Objective Inverse problems constitute an interdisciplinary field of science concentrating on the mathematical theory and practical interpretation of indirect measurements. Their applications include medical imaging, atmospheric remote sensing, industrial process monitoring, and astronomical imaging. The common feature is extreme sensitivity to measurement noise. Computerized tomography, MRI, and exploration of the interior of earth by using earthquake data are typical inverse problems where mathematics has played an important role. By using the methods of inverse problems it is possible to bring modern mathematics to a vast number of applied fields. Genuine scientific innovations that are found in mathematical research, say in geometry, stochastics, or analysis, can be brought to real life applications through modelling. The solutions are often found by combining recent theoretical and computational advances. The study of inverse problems is one of the most active and fastest growing areas of modern applied mathematics, and the most interdisciplinary field of mathematics or even science in general.The exciting but high risk problems in the research plan of the PI include mathematics of invisibility cloaking, invisible patterns, practical algorithms for imaging, and random quantum systems. Progress in these problems could have a considerable impact in applications such as construction of metamaterials for invisible optic fibre cables, scopes for MRI devices, and early screening for breast cancer. The progress here necessitates international collaboration. This will be realized in upcoming programs on inverse problems. The PI is involved in organizing semester programs in inverse problems at MSRI in 2010, Isaac Newton Institute in 2011, and Mittag-Leffler -institute in 2012. Fields of science natural sciencesphysical sciencesquantum physicsnatural sciencesearth and related environmental sciencesgeologyseismologymedical and health sciencesclinical medicineoncologybreast cancernatural sciencesmathematicspure mathematicsgeometryengineering and technologymedical engineeringdiagnostic imaging Programme(s) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) ERC-AG-PE1 - ERC Advanced Grant - Mathematical foundations Call for proposal ERC-2010-AdG_20100224 See other projects for this call Funding Scheme ERC-AG - ERC Advanced Grant Coordinator TALLINNA TEHNIKAÜLIKOOL EU contribution € 637 045,34 Address Ehitajate tee 5 12616 Tallinn Estonia See on map Region Eesti Eesti Põhja-Eesti Activity type Higher or Secondary Education Establishments Principal investigator Lassi Juhani Päivärinta (Prof.) Administrative Contact Liina Kotkas (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data Beneficiaries (2) Sort alphabetically Sort by EU Contribution Expand all Collapse all TALLINNA TEHNIKAÜLIKOOL Estonia EU contribution € 637 045,34 Address Ehitajate tee 5 12616 Tallinn See on map Region Eesti Eesti Põhja-Eesti Activity type Higher or Secondary Education Establishments Principal investigator Lassi Juhani Päivärinta (Prof.) Administrative Contact Liina Kotkas (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data HELSINGIN YLIOPISTO Participation ended Finland EU contribution € 1 162 954,66 Address Yliopistonkatu 3 00014 Helsingin yliopisto See on map Region Manner-Suomi Helsinki-Uusimaa Helsinki-Uusimaa Activity type Higher or Secondary Education Establishments Administrative Contact Satu Väisänen (Ms.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data