Gunther Alberto Uhlmann Arancibia (9 February 1952, Chile) is a mathematician whose research focuses on inverse problems and imaging, microlocal analysis, partial differential equations and invisibility.

[1] Uhlmann studied mathematics as an undergraduate at the Universidad de Chile in Santiago, gaining his licenciatura degree in 1973.

He is currently also the Si-Yuan Professor at the Institute for Advanced Studies of the Hong Kong University of Science and Technology since 2014.

He was named a Clay Senior Scholar[5] at the Mathematical Sciences Research Institute (MSRI) at Berkeley in the Fall of 2010.

In Fall 2011 he was a Rothschild Distinguished Visiting Fellow[9] at the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK.

[17] The earlier work of Uhlmann was in microlocal analysis and propagation of singularities for equations with multiple characteristics, in particular in understanding the phenomenon of conical refraction.

[19] A striking application of this theory was given in the article with Allan Greenleaf on restricted X-ray transform.

[20] He and John Sylvester made a major breakthrough in Calderón's inverse problem[21] that has led to many other developments[22] including the case of partial data.