Publications

Below you can find a list of published and unpublished material.

Research Papers:

• On the infinitesimal gauge symmetries of closed forms, arXiv:1010.2189v2.
• Lie algebroid fibrations, together with Chenchang Zhu. Advances in Mathematics Vol 226, Issue 4 (march 2011), 3105-3135.
• Extensions of Lie Brackets, Journal of Geometry and Physics 60 (2010), 352-374.
• Poisson Fibrations and Fibered Symplectic Groupoids, together with Rui Loja Fernandes. AMS Contemporary Mathematics Series Vol 450 , p.41-59.
• Hessian Riemannian gradient flows in convex programming, together with Felipe Alvarez and Jérôme Bolte. SIAM J. Control Optim. Vol 43 , no. 2, 477-501.
• Semi-local invariants for non-resonnant Poisson structures on S^1xR^n, together with Jean-Paul Dufour, arXiv:math/0412238v1.
• Normal forms of Poisson structures near a symplectic leaf, arXiv:math/0403136v1.

In preparation:

• Integration of Coupling Dirac Structures, together with Rui Loja Fernandes (in preparation).
• Coupling tensors with a $3$-form background (in preparation).

PhD Thesis:

• Invariants semi-locaux des structures de Poisson, Ph.D. Thesis. University of Montpellier II, 2004. Supervised by Alberto Medina.