Objective
Research objectives and content
During the last few years I have been working in the general area of Geometric Analysis. I am interested in the study of area minimizing and minimal submanifolds, harmonic maps, and other related variational problems, where insight on existence and /or regularity properties of the solutions can be attained by bringing together tools from the theory of Partial Differential Equations, Geometric Measure Theory, and Diffential Geometry. Amongst other things, I propose to examine some questions concerning minimizing the area functional in certain classes of lagrangian submanifolds of a given symplectic manifold and the mean curvature flow. Training content (objective, benefit and expected impact)
At this point of my mathematical career I have gained some experience in the fields of Geometric Measure Theory and Elliptic Partial Differential Equations, but I feel I need to improve my understanding of the more (differential) geometric aspects, and of other types of PDEs (in particular parabolic ones, in view of my interest in the mean curvature flow). I would hope to use a TMR grant to pursue these objectives. The Mathematische Institut at the University of Bonn is one of the leading centers in the field of Geometric Partial Differential Equations, thus the experience gained there would certainly contribute greatly to my further development as a researcher.
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.
- natural sciences mathematics pure mathematics topology symplectic topology
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
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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.
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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
53115 BONN
Germany
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.