Guillarmou Colin

Laboratoire de Mathématiques d'Orsay,
Bâtiment 425
Faculté des Sciences d'Orsay Université Paris-Sud
F-91405 Orsay Cedex
email: colin.guillarmou ( at ) math.u-psud.fr


Research areas.

PDE, differential geometry, spectral theory. 

Current research interests.

Geometric scattering theory, microlocal analysis (resolvents, Eisenstein functions and distorted plane waves, scattering operators) -
Conformal geometry (Fefferman-Graham program, AdS-CFT) -
Hyperbolic geometry and Teichmüller theory (geometrically finite hyperbolic 3-manifolds, renormalized volume and Chern-Simons invariants) -
Geometric and spectral invariants (determinant of Laplacians, eigenvalues, renormalized volume) -
Quantum chaos and resonances (semiclassical measures, localisation and counting resonances) -
Dynamical zeta functions and hyperbolic dynamical systems (Selberg trace formulas in non-compact settings, Ruelle resonances for flows, cohomological equations) -
Inverse problems, analytic (Calderon problem, spetcral rigidity) and geometric (X-ray transform, boundary rigidity) -
Harmonic analysis (Riesz transform, multipliers, restriction theorems), particularly in geometric settings -
Liouville gravity, random metrics on Riemann surfaces (Gaussian free field, Gaussian multiplicative chaos, Polyakov partition function) -

Publications and preprints

Vita

Collaborators

Pics

Links


CONFERENCES :

Winter school : Resonances: scattering and dynamics, 21-23 february 2017, Orsay.

Resonances: Geometric Scattering and Dynamics, 13-17 March 2017, CIRM Luminy.

LMS/CLAY Summer School in Cardiff, 26-30 june 2017.