= Gunther Uhlmann
{c}
<Gunther Uhlmann> studies <inverse problems>, imaging and <partial differential equations>. His research asks how measurements made outside an inaccessible region constrain its internal coefficients or geometry. His institutional research account identifies applications to medical imaging and the structure of Earth.https://sites.math.washington.edu/~gunther/[Research Interests]{ref}
With <Leonid Pestov>, he proved a two-dimensional <boundary rigidity> theorem: for a compact simple <Riemannian manifold>, boundary distances recover the metric up to a boundary-fixing <diffeomorphism>. The qualification prevents confusing a recoverable physical geometry with a unique coordinate description.<Two dimensional compact simple Riemannian manifolds are boundary distance rigid by Leonid Pestov and Gunther Uhlmann>[Introduction and Theorem 1.1]{ref}
This gives a precise version of the imaging question “can travel times reveal the interior?” It also explains why assumptions about ray geometry matter: if measurements never probe a hidden region, changing that region need not change the data.
\Image[https://sites.math.washington.edu/~gunther/gunther.jpg]
{title=Gunther Uhlmann, portrait identified on his University of Washington page}
Back to article page
