Research Interests
My research mostly concerns
inverse problems and imaging, partial differential equations, microlocal analysis, and mathematical physics.
I focus on applications as medical imaging and imaging the structure of the earth.
My CV can be found here and my short CV can be found here.
Preprints
A. Enciso, G. Uhlmann, M. Wrochna.
The Dirichlet-to-Neumann map on asymptotically anti-de Sitter spaces and holography.
G. Uhlmann, Y. Wang.
Recovering asymptotics of potentials from the scattering of relativistic Schrödinger operators.
A. Feizmohammadi, T. Ghosh, K. Krupchyk, A. Rüland, J. Sjöstrand, G. Uhlmann.
Fractional anisotropic Calderón problem with external data.
P. Hintz, A. Sá Barreto, G. Uhlmann, Y. Zhang.
Inverse nonlinear scattering by a metric.
R. Lai, G. Uhlmann, L. Yan.
Partial data inverse problems for the nonlinear magnetic Schrödinger equation.
S. Liu, G. Uhlmann, Y. Yang.
An inverse hyperbolic problem with application to joint photoacoustic parameter determination.
A. Feizmohammadi, K. Krupchyk, G. Uhlmann.
Calderón problem for fractional Schrödinger operators on closed Riemannian manifolds.
A. Feizmohammadi, Y. Kian, G. Uhlmann.
Partial data inverse problems for reaction-diffusion and heat equations.
G. Uhlmann, J. Zhai.
Invertibility of local geodesic transverse and mixed ray transforms II: higher order tensors.
G. Uhlmann, J. Zhai.
Invertibility of local geodesic transverse and mixed ray transforms I: basic cases.
G. Covi, T. Ghosh, A. Rüland, G. Uhlmann.
A reduction of the fractional Calderón problem to the local Calderón problem by means of the Caffarelli-Silvestre extension.
C.-L. Lin, Y.-H. Lin, G. Uhlmann.
The Calderón problem for nonlocal parabolic operators.
J. Ilmavirta, G. Uhlmann.
Breaking the conformal invariance with supernova neutrino tomography.
T. Ghosh, G. Uhlmann.
The Calderón problem for nonlocal operators.
M. Lassas, G. Uhlmann, Y. Wang.
Determination of vacuum space-times from the Einstein-Maxwell equations.
Y. Kurylev, M. Lassas, G. Uhlmann.
Linearization Stability Results and Active Measurements for the Einstein-Scalar Field Equations.
Y. Kurylev, M. Lassas, G. Uhlmann.
Determination of structures in the space-time from local measurements: a detailed exposition.
