Version francaise

Published articles and books

  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. (with 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. (with 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. (with Michael Penkava) Deformation quantization of polynomial Poisson algebras, Journal of Algebra 227 (2000) 365-393
  11. (with Luis Piovan) Integrable systems and projective images of Kummer surfaces, Annali della scuola normale superiore di Pisa XXIX (2000) 351-392
  12. (with 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. (with Mas Kimura) Commuting matrix differential operators and loop algebras, Bulletin des Sciences Mathématiques 125 (5) (2001) 407-428
  14. (with Rui Fernandes) Hyperelliptic Prym varieties and integrable systems, Communications in Mathematical Physics 221 (1) (2001) 169-196
  15. (with 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 Second Edition (2001)
  17. (with Claude Roger) Poisson cohomology of the affine plane, Journal of Algebra 251 (2002) 448-460
  18. (with Vadim Kuznetsov) Bäcklund transformations for finite-dimensional integrable systems: a geometric approach, Journal of Geometry and Physics 44 (1) (2002) 1-40
  19. (with 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. (with Mark Adler and 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. (with Pantelis Damianou and Hervé Sabourin) Transverse Poisson structures to adjoint orbits in semi-simple Lie algebras, Pacific Journal of Mathematics 232 (1) (2007) 111--138
  23. (with Mark Adler and 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. (with Pantelis Damianou and 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. (with Pantelis Damianou and 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. (with Mark Adler and Pierre van Moerbeke) Moment matrices and multi-component KP, with applications to random matrix theory Communications in Mathematical Physics 286 (2009) 1--38
  28. (with Rei Inoue and 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. (with Mark Adler, Jonathan Delepine and Pierre van Moerbeke) A PDE for non-intersecting Brownian motions and applications Advances in Mathematics 226 (2011), no. 2, 1715--1755.
  31. (with Camille Laurent-Gengoux and Eva Miranda) Action-angle coordinates for integrable systems on Poisson manifolds Int. Math. Res. Not. no. 8 1839-1869 (2011).
  32. (with Pantelis Damianou and 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. (with Camille Laurent and Anne Pichereau) Poisson Structures , Grundlehren der Mathematischen Wissenschaften, 347. Springer, Heidelberg, 2013. xxiv+461 pp.
  34. (with Peter H. van der Kamp, Theodoros E. Kouloukas, G.R.W. Quispel and 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. (with Rei Inoue and Takao Yamazaki) Algebraic integrable systems related to spectral curves with automorphisms , Topical issue "Finite-dimensional integrable systems: on the crossroad of algebra, geometry and physics" of Journal of Geometry and Physics 87 (2015) 198-216.
  36. (with Pantelis Damianou and Hervé Sabourin) Intermediate Toda Systems Regular and Chaotic Dynamics 20 (3) (2015) 277--292
  37. (with Theodoros Kouloukas and Reinout Quispel) Liouville integrability and superintegrability of a generalized Lotka-Volterra system and its Kahan discretization J. Physics A (2016)
  38. (with Tassos Bountis) Lotka-Volterra systems satisfying a strong Painleve property Physics Letters A. 380 (2016), no. 47, 3977-3982
  39. (with Cyrille Ospel and Thierry Lambre) Poisson enveloping algebras and the Poincaré-Birkhoff-Witt theorem Journal of Algebra 485 (2017), 166-198
  40. (with Pantelis A. Damianou, Charalampos A. Evripidou and Pavlos Kassotakis) Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems. Journal of Mathematical Physics (2017), no 3, 032704, 17pp
  41. (with Charalampos A. Evripidou and Pavlos Kassotakis) Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems. Journal of Regular and Chaotic Dynamics (2017), no 6, 721-739
  42. (with Rui L. Fernandes and Camille Laurent-Gengoux) Action-Angle variables for Non-Commutative Integrable Systems Journal of Symplectic Geometry 16 (2018)n no. 3, 645--699
  43. (with Charalampos A. Evripidou and 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. (with Cyrille Ospel and Florin Panaite) Generalized NS-algebras. Journal of Pure and Applied Algebra, to appear (2024)
  46. (with Charalampos A. Evripidou and 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. (with Cyrille Ospel and Florin Panaite) Polarization and deformations of generalized dendriform algebras J. Noncommut. Geom. 16, No. 2, 561--594 (2022)
  48. (with Charalampos A. Evripidou and 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. (with Andy Hone and John Roberts) A family of integrable maps associated with the Volterra lattice Nonlinearity 37, No. 9, Article ID 095028, 65 p. (2024)
  50. (with Andy Hone and John Roberts and 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. (with Alexander Mikhailov) Commutative Poisson algebras from deformations of noncommutative algebras Lett. Math. Phys. 114, No. 5, Paper No. 108, 51 p. (2024)