Publications and preprints

[research supported by ANR grants ANR-09-JCJC-0099-01

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. 131 (2009), no 5. [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. 59 (2009), no 2, 1553-1610. [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.
Journ. Eur. Math. Soc. 13 (2011), no 4, 911-957. [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.
Advances in Math. 225 (2010), no 5, 2464-2516. [arXiv:0901.4082].

Calderon inverse problem on Riemann surfaces, (2009), joint with Leo Tzou.
Proceedings of CMA 44 (2009), 129-142. Volume for the AMSI/ANU workshop on Spectral Theory and Harmonic Analysis. [arXiv:0904.3804]

Spectral characterization of Poincare-Einstein manifold with infinity of positive Yamabe type, (2009) joint with Jie Qing
Int. Math. Res. Not. (2010), 1720-1740. [arXiv:0909.3207].

Strichartz estimates without loss on manifolds with hyperbolic trapped geodesics , (2009), joint with Nicolas Burq and Andrew Hassell.
GAFA 20 (2010), 627-656. [arXiv: 0907.3545].

Calderon inverse problem with partial data on Riemann surfaces (2009), joint with Leo Tzou.
Duke Math. J. 158 (2011), no 1, 83-120.  [arXiv:0908.1417].

Spectral analysis of the Laplacian on geometrically finite hyperbolic manifolds (2010), joint with Rafe Mazzeo.
Inventiones Math 187 (2012) no 1, 99-144. [arXiv: 1002.2165].

Inverse scattering at fixed energy for surfaces with Euclidean ends (2010), joint with Mikko Salo and Leo Tzou.
Comm. Math. Phys. 303 (2011), no 3, 761-784 . [arXiv: 1004.0315].

Random walk on surfaces with hyperbolic cusps, (2010), joint with Hans Christianson and Laurent Michel
Annales IHP 12 (2011), 743-775. [arXiv: 1005.2754]

Spectral analysis of random walk operators on Euclidean space, (2010), joint with Laurent Michel
Math. Research Letters 18 (2011), no 3, 405-424. [arXiv: 1006.3065]

Identification of a connection from Cauchy data space on a Riemann surface with boundary, (2010), joint with Leo Tzou
GAFA 21 (2001), no 2, 393-418. [arXiv: 1007.0360]

Calderon and Bergman projectors on spin manifolds with boundary (2010), joint with Sergiu Moroianu and Jinsung Park.
Preprint submitted. [arXiv:1009.3179]

Resolvent at low energy III: the spectral measure, (2010), joint with Andrew Hassell and Adam Sikora
Transactions of the AMS. [arXiv: 1009.3084]

Restriction and spectral multiplier theorems on asymptotically conic manifolds, (2010), joint with Andrew Hassell and Adam Sikora
Preprint submitted. [arXiv: 1012.3780]

Chern-Simons line bundle on Teichmuller space, (2011) joint with Sergiu Moroianu
Preprint submitted. [arXiv: 1102.1981]

Inverse boundary problems for systems in two dimensions, (2011) joint with Pierre Albin, Leo Tzou, and Gunther Uhlmann
Preprint submitted. [arXiv:1105.4565]

Equidistribution of Eisenstein series on convex co-compact hyperbolic manifolds, (2011) joint with Frederic Naud.
Preprint submitted. [arXiv:1107.2655]

Microlocal limits of plane waves and Eisenstein functions, (2012) joint with Semyon Dyatlov.
Preprint. [arXiv:1204.1305]

Scattering phase asymptotics with fractal remainders, (2012) joint with Semyon Dyatlov.
Preprint. [arXiv:]

Uniform Sobolev estimates for non-trapping metrics, (2012) joint with Andrew Hassell.
Preprint. [arXiv:]

Proceedings, Survey:

Survey on Calderon inverse problem in dimension 2, (2011), joint with  Leo Tzou,
Inside Out II, edited by Gunther Uhlmann, MSRI.

Books

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