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Research

Thesis:

Natural and projectively invariant quantizations, thesis, ULg, 2006.

Publications:

Here is a list with my published and submitted papers:

• spo(2|2)-equivariant quantizations on the supercircle S^{1|2}, with N. Mellouli and A. Nibirantiza, SIGMA, 9, 055, 17 pages, 2013,
• Geodesics on a supermanifold and projective equivalence of superconnections, with T. Leuther and G. Tuynman, Journal of Geometry and Physics, 67:81-96, 2013,
• On osp(p+1,q+1|2r)-equivariant quantizations, with T. Leuther and P. Mathonet, Journal of Geometry and Physics, 62:87-99, 2012,
• Natural and projectively invariant quantizations on supermanifolds, with T. Leuther, SIGMA, 7, 034, 12 pages, 2011,
• Projectively equivariant quantizations over superspaces R^{p|q}, with P. Mathonet, Letters in Mathematical Physics, 98:311-331, 2011,
• Existence of natural and conformally invariant quantizations of arbitrary symbols, with P. Mathonet, Journal of Nonlinear Mathematical Physics, 17:539-556, 2010,
• Equivariant quantization of orbifolds, with N. Poncin and R. Wolak, Journal of Geometry and Physics, 60(9):1103-1111, 2010,
• An explicit formula for natural and conformally invariant quantization, Letters in Mathematical Physics, 89:249-263, 2009,
• A first approximation for quantization of singular spaces, with N. Poncin and R. Wolak, Journal of Geometry and Physics, 59:503-518, 2009,
• On conformally equivariant quantizations, with P. Mathonet, Journal of the London Mathematical Society, 80:256-272, 2009,
• Non-uniqueness of natural and projectively equivariant quantization, Journal of Geometry and Physics, 58(2):253-258, 2008,
• Cartan connections and natural and projectively equivariant quantizations, with P. Mathonet, London Mathematical Society, 76:87-104, 2007,
• Explicit formula for natural and projectively equivariant quantization, Letters in Math. Physics, 78(2):173-188, 2006,
• Natural and projectively equivariant quantizations by means of Cartan connections, with P. Mathonet, Letters in Math. Physics, 72(3):183-196, 2005,
• Second order symmetries of the conformal Laplacian, with J.-P. Michel and J. Silhan, submitted in SIGMA, arXiv:1308.1046 (math.DG).

Here is a link to all my publications and talks.