Guillarmou Colin

cguillar at math.univ-nantes.fr (or cguillar at math.unice.fr)

October  2005:  Research position for CNRS at Nice University.
2004-2005: Visiting assistant professor at Purdue University.
2003-2004: ATER (teaching and research assistant) at Nantes University.
2000-2003: PhD thesis under the direction of Laurent Guillopé. Defense on june 16, 2004.

CV: vita (in french).

Research areas: spectral and scattering theory, differential geometry, PDE. 

Current research interests:

Scattering theory on asymptotically hyperbolic metrics and on geometrically finite hyperbolic manifolds, geometric and conformal related invariants.
Scattering and inverse problems for ACH metrics (incl. pseudoconvex domains, convex co-compact complex hyperbolic groups).
Small energy behaviour of resolvents, Riesz transform Lp boundedness.
Large time wave behaviour, trace formulae, zeta functions.

Publications and preprint:

Résonances sur les variétés asymptotiquement hyperboliques, 2004. PhD thesis.

Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds, 2003.
Duke Math. J.   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.
Comm. in Partial Differential Equations 31 (2006), 445,467. [Arxiv math.SP/0412064].

Wave 0-trace and length spectrum on convex co-compact hyperbolic manifolds   (with Frédéric Naud), 2005, submitted.

Scattering on geometrically finite hyperbolic quotients with rational cusps, 2005, submitted.

Generalized Krein formula, determinants and Selberg zeta function in even dimension, preprint 2005 (revised feb. 2006), submitted.

Scattering and inverse scattering on ACH manifolds (with Antonio Sa Barreto) 2006.

Grants: Last four papers benefit from support of NSF grant DMS0500788, last two ones from french ANR grant JC05-52556 and JC0546063.

Proceedings, talks, etc:

Scattering theory on asymptotically hyperbolic spaces. Transparents from talks in Autumn 2004.

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

Links: 

Serveur ArXiv
MathSciNet ; Zentralblatt.
Spectral theory (and related topics) webpages  - by R.Cassanas.
Dynamical system