Objective
Research objectives and content
It is proposed to tackle problems in the area of intersection of geometric measure theory and harmonic analysis, focussing particularly on the interaction between geometric and analytic properties of sets. Proposed problems include: 1. providing a geometric characterization of general 1-dimensional subsets of the plane of analytic capacity zero, 2. investigating implications of L2-boundedness of various singular integral operators (in particular, discovering for which such operators L2-boundedness implies rectifiability), 3. discovering whether a set in the plane which has projections onto lines of positive length in almost every direction must have bounded Melnikov curvature, 4. understanding asymptotic doubling properties of general sets, 5. investigating relationships between Poincari and Trudinger inequalities, doubling or strong doubling conditions, and the geometry of sets.
Training content (objective, benefit and expected impact)
The proposed collaboration would strengthen the preexisting links between NUIM and the applicant's current institution, the University of Jyvdskyld. (The two departments are currently part of a network, and a number of members of staff collaborate regularly.) The applicant's previous training in geometric measure theory and real analysis, and the host's expertise in harmonic analysis, make collaboration on such problems very natural. The proposed project would also broaden the applicant's range of expertise, while building on her current research knowledge.
Links with industry / industrial relevance (22)
None.
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: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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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.
Data not available
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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.
Coordinator
47 Maynooth, Co. Kildare
Ireland
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.