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His research interests are mainly in Inverse Problems and Partial Differential Equations arising in Medical Imaging. He has made fundamental contributions to the field of Inverse Problems, solving several well-known longstanding open problems, and introducing powerful methods which are widely used. He has also had a strong and long held interest in collaborations with researchers in Electrical Engineering, which led to breakthrough ideas in ultrasound and electromagnetic imaging, and more recently on determining conductivity properties of tissue by novel use of magnetic resonance imagers. He was on the Editorial Board of Inverse Problems from 1991 to 1994.
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Inventiones mathematicaeno. 2 (2019): 395-451
semanticscholar(2013)
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SIAM Journal on Mathematical Analysisno. 3 (2013): 1820-1842
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