Publications and preprints

[research supported by NSF grant DMS0500788, and ANR grants ANR-05-JCJC-0107091 and 05-JCJCJ-0087-01]

Resonances sur les varietes asymptotiquement hyperboliques, 2004. PhD thesis.

Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds, 2003.
Duke Math. Journal  129 (2005), no. 1., 1-37. [Arxiv math.SP/0311424].

Absence of resonance near the critical line on asymptotically hyperbolic manifolds, 2004. 
Asymptotic Analysis 42 (2005), no. 1-2, 105-121. [Arxiv math.SP/0406496]. 

Resonances and scattering poles on asymptotically hyperbolic manifolds, 2004.
Math. Research Letters 12 (2005), no. 1, 103-119. [Arxiv math.DG/0403545].

Resonances on some geometrically finite hyperbolic manifolds, 2004.
Communications. in Partial Differential Equations 31 (2006), 445,467. [Arxiv math.SP/0412064].

Wave 0-trace and length spectrum on convex co-compact hyperbolic manifolds,  2005, joint with Frederic Naud.
Communications in Analysis and Geometry 14 (2006), no 5, 945-967. [Arxiv math.DG/0606223]

Scattering on geometrically finite hyperbolic quotients with rational cusps, 2005,
Cubo Journal (special issue for the Proceedings of the second symposium in Spectral Theory and Scattering) (2009), 33 pages.

Generalized Krein formula, determinants and Selberg zeta function in even dimension, 2005 (revised Aug. 2007),
American Journal of Math. [Arxiv math.SP/0512173] .

Scattering and inverse scattering on ACH manifolds, 2006, joint with Antonio Sa Barreto.
J. Reine Angew. Math. 622 (2008), 1-55. [Arxiv math.AP/0605538]

The resolvent at low energy and Riesz transform for Schrodinger operators on asymptotically conic manifolds, Part I, joint with Andrew Hassell.
Math Annalen. 341 (2008), no 4, 859-896. [Arxiv math.AP/0701515]

The determinant of the Dirichlet-to-Neumann map for surfaces with boundary , 2007, joint with Laurent Guillope
Int. Math. Res. Not. (2007), no. 22, Art. ID rnm099. [Arxiv math.SP/0701727]

The resolvent at low energy and Riesz transform for Schrodinger operators on asymptotically conic manifolds, Part II, 2007, joint with Andrew Hassell.
Ann. Inst. Fourier. (2008) [Arxiv math/0703316].

Inverse Problems for Einstein manifolds, 2007, joint with Antonio Sa Barreto.
Inverse Problems and Imaging. 3 (2009), no 1, 1-15. [arXiv:0710.1136].

Wave decay on convex co-compact hyperbolic manifolds, 2008, joint with Frederic Naud.
Comm. Math. Physics. 287, (2009), no 2, 489-511.[arXiv:0802.1345]

Conformal harmonic forms, Branson-Gover operators and Dirichlet problem at infinity, (2008), joint with Erwann Aubry.
Preprint. [arXiv:0808.0552]

Eta invariant and Selberg zeta function of odd type over convex co-compact hyperbolic manifolds, (2009), joint with Sergiu Moroianu and Jinsung Park.
Preprint. [arXiv:0901.4082].

Calderon inverse problem on Riemann surfaces, (2009), joint with Leo Tzou.
Preprint. [arXiv:0904.3804]

Spectral characterization of Poincare-Einstein manifold with infinity of positive Yamabe type, (2009) joint with Jie Qing
Preprint.

Calderon projector and cobordism invariance for the Dirac operator (2009), joint with Sergiu Moroianu and Jinsung Park.

Proceedings, talks, etc:

Resolvent and scattering on geometrically finite hyperbolic manifolds, talk at the PDE seminar of Ecole Polytechnique, october 2005.

Inverse problems for Einstein manifolds, talk for the Paris Nord-Berkeley-Bonn videoseminar, may 2008.

Books

Operateurs geometriques, invariants conformes et varietes asymptotiquement hyperboliques. Joint with Zindine Djadli and Marc Herzlich.
Panorama et Synthese SMF, (2008).