
  2. La linéarisation des systèmes intégrables, Comptes Rendus du Séminaire de Montpellier (1992-1993) 27-42
  3. A special case of the Garnier system, (1,4)-polarised Abelian surfaces and their moduli, Compositio Math. 92 (1994) 157-203
  4. (avec José Bertin) The even master system and generalized Kummer surfaces, Math. Proc. Camb. Phil. Soc. 116 (1994) 131-142
  5. Stratifications of hyperelliptic Jacobians and the Sato Grassmannian, Acta Appl. Math. 40 (1995) 143-172
  6. Integrable systems in the realm of algebraic geometry, Springer Lecture Notes in Mathematics 1638 (1996)
  7. Integrable Hamiltonian systems associated to families of curves and their bi-Hamiltonian structure, Progress in Mathematics, Birkhäuser, ``Systèmes intégrables et feuilletages'' (1997) 187-212,
  8. Integrable systems and symmetric products of curves, Math. Z. 227 (1998) 93-127
  9. (avec Marco Pedroni) A Lie algebraic generalization of the Mumford system, its symmetries and its multi-Hamiltonian structure, Regular and Chaotic dynamics 3 (1998) 132-160
  10. (avec Michael Penkava) Deformation quantization of polynomial Poisson algebras, Journal of Algebra 227 (2000) 365-393
  11. (avec Luis Piovan) Integrable systems and projective images of Kummer surfaces, Annali della scuola normale superiore di Pisa XXIX (2000) 351-392
  12. (avec Peter Bueken) The moduli problem for integrable systems: the example of a geodesic flow on SO(4), Journal of the London Mathematical Society 62 (2) (2000) 357-369
  13. (avec Mas Kimura) Commuting matrix differential operators and loop algebras, Bulletin des Sciences Mathématiques 125 (5) (2001) 407-428
  14. (avec Rui Fernandes) Hyperelliptic Prym varieties and integrable systems, Communications in Mathematical Physics 221 (1) (2001) 169-196
  15. (avec Michael Penkava) Hochschild cohomology of polynomial algebras, Communications in Contemporary Mathematics 3 (3) (2001) 393-402
  16. Integrable systems in the realm of algebraic geometry, Springer Lecture Notes in Mathematics 1638 Deuxième Edition (2001)
  17. (avec Claude Roger) Poisson cohomology of the affine plane, Journal of Algebra 251 (2002) 448-460
  18. (avec Vadim Kuznetsov) Bäcklund transformations for finite-dimensional integrable systems: a geometric approach, Journal of Geometry and Physics 44 (1) (2002) 1-40
  19. (avec Christina Birkenhake) The order of vanishing of the Riemann theta function in the KP direction: a geometric proof, Compositio Mathematica 135 (2003) 323--330
  20. (avec Mark Adler et Pierre van Moerbeke) Algebraic Integrability, Painlevé Geometry and Lie Algebras, Ergebnisse der Mathematik 47 (2004) Springer-Verlag
  21. Integrable systems and moduli spaces of rank 2 vector bundles on a non-hyperelliptic genus 3 curve, Annales de l'Institut Fourier 55 (6) (2005) 1789--1802
  22. (avec Pantelis Damianou et Hervé Sabourin) Transverse Poisson structures to adjoint orbits in semi-simple Lie algebras, Pacific Journal of Mathematics 232 (1) (2007) 111--138
  23. (avec Mark Adler et Pierre van Moerbeke) Singularity confinement for a class of m-step recursion relations from combinatorics, Phil. Trans. R. Soc. A 366 (2008) 877--922
  24. Algebraic integrability: a survey, Phil. Trans. R. Soc. A 366 (2008) 1203--1224
  25. (avec Pantelis Damianou et Hervé Sabourin) Nilpotent Orbits in Simple Lie Algebras and their Transverse Poisson structures, Geometry and Physics: XVI International Fall Workshop, R. L. Fernandes and R. Picken (eds.), AIP Conference Proceedings Volume 1023 (2008) 148 -- 152
  26. (avec Pantelis Damianou et Hervé Sabourin) Transverse Poisson structures: the subregular and minimal orbits, Proceedings of the 10th International Conference on Differential Geometry and Its Applications (2008) 419--429
  27. (avec Mark Adler et Pierre van Moerbeke) Moment matrices and multi-component KP, with applications to random matrix theory Communications in Mathematical Physics 286 (2009) 1--38
  28. (avec Rei Inoue et Takao Yamazaki) Singular fiber of the Mumford system and rational solutions to the KdV hierarchy Communication on Pure and Applied Mathematics 63 (2010) 508--532
  29. Intégrabilité algébrique : une introduction. African Diaspora Journal of Mathematics 9 (2010) 1--16
  30. (avec Mark Adler, Jonathan Delepine et Pierre van Moerbeke) A PDE for non-intersecting Brownian motions and applications Advances in Mathematics 226 (2011), no. 2, 1715-1755.
  31. (avec Camille Laurent-Gengoux et Eva Miranda) Action-angle coordinates for integrable systems on Poisson manifolds Int. Math. Res. Not. no. 8 1839-1869 (2011).
  32. (avec Pantelis Damianou et Hervé Sabourin) Height-2 Toda systems Group analysis of differential equations and integrable systems, 76-90, Department of Mathematics and Statistics, University of Cyprus, Nicosia, 2011.
  33. (avec Camille Laurent et Anne Pichereau) Poisson Structures , Grundlehren der Mathematischen Wissenschaften, 347. Springer, Heidelberg, 2013. xxiv+461 pp.
  34. (avec Peter H. van der Kamp, Theodoros E. Kouloukas, G.R.W. Quispel et Dinh T. Tran) Integrable and superintegrable systems associated with multi-sums of products Proc. R. Soc. Lond. Ser. A 470 (2014), no. 2172, 23pp
  35. (avec Rei Inoue et Takao Yamazaki) Algebraic integrable systems related to spectral curves with automorphisms , Numéro spécial (topical issue) "Finite-dimensional integrable systems: on the crossroad of algebra, geometry and physics" de Journal of Geometry and Physics 87 (2015) 198-216
  36. (avec Pantelis Damianou et Hervé Sabourin) Intermediate Toda Systems Regular and Chaotic Dynamics 20 (3) (2015) 277--292
  37. (avec Theodoros Kouloukas et Reinout Quispel) Liouville integrability and superintegrability of a generalized Lotka-Volterra system and its Kahan discretization J. Physics A 49 (2016), no. 22, 13 pp.
  38. (avec Tassos Bountis) Lotka-Volterra systems satisfying a strong Painleve property Physics Letters A. 380 (2016), no. 47, 3977-3982
  39. (avec Cyrille Ospel et Thierry Lambre) Poisson enveloping algebras and the Poincaré-Birkhoff-Witt theorem Journal of Algebra 485 (2017), 166-198
  40. (avec Pantelis A. Damianou, Charalampos A. Evripidou et Pavlos Kassotakis) Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems. Journal of Mathematical Physics (2017), no 3, 032704, 17pp
  41. (avec Charalampos A. Evripidou et Pavlos Kassotakis) Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems. Journal of Regular and Chaotic Dynamics (2017), no 6, 721-739
  42. (avec Rui L. Fernandes et Camille Laurent-Gengoux) Action-Angle variables for Non-Commutative Integrable Systems Journal of Symplectic Geometry 16 (2018), no. 3, 645--699
  43. (avec Charalampos A. Evripidou et Pavlos Kassotakis) Integrable reductions of the dressing chain. Journal of Computational Dynamics (2019), no 6, 277--306
  44. The periodic 6-particle Kac-van Moerbeke system. Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato's 65th birthday. Volume 1. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 458, 192--216 (2020)
  45. (avec Cyrille Ospel et Florin Panaite) Generalized NS-algebras. Journal of Pure and Applied Algebra, to appear (2024)
  46. (avec Charalampos A. Evripidou et Pavlos Kassotakis) Kahan discretizations of skew-symmetric Lotka-Volterra systems and Poisson maps Math. Phys. Anal. Geom. 24, No. 3, Paper No.26 28p. (2021)
  47. (avec Cyrille Ospel et Florin Panaite) Polarization and deformations of generalized dendriform algebras J. Noncommut. Geom. 16, No. 2, 561-594 (2022)
  48. (avec Charalampos A. Evripidou et Pavlos Kassotakis) Morphisms and automorphisms of skew-symmetric Lotka-Volterra systems J. Phys. A, Math. Theor. 55, No. 32, Article ID 325201, 33 p. (2022)
  49. (avec Andy Hone et John Roberts) A family of integrable maps associated with the Volterra lattice Nonlinearity 37, No. 9, Article ID 095028, 65 p. (2024)
  50. (avec Andy Hone et John Roberts et Federico Zullo) Integrable maps in 4D and modified Volterra lattices Open Commun. Nonlinear Math. Phys. 2024, Spec. Iss. 1, Paper No. 18, 13 p. (2024)
  51. (avec Alexander Mikhailov) Commutative Poisson algebras from deformations of noncommutative algebras Lett. Math. Phys. 114, No. 5, Paper No. 108, 51 p. (2024)