Gunther Uhlmann

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Gunther Uhlmann

Gunther Alberto Uhlmann Arancibia (born February 9, 1952 in Quillota ) is a Chilean-American mathematician who deals with analysis.

Uhlmann studied at the University of Santiago de Chile , where he obtained his mathematics diploma in 1973 (Licendiado en Matemáticas). In 1976 he received his doctorate from the Massachusetts Institute of Technology with Victor Guillemin (Hyperbolic pseudodifferential operators with double characteristics). He was a post-doc at Harvard University and the Courant Institute of Mathematical Sciences of New York University . From 1978 he was an instructor and from 1980 assistant professor at MIT. In 1984 he became Associate Professor and 1987 Professor at the University of Washington (from 2006 Walker Family Endowed Professor in Mathematics). Since 2010 he has also been a professor at the University of California, Irvine . He was visiting professor at MSRI , the Isaac Newton Institute , the University of California, Berkeley , various universities in South America and the University of Chicago .

Uhlmann dealt with partial differential equations and micro-local analysis with application in light refraction on cones. He is known for his work on inverse problems, such as the inverse problem of Alberto Calderon (electrically impedance tomography, electrical impedance tomography to close), from the voltage-current relationships on the edge of an area on the electrical conductivity within. Most recently he has dealt with the mathematical treatment of invisibility in optics, the feasibility of which with novel metamaterials had previously been investigated by the physicists Ulf Leonhardt and John Pendry .

In 2001/2 he was a Guggenheim Fellow and in 1984 a Sloan Research Fellow . In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( Inverse boundary value problems for partial differential equations ). Uhlmann is a Fellow of the American Academy of Arts and Sciences (2009), SIAM Fellow (2010) and a corresponding member of the Chilean Academy of Sciences. In 2011 he received the Bôcher Memorial Prize with Assaf Naor . He is a fellow of the American Mathematical Society .

Web links

Individual evidence

  1. Full name according to Gunther Uhlmann in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. Light intensity distribution in conical refraction , Comm. on Pure and Applied Mathematics, Volume 35, 1982, pp. 69-80
  3. A global uniqueness theorem for an inverse boundary value problem , Annals of Mathematics, Volume 125, 1987, pp. 153-169, The Calderon Problem for partial Cauchy Data , Annals of Mathematics, Volume 22, 2007, pp. 431-445, The Calderon problem with partial data in 2 dimensions , Journal AMS, 'Volume 23, 2010, p. 655
  4. Uhlmann, Allan Greanleaf, Yaroslav Kurylev, Matti Lassas Inverse problems and invisibility , Bulletin AMS, Volume 46, 2009, pp. 55-97