Published articles and books
-
Linearising two-dimensional integrable systems and the construction
of action-angle variables,
Math. Z. 211 (1992) 265-313
- La linéarisation des systèmes intégrables,
Comptes Rendus du Séminaire de Montpellier (1992-1993) 27-42
-
A special case of the Garnier system, (1,4)-polarised Abelian surfaces and
their moduli,
Compositio Math. 92 (1994) 157-203
- (with José Bertin)
The even master system and generalized Kummer surfaces,
Math. Proc. Camb. Phil. Soc. 116 (1994) 131-142
-
Stratifications of hyperelliptic Jacobians and the Sato Grassmannian,
Acta Appl. Math. 40 (1995) 143-172
- Integrable systems in the realm of algebraic geometry,
Springer Lecture Notes in Mathematics 1638 (1996)
- Integrable Hamiltonian systems associated to families of
curves and their bi-Hamiltonian structure,
Progress in Mathematics, Birkhäuser,
``Systèmes intégrables et feuilletages'' (1997) 187-212,
- Integrable systems and symmetric products of curves,
Math. Z. 227 (1998) 93-127
- (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
- (with Michael Penkava)
Deformation quantization of polynomial Poisson algebras,
Journal of Algebra 227 (2000) 365-393
- (with Luis Piovan)
Integrable systems and projective images of Kummer surfaces,
Annali della scuola normale superiore di Pisa XXIX
(2000) 351-392
- (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
- (with Mas Kimura)
Commuting matrix differential operators and loop algebras,
Bulletin des Sciences Mathématiques 125 (5) (2001) 407-428
- (with Rui Fernandes)
Hyperelliptic Prym varieties and integrable systems,
Communications in Mathematical Physics 221 (1) (2001) 169-196
- (with Michael Penkava)
Hochschild cohomology of polynomial algebras
,
Communications in Contemporary Mathematics 3 (3) (2001) 393-402
-
Integrable systems in the realm of algebraic geometry,
Springer Lecture Notes in Mathematics 1638 Second Edition (2001)
- (with Claude Roger)
Poisson cohomology of the affine plane,
Journal of Algebra 251 (2002) 448-460
- (with Vadim Kuznetsov)
Bäcklund transformations
for finite-dimensional integrable systems: a geometric approach,
Journal of Geometry and Physics 44 (1) (2002) 1-40
- (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
- (with Mark Adler and Pierre van Moerbeke)
Algebraic Integrability,
Painlevé Geometry and Lie Algebras,
Ergebnisse der Mathematik 47 (2004) Springer-Verlag
-
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
- (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
- (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
- Algebraic integrability: a survey,
Phil. Trans. R. Soc. A 366 (2008) 1203--1224
- (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
- (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
- (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
- (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
-
Intégrabilité algébrique : une introduction.
African Diaspora Journal of Mathematics 9 (2010) 1--16
- (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.
- (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).
- (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.
- (with Camille Laurent and Anne Pichereau)
Poisson Structures
, Grundlehren der Mathematischen Wissenschaften, 347. Springer, Heidelberg, 2013. xxiv+461 pp.
- (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
- (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.
- (with Pantelis Damianou and Hervé Sabourin)
Intermediate Toda Systems
Regular and Chaotic Dynamics 20 (3) (2015) 277--292
- (with Theodoros Kouloukas and Reinout Quispel)
Liouville integrability and superintegrability of a generalized Lotka-Volterra system and its Kahan discretization
J. Physics A (2016)
- (with Tassos Bountis)
Lotka-Volterra systems satisfying a strong Painleve property
Physics Letters A. 380 (2016), no. 47, 3977-3982
- (with Cyrille Ospel and Thierry Lambre)
Poisson enveloping algebras and the Poincaré-Birkhoff-Witt theorem
Journal of Algebra 485 (2017), 166-198
- (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
- (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
- (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
- (with Charalampos A. Evripidou and Pavlos Kassotakis)
Integrable reductions of the dressing chain.
Journal of Computational Dynamics (2019), no 6, 277--306