Objective
Inverse problems research concentrates on the mathematical theory and practical interpretation of indirect measurements. Applications are found in virtually every research field involving scientific, medical, or industrial imaging and mathematical modelling. Familiar examples include X-ray Computed Tomography (CT) and Magnetic Resonance Imaging (MRI). Inverse problems methods make it possible to employ important advances in modern mathematics in a vast number of application areas. Also, applications inspire new questions that are both mathematically deep and have a close connection to other sciences. This has made inverse problems research one of the most important and topical fields of modern applied mathematics.
The research team proposes to study fundamental mathematical questions in the theory of inverse problems. Particular emphasis will be placed on questions involving the interplay of mathematical analysis, partial differential equations, and Riemannian geometry. A major topic in the research programme is the famous inverse conductivity problem due to Calderón forming the basis of Electrical Impedance Tomography (EIT), an imaging modality proposed for early breast cancer detection and nondestructive testing of industrial parts. The geometric version of the Calderón problem is among the outstanding unsolved questions in the field. The research team will attack this and other aspects of the problem field, partly based on substantial recent progress due to the PI and collaborators. The team will also work on integral geometry questions arising in Travel Time Tomography in seismic imaging and in differential geometry, building on the solution of the tensor tomography conjecture in two dimensions obtained by the PI and collaborators in 2011. The research will focus on fundamental theoretical issues, but the motivation comes from practical applications and thus there is potential for breakthroughs that may lead to important advances in medical and seismic imaging.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- medical and health sciences clinical medicine oncology breast cancer
- natural sciences mathematics pure mathematics geometry
- engineering and technology medical engineering diagnostic imaging magnetic resonance imaging
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
- natural sciences mathematics applied mathematics mathematical model
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
ERC-2012-StG_20111012
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Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Host institution
40100 Jyvaskyla
Finland
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